Introduction to early universe cosmology

Proceedings of Science

Volumn , Issue , 2010, Pages

  Brandenberger, Robert H ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COSMOLOGICAL FLUCTUATION; COSMOLOGICAL PERTURBATION; CURRENT DATA; EARLY UNIVERSE; INFLATIONARY COSMOLOGY; INHOMOGENEITIES; OBSERVATIONAL COSMOLOGY; SMALL AMPLITUDE;

COSMOLOGY;

EID: 85019505641     PISSN: None     EISSN: 18248039     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (207)

1. R. H. Brandenberger, "Cosmology of the Very Early Universe", AIP Conf. Proc. 1268, 3-70 (2010). [arXiv:1003.1745 [hep-th]].
2. Guth AH, "The Inflationary Universe: A Possible Solution To The Horizon And Flatness Problems", Phys. Rev. D 23, 347 (1981).
3. R. Brout, F. Englert and E. Gunzig, "The Creation Of The Universe As A Quantum Phenomenon", Annals Phys. 115, 78 (1978).
4. A. A. Starobinsky, "A New Type Of Isotropic Cosmological Models Without Singularity", Phys. Lett. B 91, 99 (1980).
5. K. Sato, "First Order Phase Transition Of A Vacuum And Expansion Of The Universe", Mon. Not. Roy. Astron. Soc. 195, 467 (1981).
6. V. Mukhanov and G. Chibisov, "Quantum Fluctuation And Nonsingular Universe. (In Russian)", JETP Lett. 33, 532 (1981)
7. [Pisma Zh. Eksp. Teor. Fiz. 33, 549 (1981)].
8. W. Press, "Spontaneous production of the Zel'dovich spectrum of cosmological fluctuations", Phys. Scr. 21, 702 (1980).
9. A. A. Starobinsky, "Spectrum of relict gravitational radiation and the early state of the universe", JETP Lett. 30, 682 (1979)
10. [Pisma Zh. Eksp. Teor. Fiz. 30, 719 (1979)].
11. C. L. Bennett et al., "First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results", Astrophys. J. Suppl. 148, 1 (2003) [arXiv:astro-ph/0302207].
12. R. H. Brandenberger, "Alternatives to Cosmological Inflation", arXiv:0902.4731 [hep-th].
13. R. H. Brandenberger, "String Gas Cosmology", arXiv:0808.0746 [hep-th].
14. H. P. Gush, M. Halpern and E. H. Wishnow, "Rocket Measurement Of The Cosmic-Background-Radiation Mm-Wave Spectrum", Phys. Rev. Lett. 65, 537 (1990);
15. J. C. Mather et al., "Measurement of the Cosmic Microwave Background spectrum by the COBE FIRAS instrument", Astrophys. J. 420, 439 (1994).
16. D. Wands, "Duality invariance of cosmological perturbation spectra", Phys. Rev. D 60, 023507 (1999) [arXiv:gr-qc/9809062].
17. F. Finelli and R. Brandenberger, "On the generation of a scale-invariant spectrum of adiabatic fluctuations in cosmological models with a contracting phase", Phys. Rev. D 65, 103522 (2002) [arXiv:hep-th/0112249].
18. L. E. Allen and D. Wands, "Cosmological perturbations through a simple bounce", Phys. Rev. D 70, 063515 (2004) [arXiv:astro-ph/0404441].
19. T. Biswas, A. Mazumdar and W. Siegel, "Bouncing universes in string-inspired gravity", JCAP 0603, 009 (2006) [arXiv:hep-th/0508194].
20. R. H. Brandenberger, V. F. Mukhanov and A. Sornborger, "A Cosmological theory without singularities", Phys. Rev. D 48, 1629 (1993) [arXiv:gr-qc/9303001].
21. R. Brandenberger, H. Firouzjahi and O. Saremi, "Cosmological Perturbations on a Bouncing Brane", JCAP 0711, 028 (2007) [arXiv:0707.4181 [hep-th]].
22. Y. F. Cai, T. Qiu, Y. S. Piao, M. Li and X. Zhang, "Bouncing Universe with Quintom Matter", JHEP 0710, 071 (2007) [arXiv:0704.1090 [gr-qc]];
23. Y. F. Cai, T. T. Qiu, J. Q. Xia and X. Zhang, "A Model Of Inflationary Cosmology Without Singularity", arXiv:0808.0819 [astro-ph].
24. M. Novello and S. E. P. Bergliaffa, "Bouncing Cosmologies", Phys. Rept. 463, 127 (2008) [arXiv:0802.1634 [astro-ph]].
