Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 7, 2009, Pages

  Wang, Anzhong ^a   Wu, Yumei ^a  

^a BAYLOR UNIVERSITY   (United States)

Author keywords

Alternatives to inflation; Cosmic singularity; Cosmology of theories beyond the SM; Modified gravity

Indexed keywords

EID: 70049117600     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/07/012     Document Type: Article

References (102)

1. P. Hoava, 2009 Membranes at quantum criticality J. High Energy Phys. JHEP03(2009)020 [0812.4287]
2. P. Hoava, 2009 Quantum gravity at a Lifshitz point, Phys. Rev. D 79 084008 [0901.3775]
3. P. Hoava, 2009 Spectral dimension of the universe in quantum gravity at a Lifshitz point, Phys. Rev. Lett. 102 161301 [0902.3657]
4. E.M. Lifshitz, 1941 On the theory of second-order phase transitions I, II Zh. Eksp. Teor. Fiz. 11 255
5. T. Takahashi and J. Soda, Chiral primordial gravitational waves from a Lifshitz point, [0904.0554]
6. S. Mukohyama, 2009 Scale-invariant cosmological perturbations from Hoava-Lifshitz gravity without inflation J. Cosmol. Astropart. Phys. JCAP06(2009)001 [0904.2190]
7. X. Gao, Cosmological perturbations and non-Gaussianities in Hoava-Lifshitz gravity, [0904.4187]
8. R.-G. Cai, B. Hu and H.-B. Zhang, Dynamical scalar degree of freedom in Hoava-Lifshitz gravity, [0905.0255]
9. A. Kehagias and K. Sfetsos, The black hole and FRW geometries of non-relativistic gravity, [0905.0477]
10. S. Kalyana Rama, Anisotropic cosmology and (super)stiff matter in Hoava's gravity theory, [0905.0700]
11. B. Chen, S. Pi and J.-Z. Tang, Scale invariant power spectrum in Hoava-Lifshitz cosmology without matter, [0905.2300]
12. E.N. Saridakis, Hoava-Lifshitz dark energy, [0905.3532]
13. S. Mukohyama, Dark matter as integration constant in Hoava-Lifshitz gravity, [0905.3563]
14. X. Gao, Y. Wang, R. Brandenberger and A. Riotto, Cosmological perturbations in Hoava-Lifshitz gravity, [0905.3821]
15. M. Minamitsuji, Classification of cosmology with arbitrary matter in the Hoava-Lifshitz theory, [0905.3892]
16. S. Mukohyama, K. Nakayama, F. Takahashi and S. Yokoyama, Phenomenological aspects of Hoava-Lifshitz cosmology, [0905.0055]
17. U.H. Danielsson and L. Thorlacius, 2009 Black holes in asymptotically Lifshitz spacetime J. High Energy Phys. JHEP03(2009)070 [0812.5088]
18. R.-G. Cai, L.-M. Cao and N. Ohta, Topological black holes in Hoava-Lifshitz gravity, [0904.3670]
19. R.-G. Cai, Y. Liu and Y.-W. Sun, 2009 On the z=4 Hoava-Lifshitz gravity J. High Energy Phys. JHEP06(2009)010 [0904.4104]
20. Y.S. Myung and Y.-W. Kim, Thermodynamics of Hoava-Lifshitz black holes, [0905.0179]
21. R.-G. Cai, L.-M. Cao and N. Ohta, Thermodynamics of black holes in Hoava-Lifshitz gravity, [0905.0751]
22. Y.S. Myung, Thermodynamics of black holes in the deformed Hoava-Lifshitz gravity, [0905.0957]
23. R.B. Mann, Lifshitz Topological Black Holes, [0905.1136]
24. S. Chen and J. Jing, Quasinormal modes of a black hole in the deformed Horava-Lifshitz gravity, [0905.1409]
25. R.A. Konoplya, Towards constraining of the Hoava-Lifshitz gravities, [0905.1523]
26. S. Chen and J. Jing, Strong field gravitational lensing in the deformed Horava-Lifshitz black hole, [0905.2055]
27. D.-W. Pang, A Note on black holes in asymptotically Lifshitz spacetime, [0905.2678]
28. G. Bertoldi, B.A. Burrington and A. Peet, Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent, [0905.3183]
29. M. Visser, Lorentz symmetry breaking as a quantum field theory regulator, [0902.0590]
30. L. Maccione, A.M. Taylor, D.M. Mattingly and S. Liberati, 2009 Planck-scale Lorentz violation constrained by ultra-high-energy cosmic rays J. Cosmol. Astropart. Phys. JCAP04(2009)022 [0902.1756]
31. P.R.S. Carvalho and M.M. Leite, Callan-Symanzik-Lifshitz approach to generic competing systems, [0902.1972]
32. A. Volovich and C. Wen, 2009 Correlation functions in non-relativistic holography J. High Energy Phys. JHEP05(2009)087 [0903.2455]
