Dynamically avoiding fine-tuning the cosmological constant: The "Relaxed Universe"

Journal of Cosmology and Astroparticle Physics

Volumn 2010, Issue 12, 2010, Pages

  Bauer, Florian ^a   Solà, Joan ^a   Štefančić, Hrvoje ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b RUDER BO KOVI INSTITUTE   (Croatia)

Author keywords

Cosmology of theories beyond the SM; Dark energy theory; Modified gravity

Indexed keywords

EID: 78651493794     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2010/12/029     Document Type: Article

References (123)

1. WMAP collaboration, D. N. Spergel et al., Wilkinson Microwave Anisotropy Probe (WMAP) three year results: Implications for cosmology, Astrophys. J. Suppl. 170 (2007) 377 [astro-ph/0603449].
2. λ and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST, Astrophys. J. 598 (2003) 102 [astro-ph/0309368];
3. SUPERNOVA SEARCH TEAM collaboration, A. G. Riess et al., 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 (2004) 665 [astro-ph/0402512].
4. S. Weinberg, The cosmological constant problem, Rev. Mod. Phys. 61 (1989) 1.
5. P. J. E. Peebles and B. Ratra, The cosmological constant and dark energy, Rev. Mod. Phys. 75 (2003) 559 [astro-ph/0207347];
6. T. Padmanabhan, Cosmological constant: The weight of the vacuum, Phys. Rept. 380 (2003) 235 [hep-th/0212290];
7. V. Sahni and A. A. Starobinsky, The Case for a Positive Cosmological Lambda-term, Int. J. Mod. Phys. D 9 (2000) 373 [astro-ph/9904398];
8. S. M. Carroll, The cosmological constant, Living Rev. Rel. 4 (2001) 1 [astro-ph/0004075];
9. E. J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy, Int. J. Mod. Phys. D 15 (2006) 1753 [hep-th/0603057].
10. Y. B. Zeldovich, Cosmological Constant and Elementary Particles, JETP Lett. 6 (1967) 316
11. [Pisma Zh. Eksp. Teor. Fiz. 6 (1967) 883].
12. P. J. Steinhardt, Cosmological Challenges for the 21st Century, in Critical Problems in Physics, V. L. Fitch, D. R. Marlow and M. A. E. Dementi eds., Princeton University Press, Princeton U. S. A. (1997);
13. A quintessential introduction to dark energy, Phil. Trans. Roy. Soc. Lond. A 361 (2003) 2497.
14. L. Perivolaropoulos, Six Puzzles for LCDM Cosmology, arXiv:0811.4684.
15. P. Fayet and S. Ferrara, Supersymmetry, Phys. Rept. 32 (1977) 249;
16. H. P. Nilles, Supersymmetry, Supergravity and Particle Physics, Phys. Rept. 110 (1984) 1;
17. H. E. Haber and G. L. Kane, The Search for Supersymmetry: Probing Physics Beyond the Standard Model, Phys. Rept. 117 (1985) 75.
18. J. Wess and B. Zumino, Supergauge Transformations in Four-Dimensions, Nucl. Phys. B 70 (1974) 39.
19. M. Dine, R. Rohm, N. Seiberg and E. Witten, Gluino Condensation in Superstring Models, Phys. Lett. B 156 (1985) 55.
20. L. Susskind, The anthropic landscape of string theory, in Universe or multiverse?, B. Carr ed., Cambridge University Press (2007), pg. 247-266, [hep-th/0302219].
21. A. D. Dolgov, An Attempt To Get Rid Of The Cosmological Constant, in The very Early Universe, G. Gibbons, S. W. Hawking and S. T. Tiklos, Cambridge University Press (1982);
22. L. F. Abbott, A mechanism for reducing the value of the cosmological constant, Phys. Lett. B 150 (1985) 427;
23. L. H. Ford, Cosmological constant damping by unstable scalar fields, Phys. Rev. D 35 (1987) 2339;
24. R. D. Peccei, J. Solà and C. Wetterich, Adjusting the Cosmological Constant Dynamically: Cosmons and a New Force Weaker Than Gravity, Phys. Lett. B 195 (1987) 183;
25. S. M. Barr, An attempt at a classical cancellation of the cosmological constant, Phys. Rev. D 36 (1987) 1691;
26. S. M. Barr and D. Hochberg, Dynamical adjustment of the cosmological constant, Phys. Lett. B 211 (1988) 49;
27. J. Solà, The cosmological constant and the fate of the cosmon in Weyl conformal gravity, Phys. Lett. B 228 (1989) 317;
28. Scale gauge symmetry and the standard model, Int. J. Mod. Phys. A 5 (1990) 4225.
29. C. Wetterich, Cosmology and the Fate of Dilatation Symmetry, Nucl. Phys. B 302 (1988) 668;
30. P. J. E. Peebles and B. Ratra, Cosmology with a Time Variable Cosmological Constant, Astrophys. J. 325 (1988) L17;
31. B. Ratra and P. J. E. Peebles, Cosmological Consequences of a Rolling Homogeneous Scalar Field, Phys. Rev. D 37 (1988) 3406;
32. P. G. Ferreira and M. Joyce, Cosmology with a Primordial Scaling Field, Phys. Rev. D 58 (1998) 023503 [astro-ph/9711102];
33. R. R. Caldwell, R. Dave and P. J. Steinhardt, Cosmological Imprint of an Energy Component with General Equation-of-State, Phys. Rev. Lett. 80 (1998) 1582 [astro-ph/9708069];
34. P. J. Steinhardt, L.-M. Wang and I. Zlatev, Cosmological tracking solutions, Phys. Rev. D 59 (1999) 123504 [astro-ph/9812313];