25. R. Brandenberger, "Matter Bounce in Horava-Lifshitz Cosmology", Phys. Rev. D 80, 043516 (2009) [arXiv:0904.2835 [hep-th]].
26. P. Horava, "Quantum Gravity at a Lifshitz Point", Phys. Rev. D 79, 084008 (2009) [arXiv:0901.3775 [hep-th]].
27. S. Alexander, T. Biswas and R. H. Brandenberger, "On the Transfer of Adiabatic Fluctuations through a Nonsingular Cosmological Bounce", arXiv:0707.4679 [hep-th].
28. Y. F. Cai, T. Qiu, R. Brandenberger, Y. S. Piao and X. Zhang, "On Perturbations of Quintom Bounce", JCAP 0803, 013 (2008) [arXiv:0711.2187 [hep-th]];
29. Y. F. Cai and X. Zhang, "Evolution of Metric Perturbations in Quintom Bounce model", arXiv:0808.2551 [astro-ph].
30. Y. F. Cai, T. Qiu, R. Brandenberger and X. Zhang, "A Nonsingular Cosmology with a Scale-Invariant Spectrum of Cosmological Perturbations from Lee-Wick Theory", arXiv:0810.4677 [hep-th].
31. X. Gao, Y. Wang, W. Xue and R. Brandenberger, "Fluctuations in a Hörava-Lifshitz Bouncing Cosmology", arXiv:0911.3196 [hep-th]
32. X. Gao, Y. Wang, R. Brandenberger and A. Riotto, "Cosmological Perturbations in Hořava-Lifshitz Gravity", arXiv:0905.3821 [hep-th].
33. Y. F. Cai, W. Xue, R. Brandenberger and X. m. Zhang, "Thermal Fluctuations and Bouncing Cosmologies", JCAP 0906, 037 (2009) [arXiv:0903.4938 [hep-th]].
34. R. H. Brandenberger and C. Vafa, "Superstrings in the Early Universe", Nucl. Phys. B 316, 391 (1989).
35. J. Kripfganz and H. Perlt, "Cosmological Impact Of Winding Strings", Class. Quant. Grav. 5, 453 (1988).
36. R. Hagedorn, "Statistical Thermodynamics Of Strong Interactions At High-Energies", Nuovo Cim. Suppl. 3, 147 (1965).
37. A. Nayeri, R. H. Brandenberger and C. Vafa, "Producing a scale-invariant spectrum of perturbations in a Hagedorn phase of string cosmology", Phys. Rev. Lett. 97, 021302 (2006) [arXiv:hep-th/0511140].
38. R. H. Brandenberger, "Processing of Cosmological Perturbations in a Cyclic Cosmology", Phys. Rev. D 80, 023535 (2009) [arXiv:0905.1514 [hep-th]].
39. R. H. Brandenberger, "Lectures on the theory of cosmological perturbations", Lect. Notes Phys. 646, 127 (2004) [arXiv:hep-th/0306071].
40. V. F. Mukhanov, H. A. Feldman and R. H. Brandenberger, "Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions", Phys. Rept. 215, 203 (1992).
41. R. K. Sachs and A. M. Wolfe, "Perturbations of a cosmological model and angular variations of the microwave background", Astrophys. J. 147, 73 (1967)
42. [Gen. Rel. Grav. 39, 1929 (2007)].
43. E. R. Harrison, "Fluctuations at the threshold of classical cosmology", Phys. Rev. D 1, 2726 (1970).
44. Y. B. Zeldovich, "A Hypothesis, unifying the structure and the entropy of the universe", Mon. Not. Roy. Astron. Soc. 160, 1P (1972).
45. N. Afshordi and R. H. Brandenberger, "Super-Hubble nonlinear perturbations during inflation", Phys. Rev. D 63, 123505 (2001) [arXiv:gr-qc/0011075].
46. E. Lifshitz, "On the Gravitational stability of the expanding universe", J. Phys. (USSR) 10, 116 (1946);
47. E. M. Lifshitz and I. M. Khalatnikov, "Investigations in relativistic cosmology", Adv. Phys. 12, 185 (1963).
48. J. M. Bardeen, "Gauge Invariant Cosmological Perturbations", Phys. Rev. D 22, 1882 (1980).
49. W. H. Press and E. T. Vishniac, "Tenacious myths about cosmological perturbations larger than the horizon size", Astrophys. J. 239, 1 (1980).
50. R. H. Brandenberger, R. Kahn and W. H. Press, "Cosmological Perturbations In The Early Universe", Phys. Rev. D 28, 1809 (1983).