33. A. Jenkins, Constraints on emergent gravity, [0904.0453]
34. J. Kluson, Branes at quantum criticality, [0904.1343]
35. H. Nikolic, Hoava-Lifshitz gravity, absolute time and objective particles in curved space, [0904.3412]
36. H. Nastase, On IR solutions in Hoava gravity theories, [0904.3604]
37. G.E. Volovik, z=3 Lifshitz-Hoava model and Fermi-point scenario of emergent gravity, [0904.4113]
38. E.O. Colgain and H. Yavartanoo, Dyonic solution of Hoava-Lifshitz Gravity, [0904.4357]
39. B. Chen and Q.-G. Huang, Field theory at a Lifshitz point, [0904.4565]
40. D. Orlando and S. Reffert, On the renormalizability of Hoava-Lifshitz-type gravities, [0905.0301]
41. C. Gao, Modified gravity in Arnowitt-Deser-Misner formalism, [0905.0310]
42. T. Nishioka, Hoava-Lifshitz holography, [0905.0473]
43. A. Ghodsi, Toroidal solutions in Hoava gravity, [0905.0836]
44. J.B. Jimenez and A.L. Maroto, Cosmological evolution in vector-tensor theories of gravity, [0905.1245]
45. J. Kluson, Stable and unstable D-branes at criticality, [0905.1483]
46. J. Chen and Y. Wang, Timelike geodesic motion in Hoava-Lifshitz spacetime, [0905.2786]
47. Y.-W. Kim, H.W. Lee and Y.S. Myung, Nonpropagation of scalar in the deformed Hoava-Lifshitz gravity, [0905.3423]
48. H. Lü, J. Mei and C.N. Pope, Solutions to Hoava gravity, [0904.1595]
49. E. Kiritsis and G. Kofinas, Hoava-Lifshitz cosmology, [0904.1334]
50. G. Calcagni, Cosmology of the Lifshitz universe, [0904.0829]
51. G. Calcagni, Detailed balance in Hoava-Lifshitz gravity [0905.3740]
52. G.C.R. Brandenberger, Matter bounce in Hoava-Lifshitz cosmology, [0904.2835]
53. S. Mukohyama, 2009 Scale-invariant cosmological perturbations from Hoava-Lifshitz gravity without inflation J. Cosmol. Astropart. Phys. JCAP06(2009)001 [0904.2190]
54. Y.-S. Piao, Primordial perturbation in Hoava-Lifshitz cosmology, [0904.4117]
55. B. Chen, S. Pi and J.-Z. Tang, Scale invariant power spectrum in Hoava-Lifshitz cosmology without matter, [0905.2300]
56. C. Charmousis, G. Niz, A. Padilla and P.M. Saffin, Strong coupling in Hoava gravity, [0905.2579]
57. M. Li and Y. Pang, A trouble with Hoava-Lifshitz gravity, [0905.2751]
58. S. Mukohyama, Dark matter as integration constant in Hoava-Lifshitz gravity, [0905.3563]
59. A.A. Kocharyan, Is nonrelativistic gravity possible?, [0905.4204]
60. T.P. Sotiriou, M. Visser and S. Weinfurtner, Phenomenologically viable Lorentz-violating quantum gravity, [0904.4464]
61. T.P. Sotiriou, M. Visser and S. Weinfurtner, Quantum gravity without Lorentz invariance [0905.2798]
62. T. Chiba, R. Takahashi and N. Sugiyama, 2005 Classifying the future of universes with dark energy, Class. Quant. Grav. 22 3745 [astro-ph/0501661]
63. M. Szydlowski and O. Hrycyna, 2008 Paths of FRW brane models, J. Math. Phys. 49 072703 [gr-qc/0612172] and references therein
64. T. Ha et al., Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state p = wρ, [0905.0396] and references therein
65. V.A. Rubakov, 2001 Large and infinite extra dimensions: An introduction Phys. Usp. 44 871 [hep-ph/0104152]
66. V.A. Rubakov, 2001 Usp. Fiz. Nauk 171 913
67. S. Förste, 2002 Strings, branes and extra dimensions Fortsch. Phys. 50 221 [hep-th/0110055]
68. C.P. Burgess, J.M. Cline, N.R. Constable and H. Firouzjahi, 2002 Dynamical stability of six-dimensional warped brane-worlds J. High Energy Phys. JHEP01(2002)014 [hep-th/0112047]
69. E. Papantonopoulos, 2002 Brane cosmology, Lect. Notes Phys. 592 458 [hep-th/0202044]
70. R. Maartens, 2004 Brane-world gravity Living Rev. Rel. 7 7 [gr-qc/0312059]
71. P. Brax, C. van de Bruck and A.-C. Davis, 2004 Brane world cosmology, Rept. Prog. Phys. 67 2183 [hep-th/0404011]
72. U. Günther and A. Zhuk, Phenomenology of brane-world cosmological models, [gr-qc/0410130]
73. P. Brax, C. van de Bruck and A.-C. Davis, 2004 Brane world cosmology, Rept. Prog. Phys. 67 2183 [hep-th/0404011]