51. H. Kodama and M. Sasaki, "Cosmological Perturbation Theory", Prog. Theor. Phys. Suppl. 78, 1 (1984).
52. M. Bruni, G. F. R. Ellis and P. K. S. Dunsby, "Gauge invariant perturbations in a scalar field dominated universe", Class. Quant. Grav. 9, 921 (1992).
53. J. c. Hwang, "Evolution of ideal fluid cosmological perturbations", Astrophys. J. 415, 486 (1993).
54. R. Durrer, "Anisotropies in the cosmic microwave background: Theoretical foundations", Helv. Phys. Acta 69, 417 (1996) [arXiv:astro-ph/9610234].
55. J. M. Stewart, "Perturbations of Friedmann-Robertson-Walker cosmological models", Class. Quant. Grav. 7, 1169 (1990).
56. N. Turok, U. L. Pen and U. Seljak, "The scalar, vector and tensor contributions to CMB anisotropies from cosmic defects", Phys. Rev. D 58, 023506 (1998) [arXiv:astro-ph/9706250].
57. T. J. Battefeld and R. Brandenberger, "Vector perturbations in a contracting universe", Phys. Rev. D 70, 121302 (2004) [arXiv:hep-th/0406180].
58. J. M. Stewart and M. Walker, "Perturbations Of Spacetimes In General Relativity", Proc. Roy. Soc. Lond. A 341, 49 (1974).
59. J. M. Bardeen, P. J. Steinhardt and M. S. Turner, "Spontaneous Creation Of Almost Scale - Free Density Perturbations In An Inflationary Universe", Phys. Rev. D 28, 679 (1983).
60. R. H. Brandenberger and R. Kahn, "Cosmological Perturbations In Inflationary Universe Models", Phys. Rev. D 29, 2172 (1984).
61. D. H. Lyth, "Large Scale Energy Density Perturbations And Inflation", Phys. Rev. D 31, 1792 (1985).
62. F. Finelli and R. H. Brandenberger, "Parametric amplification of gravitational fluctuations during reheating", Phys. Rev. Lett. 82, 1362 (1999) [arXiv:hep-ph/9809490].
63. S. Weinberg, "Adiabatic modes in cosmology", Phys. Rev. D 67, 123504 (2003) [arXiv:astro-ph/0302326].
64. W. B. Lin, X. H. Meng and X. M. Zhang, "Adiabatic gravitational perturbation during reheating", Phys. Rev. D 61, 121301 (2000) [arXiv:hep-ph/9912510].
65. B. A. Bassett and F. Viniegra, "Massless metric preheating", Phys. Rev. D 62, 043507 (2000) [arXiv:hep-ph/9909353].
66. F. Finelli and R. H. Brandenberger, "Parametric amplification of metric fluctuations during reheating in two field models", Phys. Rev. D 62, 083502 (2000) [arXiv:hep-ph/0003172].
67. J. H. Traschen, "Constraints On Stress Energy Perturbations In General Relativity", Phys. Rev. D 31, 283 (1985).
68. J. H. Traschen, N. Turok and R. H. Brandenberger, "Microwave Anisotropies from Cosmic Strings", Phys. Rev. D 34, 919 (1986).
69. G. Dvali, A. Gruzinov and M. Zaldarriaga, "Cosmological perturbations from inhomogeneous reheating, freezeout, and mass domination", Phys. Rev. D 69, 083505 (2004) [arXiv:astro-ph/0305548].
70. L. Kofman, "Probing string theory with modulated cosmological fluctuations", arXiv:astro-ph/0303614.
71. F. Vernizzi, "Cosmological perturbations from varying masses and couplings", Phys. Rev. D 69, 083526 (2004) [arXiv:astro-ph/0311167].
72. M. Axenides, R. H. Brandenberger and M. S. Turner, "Development Of Axion Perturbations In An Axion Dominated Universe", Phys. Lett. B 126, 178 (1983).
73. V. F. Mukhanov, "Quantum Theory of Gauge Invariant Cosmological Perturbations", Sov. Phys. JETP 67, 1297 (1988)
74. [Zh. Eksp. Teor. Fiz. 94 N7, 1 (1988)].
75. V. F. Mukhanov, "Gravitational Instability Of The Universe Filled With A Scalar Field", JETP Lett. 41, 493 (1985)
76. [Pisma Zh. Eksp. Teor. Fiz. 41, 402 (1985)].
77. M. Sasaki, "Large Scale Quantum Fluctuations in the Inflationary Universe", Prog. Theor. Phys. 76, 1036 (1986).
78. V. N. Lukash, "Production of phonons in an isotropic universe", Sov. Phys. JETP 52, 807 (1980)
79. [Zh. Eksp. Teor. Fiz. 79, (19)].
80. N. D. Birrell and P. C. W. Davies, "Quantum Fields In Curved Space", Cambridge, Uk: Univ. Pr. (1982) 340p
81. C. Kiefer, I. Lohmar, D. Polarski and A. A. Starobinsky, "Pointer states for primordial fluctuations in inflationary cosmology", Class. Quant. Grav. 24, 1699 (2007) [arXiv:astro-ph/0610700].
82. P. Martineau, "On the decoherence of primordial fluctuations during inflation", Class. Quant. Grav. 24, 5817 (2007) [arXiv:astro-ph/0601134].
83. L. P. Grishchuk, "Amplification Of Gravitational Waves In An Istropic Universe", Sov. Phys. JETP 40, 409 (1975)
84. [Zh. Eksp. Teor. Fiz. 67, 825 (1974)].
85. E. Silverstein and D. Tong, "Scalar Speed Limits and Cosmology: Acceleration from D-cceleration", Phys. Rev. D 70, 103505 (2004) [arXiv:hep-th/0310221].
86. C. Armendariz-Picon, T. Damour and V. F. Mukhanov, "k-Inflation", Phys. Lett. B 458, 209 (1999) [arXiv:hep-th/9904075].
87. R. H. Brandenberger and J. H. Kung, "Chaotic Inflation As An Attractor In Initial Condition Space", Phys. Rev. D 42, 1008 (1990).
88. S. R. Coleman, "The Fate Of The False Vacuum. 1. Semiclassical Theory", Phys. Rev. D 15, 2929 (1977)
89. [Erratum-ibid. D 16, 1248 (1977)].
90. R. H. Brandenberger, "Quantum Field Theory Methods And Inflationary Universe Models", Rev. Mod. Phys. 57, 1 (1985).
91. A. Linde, "A New Inflationary Universe Scenario: A Possible Solution Of The Horizon, Flatness, Homogeneity, Isotropy And Primordial Monopole Problems", Phys. Lett. B 108, 389 (1982);
92. A. Albrecht and P. Steinhardt, "Cosmology For Grand Unified Theories With Radiatively Induced Symmetry Breaking", Phys. Rev. Lett. 48, 1220 (1982).
93. S. Coleman and E. Weinberg, "Radiative Corrections As The Origin Of Spontaneous Symmetry Breaking", Phys. Rev. D 7, 1888 (1973).
94. D. Goldwirth and T. Piran, "Initial conditions for inflation", Phys. Rept. 214, 223 (1992);
95. A. Albrecht and R. Brandenberger, "On The Realization Of New Inflation", Phys. Rev. D 31, 1225 (1985).
96. R. Brandenberger, G. Geshnizjani and S. Watson, "On the initial conditions for brane inflation", Phys. Rev. D 67, 123510 (2003) [arXiv:hep-th/0302222].
97. G. F. Mazenko, R. M. Wald and W. G. Unruh, "Does A Phase Transition In The Early Universe Produce The Conditions Needed For Inflation?", Phys. Rev. D 31, 273 (1985).
98. A. Linde, "Chaotic Inflation", Phys. Lett. B 129, 177 (1983).
99. H. Feldman and R. Brandenberger, "Chaotic Inflation With Metric And Matter Perturbations", Phys. Lett. B 227, 359 (1989).
100. A. Linde, "Hybrid inflation", Phys. Rev. D 49, 748 (1994).
101. A. Vilenkin and E. P. S. Shellard, Cosmic Strings and other Topological Defects (Cambridge Univ. Press, Cambridge, 1994).
102. M. B. Hindmarsh and T. W. B. Kibble, "Cosmic strings", Rept. Prog. Phys. 58, 477 (1995) [arXiv:hep-ph/9411342].
103. R. H. Brandenberger, "Topological defects and structure formation", Int. J. Mod. Phys. A 9, 2117 (1994) [arXiv:astro-ph/9310041].
104. R. Allahverdi, R. Brandenberger, F. Y. Cyr-Racine and A. Mazumdar, "Reheating in Inflationary Cosmology: Theory and Applications", Ann. Rev. Nucl. Part. Science 60, 27 (2010) [arXiv:1001.2600 [hep-th]].