74. V. Sahni, Cosmological surprises from braneworld models of dark energy, [astro-ph/0502032]
75. R. Durrer, 2005 Braneworlds, AIP Conf. Proc. 782 202 [hep-th/0507006]
76. D. Langlois, 2006 Is our universe brany?, Prog. Theor. Phys. Suppl. 163 258 [hep-th/0509231]
77. A. Lue, 2006 The phenomenology of Dvali-Gabadadze-Porrati cosmologies, Phys. Rept. 423 1 [astro-ph/0510068]
78. D. Wands, 2006 Brane-world cosmology, AIP Conf. Proc. 841 228 [gr-qc/0601078]
79. R. Maartens, 2007 Dark energy from brane-world gravity, J. Phys. Conf. Ser. 68 012046 [astro-ph/0602415]
80. Y. Gong, B. Wang and A. Wang, 2007 Thermodynamical properties of the Universe with dark energy J. Cosmol. Astropart. Phys. JCAP01(2007)024
81. Y. Gong, B. Wang and A. Wang, 2007 On thermodynamical properties of dark energy, Phys. Rev. D 75 123516 [gr-qc/0611155]
82. R.-G. Cai, 2008 Thermodynamics of apparent horizon in brane world scenarios, Prog. Theor. Phys. Suppl. 172 100 [0712.2142]
83. S.A. Hayward, 1994 General laws of black hole dynamics, Phys. Rev. D 49 6467
84. S.A. Hayward, 1996 Gravitational energy in spherical symmetry, Phys. Rev.∼D 53 1938 [gr-qc/9408002]
85. S.A. Hayward, 1998 Unified first law of black-hole dynamics and relativistic thermodynamics, Class. Quant. Grav. 15 3147 [gr-qc/9710089]
86. A.-z. Wang, 2003 Critical collapse of cylindrically symmetric scalar field in four-dimensional Einstein's theory of gravity, Phys. Rev. D 68 064006 [gr-qc/0307071]
87. A.-z. Wang, 2005 Comment on absence of trapped surfaces and singularities in cylindrical collapse, Phys. Rev.∼D 72 108501 [gr-qc/0309003]
88. A.-z. Wang, 2005 No outer apparent horizons in Einstein's four-dimensional spacetimes with two commuting spacelike Killing vectors Gen. Relativ. Grav. 37 1919 [gr-qc/0309005]
89. A.Y. Miguelote, N.A. Tomimura and A. Wang, 2004 Gravitational collapse of self-similar perfect fluid in 2+1 gravity, Gen. Rel. Grav.∼36 1883 [gr-qc/0304035]
90. R.-G. Cai and L.-M. Cao, 2007 Unified first law and thermodynamics of apparent horizon in FRW universe, Phys. Rev. D 75 064008 [gr-qc/0611071]
91. Y. Gong and A. Wang, 2007 The Friedmann equations and thermodynamics of apparent horizons, Phys. Rev. Lett. 99 211301 [0704.0793]
92. R. d'Inverno, 1992 Introducing Einstein's relativity, Clarendon Press, Oxford U.K.
93. D. Wands, 1999 Duality invariance of cosmological perturbation spectra, Phys. Rev. D 60 023507 [gr-qc/9809062]
94. F. Finelli and R. Brandenberger, 2002 On the generation of a scale-invariant spectrum of adiabatic fluctuations in cosmological models with a contracting phase, Phys. Rev.∼D 65 103522 [hep-th/0112249]
95. L.E. Allen and D. Wands, 2004 Cosmological perturbations through a simple bounce, Phys. Rev.∼D 70 063515 [astro-ph/0404441]
96. P. Peter and N. Pinto-Neto, 2008 Cosmology without inflation, Phys. Rev.∼D 78 063506 [0809.2022]
97. Supernova Search Team collaboration, A.G. Riess et al., 2004 Type Ia supernova discoveries at z > 1 from the Hubble space telescope: evidence for past deceleration and constraints on dark energy evolution, Astrophys. J. 607 665 [astro-ph/0402512]
98. Λ and w from the first year data set, Astron. Astrophys. 447 31 [astro-ph/0510447]
99. WMAP collaboration, D.N. Spergel et al., 2007 Wilkinson microwave anisotropy probe (WMAP) three year results: implications for cosmology, Astrophys. J. Suppl. 170 377 [astro-ph/0603449]
100. ESSENCE collaboration, W.M. Wood-Vasey et al., 2007 Observational constraints on the nature of the dark energy: first cosmological results from the ESSENCE supernova survey, Astrophys. J. 666 694 [astro-ph/0701041]
101. T.M. Davis et al., 2007 Scrutinizing exotic cosmological models using ESSENCE supernova data combined with other cosmological probes, Astrophys. J. 666 716 [astro-ph/0701510]
102. WMAP collaboration, E. Komatsu et al., 2009 Five-year wilkinson microwave anisotropy probe (WMAP) observations:cosmological interpretation, Astrophys. J. Suppl. 180 330 [0803.0547]