105. L. F. Abbott, E. Farhi and M. Wise, "Particle Production In The New Inflationary Cosmology", Phys. Lett. B 117, 29 (1982);
106. A. Dolgov and A. Linde, "Baryon Asymmetry In Inflationary Universe", Phys. Lett. B 116, 329 (1982);
107. A. Albrecht, P. J. Steinhardt, M. S. Turner and F. Wilczek, "Reheating An Inflationary Universe", Phys. Rev. Lett. 48, 1437 (1982).
108. J. Traschen and R. Brandenberger, "Particle Production During Out-Of-Equilibrium Phase Transitions", Phys. Rev. D 42, 2491 (1990).
109. L. Kofman, A. Linde and A. Starobinsky, "Reheating after inflation", Phys. Rev. Lett. 73, 3195 (1994).
110. Y. Shtanov, J. Traschen and R. Brandenberger, "Universe reheating after inflation", Phys. Rev. D 51, 5438 (1995);
111. Shtanov, Y., Ukr. Fiz. Zh. 38, 1425 (1993).
112. L. Kofman, A. Linde and A. Starobinsky, "Towards the theory of reheating after inflation", Phys. Rev. D 56, 3258 (1997).
113. M. Gleiser and R. Ramos, "Microphysical approach to nonequilibrium dynamics of quantum fields", Phys. Rev. D 50, 2441 (1994).
114. A. Dolgov and D. Kirilova, "Production of particles by a variable scalar field", Sov. J. Nucl. Phys. 51, 172 (1990)
115. [Yad. Fiz. 51, 273 (1990)].
116. N. W. McLachlan, "Theory and Applications of Mathieu Functions" (Oxford Univ. Press, Clarendon, 1947).
117. B. Bassett, D. Kaiser and R. Maartens, "General relativistic preheating after inflation", Phys. Lett. B 455, 84 (1999).
118. C. Gordon, D. Wands, B. A. Bassett and R. Maartens, "Adiabatic and entropy perturbations from inflation", Phys. Rev. D 63, 023506 (2001) [arXiv:astro-ph/0009131].
119. R. Brandenberger, A. Frey and L. Lorenz, "Entropy Fluctuations in Brane Inflation Models", Int. J. Mod. Phys. A 24, 4327 (2009).
120. R. Brandenberger, K. Dasgupta and A.-C. Davis, "A Study of Structure Formation and Reheating in the D3/D7 Brane Inflation Model", Phys. Rev. D 78, 083502 (2008).
121. L. P. Levasseur, G. Laporte and R. Brandenberger, "Analytical Study of Mode Coupling in Hybrid Inflation", Phys. Rev. D 82, 123524 (2010). arXiv:1004.1425 [hep-th].
122. F.-Y. Cyr-Racine and R. Brandenberger, "Study of the Growth of Entropy Modes in MSSM Flat Directions Decay: Constraints on the Parameter Space", JCAP 0902, 022 (2009).
123. F. L. Bezrukov and M. Shaposhnikov, "The Standard Model Higgs boson as the inflaton", Phys. Lett. B 659, 703 (2008) [arXiv:0710.3755 [hep-th]].
124. F. C. Adams, K. Freese and A. H. Guth, "Constraints on the scalar field potential in inflationary models", Phys. Rev. D 43, 965 (1991).
125. R. H. Brandenberger, "Inflationary cosmology: Progress and problems", arXiv:hep-ph/9910410.
126. R. H. Brandenberger and J. Martin, "The Robustness of inflation to changes in superPlanck scale physics", Mod. Phys. Lett. A 16, 999(2001), [arXiv:astro-ph/0005432];
127. J. Martin and R. H. Brandenberger, "The TransPlanckian problem of inflationary cosmology", Phys. Rev. D 63, 123501(2001), [arXiv:hep-th/0005209].
128. J. C. Niemeyer, "Inflation with a high frequency cutoff", Phys. Rev. D 63, 123502(2001), [arXiv:astro-ph/0005533];
129. J. C. Niemeyer and R. Parentani, "Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff", Phys. Rev. D 64, 101301(2001), [arXiv:astro-ph/0101451];
130. S. Shankaranarayanan, "Is there an imprint of Planck scale physics on inflationary cosmology?", Class. Quant. Grav. 20, 75 (2003) [arXiv:gr-qc/0203060].
131. W. G. Unruh, "Sonic Analog Of Black Holes And The Effects Of High Frequencies On Black Hole Evaporation", Phys. Rev. D 51, 2827 (1995).
132. S. Corley and T. Jacobson, "Hawking Spectrum and High Frequency Dispersion", Phys. Rev. D 54, 1568 (1996) [arXiv:hep-th/9601073].
133. R. H. Brandenberger and J. Martin, "Back-reaction and the trans-Planckian problem of inflation revisited", Phys. Rev. D 71, 023504 (2005) [arXiv:hep-th/0410223].
134. T. Tanaka, "A comment on trans-Planckian physics in inflationary universe", arXiv:astro-ph/0012431.
135. A. A. Starobinsky, "Robustness of the inflationary perturbation spectrum to trans-Planckian physics", Pisma Zh. Eksp. Teor. Fiz. 73, 415 (2001)
136. [JETP Lett. 73, 371 (2001)], [arXiv:astro-ph/0104043].
137. S. W. Hawking and G. F. R. Ellis, "The Large scale structure of space-time", Cambridge University Press, Cambridge, 1973
138. A. Borde and A. Vilenkin, "Eternal inflation and the initial singularity", Phys. Rev. Lett. 72, 3305 (1994) [arXiv:gr-qc/9312022].
139. R. H. Brandenberger, "Back reaction of cosmological perturbations and the cosmological constant problem", arXiv:hep-th/0210165.
140. M. Gasperini and G. Veneziano, "Pre - big bang in string cosmology", Astropart. Phys. 1, 317 (1993) [arXiv:hep-th/9211021].
141. J. Khoury, B. A. Ovrut, P. J. Steinhardt and N. Turok, "The ekpyrotic universe: Colliding branes and the origin of the hot big bang", Phys. Rev. D 64, 123522 (2001) [arXiv:hep-th/0103239].
142. J. M. Cline, S. Jeon and G. D. Moore, "The phantom menaced: Constraints on low-energy effective ghosts", Phys. Rev. D 70, 043543 (2004) [arXiv:hep-ph/0311312].
143. B. Feng, X. L. Wang and X. M. Zhang, "Dark Energy Constraints from the Cosmic Age and Supernova", Phys. Lett. B 607, 35 (2005) [arXiv:astro-ph/0404224];
144. B. Feng, M. Li, Y. S. Piao and X. Zhang, "Oscillating quintom and the recurrent universe", Phys. Lett. B 634, 101 (2006) [arXiv:astro-ph/0407432].
145. B. Grinstein, D. O'Connell and M. B. Wise, "The Lee-Wick standard model", Phys. Rev. D 77, 025012 (2008) [arXiv:0704.1845 [hep-ph]].
146. J. Karouby and R. Brandenberger, "A Radiation Bounce from the Lee-Wick Construction?", Phys. Rev. D 82, 063532 (2010) [arXiv:1004.4947 [hep-th]].
147. C. Lin, R. H. Brandenberger and L. P. Levasseur, "A Matter Bounce By Means of Ghost Condensation", arXiv:1007.2654 [hep-th].
148. N. Arkani-Hamed, H. C. Cheng, M. A. Luty and S. Mukohyama, "Ghost condensation and a consistent infrared modification of gravity", JHEP 0405, 074 (2004) [arXiv:hep-th/0312099].
149. A. Kehagias and E. Kiritsis, "Mirage cosmology", JHEP 9911, 022 (1999) [arXiv:hep-th/9910174].
150. J. c. Hwang and E. T. Vishniac, "Gauge-invariant joining conditions for cosmological perturbations", Astrophys. J. 382, 363 (1991).
151. N. Deruelle and V. F. Mukhanov, "On matching conditions for cosmological perturbations", Phys. Rev. D 52, 5549 (1995) [arXiv:gr-qc/9503050].
152. R. Durrer and F. Vernizzi, "Adiabatic perturbations in pre big bang models: Matching conditions and scale invariance", Phys. Rev. D 66, 083503 (2002) [arXiv:hep-ph/0203275].
153. Y. Cai, R. Brandenberger and X. Zhang, "The Matter Bounce Curvaton Scenario", arXiv:1101.0822 [hep-th].
154. A. Cerioni and R. H. Brandenberger, "Cosmological Perturbations in the Projectable Version of Horava-Lifshitz Gravity", arXiv:1007.1006 [hep-th].
155. A. Cerioni and R. H. Brandenberger, "Cosmological Perturbations in the 'Healthy Extension" of Horava-Lifshitz gravity", arXiv:1008.3589 [hep-th].
156. Y. F. Cai, W. Xue, R. Brandenberger and X. Zhang, "Non-Gaussianity in a Matter Bounce", JCAP 0905, 011 (2009) [arXiv:0903.0631 [astro-ph. CO]].
157. X. Chen, "Primordial Non-Gaussianities from Inflation Models", arXiv:1002.1416 [astro-ph. CO].
158. J. M. Maldacena, "Non-Gaussian features of primordial fluctuations in single field inflationary models", JHEP 0305, 013 (2003) [arXiv:astro-ph/0210603].
159. H. Li, J. Q. Xia, R. Brandenberger and X. Zhang, "Constraints on Models with a Break in the Primordial Power Spectrum", arXiv:0903.3725 [astro-ph. CO].
160. N. Kaloper, A. D. Linde and R. Bousso, "Pre-big-bang requires the universe to be exponentially large from the very beginning", Phys. Rev. D 59, 043508 (1999) [arXiv:hep-th/9801073].
161. G. F. R. Ellis and R. Maartens, "The emergent universe: Inflationary cosmology with no singularity", Class. Quant. Grav. 21, 223 (2004) [arXiv:gr-qc/0211082].
162. J. M. Maldacena, "The large N limit of superconformal field theories and supergravity", Adv. Theor. Math. Phys. 2, 231 (1998)
163. [Int. J. Theor. Phys. 38, 1113 (1999)] [arXiv:hep-th/9711200].
164. R. H. Brandenberger, "Challenges for string gas cosmology", arXiv:hep-th/0509099.
165. T. Battefeld and S. Watson, "String gas cosmology", Rev. Mod. Phys. 78, 435 (2006) [arXiv:hep-th/0510022].
166. S. Alexander, R. H. Brandenberger and D. Easson, "Brane gases in the early universe", Phys. Rev. D 62, 103509 (2000) [arXiv:hep-th/0005212].
167. J. Polchinski, String Theory, Vols. 1 and 2, (Cambridge Univ. Press, Cambridge, 1998).
168. T. Boehm and R. Brandenberger, "On T-duality in brane gas cosmology", JCAP 0306, 008 (2003) [arXiv:hep-th/0208188].
169. K. Hotta, K. Kikkawa and H. Kunitomo, "Correlation between momentum modes and winding modes in Brandenberger-Vafa's string cosmological model", Prog. Theor. Phys. 98, 687 (1997) [arXiv:hep-th/9705099].
170. M. A. R. Osorio and M. A. Vazquez-Mozo, "A Cosmological Interpretation Of Duality", Phys. Lett. B 320, 259 (1994) [arXiv:hep-th/9311080].
171. A. A. Tseytlin and C. Vafa, "Elements of string cosmology", Nucl. Phys. B 372, 443 (1992) [arXiv:hep-th/9109048].
172. G. Veneziano, "Scale factor duality for classical and quantum strings", Phys. Lett. B 265, 287 (1991).
173. A. A. Tseytlin, "Dilaton, winding modes and cosmological solutions", Class. Quant. Grav. 9, 979 (1992) [arXiv:hep-th/9112004].
174. R. H. Brandenberger, A. R. Frey and S. Kanno, "Towards A Nonsingular Tachyonic Big Crunch", Phys. Rev. D 76, 063502 (2007) [arXiv:0705.3265 [hep-th]].
175. S. Arapoglu, A. Karakci and A. Kaya, "S-duality in string gas cosmology", Phys. Lett. B 645, 255 (2007) [arXiv:hep-th/0611193].
176. M. Sakellariadou, "Numerical Experiments in String Cosmology", Nucl. Phys. B 468, 319 (1996) [arXiv:hep-th/9511075].
177. G. B. Cleaver and P. J. Rosenthal, "String cosmology and the dimension of space-time", Nucl. Phys. B 457, 621 (1995) [arXiv:hep-th/9402088].
178. R. Brandenberger, D. A. Easson and D. Kimberly, "Loitering phase in brane gas cosmology", Nucl. Phys. B 623, 421 (2002) [arXiv:hep-th/0109165].
179. R. Easther, B. R. Greene, M. G. Jackson and D. Kabat, "String windings in the early universe", JCAP 0502, 009 (2005) [arXiv:hep-th/0409121].
180. R. Danos, A. R. Frey and A. Mazumdar, "Interaction rates in string gas cosmology", Phys. Rev. D 70, 106010 (2004) [arXiv:hep-th/0409162].
181. B. Greene, D. Kabat and S. Marnerides, "Dynamical Decompactification and Three Large Dimensions", arXiv:0908.0955 [hep-th].
182. S. Watson and R. H. Brandenberger, "Isotropization in brane gas cosmology", Phys. Rev. D 67, 043510 (2003) [arXiv:hep-th/0207168].
183. S. Watson and R. Brandenberger, "Stabilization of extra dimensions at tree level", JCAP 0311, 008 (2003) [arXiv:hep-th/0307044].
184. S. P. Patil and R. Brandenberger, "Radion stabilization by stringy effects in general relativity and dilaton gravity", Phys. Rev. D 71, 103522 (2005) [arXiv:hep-th/0401037].
185. S. P. Patil and R. H. Brandenberger, "The cosmology of massless string modes", JCAP 0601, 005 (2006) [arXiv:hep-th/0502069].
186. S. Watson, "Moduli stabilization with the string Higgs effect", Phys. Rev. D 70, 066005 (2004) [arXiv:hep-th/0404177].
187. L. Kofman, A. Linde, X. Liu, A. Maloney, L. McAllister and E. Silverstein, "Beauty is attractive: Moduli trapping at enhanced symmetry points", JHEP 0405, 030 (2004) [arXiv:hep-th/0403001].
188. R. H. Brandenberger, "Moduli stabilization in string gas cosmology", Prog. Theor. Phys. Suppl. 163, 358 (2006) [arXiv:hep-th/0509159].
189. R. Brandenberger, Y. K. Cheung and S. Watson, "Moduli stabilization with string gases and fluxes", JHEP 0605, 025 (2006) [arXiv:hep-th/0501032].
190. R. J. Danos, A. R. Frey and R. H. Brandenberger, "Stabilizing moduli with thermal matter and nonperturbative effects", Phys. Rev. D 77, 126009 (2008) [arXiv:0802.1557 [hep-th]].
191. R. H. Brandenberger, A. Nayeri, S. P. Patil and C. Vafa, "String gas cosmology and structure formation", Int. J. Mod. Phys. A 22, 3621 (2007) [arXiv:hep-th/0608121].
192. R. H. Brandenberger, A. Nayeri, S. P. Patil and C. Vafa, "Tensor modes from a primordial Hagedorn phase of string cosmology", Phys. Rev. Lett. 98, 231302 (2007) [arXiv:hep-th/0604126].
193. R. H. Brandenberger et al., "More on the spectrum of perturbations in string gas cosmology", JCAP 0611, 009 (2006) [arXiv:hep-th/0608186].
194. N. Kaloper, L. Kofman, A. Linde and V. Mukhanov, "On the new string theory inspired mechanism of generation of cosmological perturbations", JCAP 0610, 006 (2006) [arXiv:hep-th/0608200].
195. N. Deo, S. Jain, O. Narayan and C. I. Tan, "The Effect of topology on the thermodynamic limit for a string gas", Phys. Rev. D 45, 3641 (1992).
196. A. Nayeri, "Inflation free, stringy generation of scale-invariant cosmological fluctuations in D = 3 + 1 dimensions", arXiv:hep-th/0607073.
197. B. Chen, Y. Wang, W. Xue and R. Brandenberger, "String Gas Cosmology and Non-Gaussianities", arXiv:0712.2477 [hep-th].
198. E. Witten, "Cosmic Superstrings", Phys. Lett. B 153, 243 (1985).
199. N. Kaiser and A. Stebbins, "Microwave Anisotropy Due To Cosmic Strings", Nature 310, 391 (1984).
200. S. Amsel, J. Berger and R. H. Brandenberger, "Detecting Cosmic Strings in the CMB with the Canny Algorithm", JCAP 0804, 015 (2008) [arXiv:0709.0982 [astro-ph]];
201. A. Stewart and R. Brandenberger, "Edge Detection, Cosmic Strings and the South Pole Telescope", arXiv:0809.0865 [astro-ph];
202. R. J. Danos and R. H. Brandenberger, "Canny Algorithm, Cosmic Strings and the Cosmic Microwave Background", arXiv:0811.2004 [astro-ph];
203. R. J. Danos and R. H. Brandenberger, "Searching for Signatures of Cosmic Superstrings in the CMB", arXiv:0910.5722 [astro-ph. CO].
204. N. Kaloper and S. Watson, "Geometric Precipices in String Cosmology", Phys. Rev. D 77, 066002 (2008) [arXiv:0712.1820 [hep-th]].
205. T. Biswas, R. Brandenberger, A. Mazumdar and W. Siegel, "Non-perturbative gravity, Hagedorn bounce and CMB", JCAP 0712, 011 (2007) [arXiv:hep-th/0610274].
206. R. A. Sunyaev, Y.. B. Zeldovich, "Small scale fluctuations of relic radiation", Astrophys. Space Sci. 7, 3-19 (1970).
207. P. J. E. Peebles, J. T. Yu, "Primeval adiabatic perturbation in an expanding universe", Astrophys. J. 162, 815-836 (1970).