35. V. Sahni and L.-M. Wang, A New cosmological model of quintessence and dark matter, Phys. Rev. D 62 (2000) 103517 [astro-ph/9910097].
36. I. L. Shapiro and J. Solà, On the possible running of the cosmological 'constant', Phys. Lett. B 682 (2009) 105 [arXiv:0910.4925];
37. see also the detailed review Can the cosmological 'constant' run? - It may run, arXiv:0808.0315 on the quantum field theory of the CC term, and references therein.
38. B. F. L. Ward, On the Running of the Cosmological Constant in Quantum General Relativity, Mod. Phys. Lett. A 25 (2010) 607 [arXiv:0908.1764];
39. Planck Scale Cosmology and Resummed Quantum Gravity, arXiv:0910.0490;
40. Resummed quantum gravity, Int. J. Mod. Phys. D 17 (2008) 627 [hep-ph/0610232];
41. Planck Scale Cosmology in Resummed Quantum Gravity, Mod. Phys. Lett. A 23 (2008) 3299 [arXiv:0808.3124].
42. I. L. Shapiro and J. Solà, On the scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom, Phys. Lett. B 475 (2000) 236 [hep-ph/9910462];
43. Scaling behavior of the cosmological constant: Interface between quantum field theory and cosmology, JHEP 02 (2002) 006 [hep-th/0012227];
44. Cosmological constant, renormalization group and Planck scale physics, Nucl. Phys. Proc. Suppl. 127 (2004) 71 [hep-ph/0305279].
45. A. Babic, B. Guberina, R. Horvat and H. Štefančić, Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the standard model, Phys. Rev. D 65 (2002) 085002 [hep-ph/0111207];
46. B. Guberina, R. Horvat and H. Štefančić, Renormalization-group running of the cosmological constant and the fate of the universe, Phys. Rev. D 67 (2003) 083001 [hep-ph/0211184];
47. I. L. Shapiro, J. Solà and H. Štefančić, Running G and Lambda at low energies from physics at M (X): Possible cosmological and astrophysical implications, JCAP 01 (2005) 012 [hep-ph/0410095];
48. F. Bauer, The running of the cosmological and the Newton constant controlled by the cosmological event horizon, Class. Quant. Grav. 22 (2005) 3533 [gr-qc/0501078];
49. The cosmological constant and discrete space-times, Ph. D. Thesis, hep-th/0610178;
50. Scaling laws for the cosmological constant, gr-qc/0512007;
51. J. C. Fabris, I. L. Shapiro and J. Solà, Density perturbations for running cosmological constant, JCAP 02 (2007) 016 [gr-qc/0609017].
52. J. Grande, J. Solà, J. C. Fabris and I. L. Shapiro, Cosmic perturbations with running G and Lambda, Class. Quant. Grav. 27 (2010) 105004 [arXiv:1001.0259].
53. I. L. Shapiro and J. Solà, Cosmological constant problems and renormalization group, J. Phys. A 40 (2007) 6583 [gr-qc/0611055] and references therein.
54. O. Bertolami, Time dependent cosmological term, Nuovo Cim. B 93 (1986) 36;
55. M. Ozer and M. O. Taha, A Model of the Universe with Time Dependent Cosmological Constant Free of Cosmological Problems, Nucl. Phys. B 287 (1987) 776;
56. K. Freese, F. C. Adams, J. A. Frieman and E. Mottola, Cosmology With Decaying Vacuum Energy, Nucl. Phys. B 287 (1987) 797;
57. J. C. Carvalho, J. A. S. Lima and I. Waga, On the cosmological consequences of a time dependent lambda term, Phys. Rev. D 46 (1992) 2404.
58. J. M. Overduin and F. I. Cooperstock, Evolution of the Scale Factor with a Variable Cosmological Term, Phys. Rev. D 58 (1998) 043506 [astro-ph/9805260] and references therein.
59. S. Basilakos, M. Plionis and J. Solà, Hubble expansion & Structure Formation in Time Varying Vacuum Models, Phys. Rev. D 80 (2009) 083511 [arXiv:0907.4555].
60. I. L. Shapiro, J. Solà, C. España-Bonet and P. Ruiz-Lapuente, Variable cosmological constant as a Planck scale effect, Phys. Lett. B 574 (2003) 149 [astro-ph/0303306];
61. C. Espana-Bonet, P. Ruiz-Lapuente, I. L. Shapiro and J. Solà, Testing the running of the cosmological constant with type-IA supernovae at high z, JCAP 02 (2004) 006 [hep-ph/0311171];
62. I. L. Shapiro and J. Solà, A Friedmann-Lemaitre-Robertson-Walker cosmological model with running Lambda, astro-ph/0401015.
63. J. Grande, J. Solà and H. Štefančić, LXCDM: a cosmon model solution to the cosmological coincidence problem?, JCAP 08 (2006) 011 [gr-qc/0604057].
64. J. Grande, J. Solà and H. Štefančić, Composite dark energy: cosmon models with running cosmological term and gravitational coupling, Phys. Lett. B 645 (2007) 236 [gr-qc/0609083].
65. J. Grande, J. Solà and H. Štefančić, Cosmologies with variable parameters and dynamical cosmon: Implications on the cosmic coincidence problem, J. Phys. A 40 (2007) 6787 [gr-qc/0701090];
66. J. Grande, R. Opher, A. Pelinson and J. Solà, Effective growth of matter density fluctuations in the running LCDM and LXCDM models, JCAP 12 (2007) 007 [arXiv:0709.2130];
67. J. Grande, A. Pelinson and J. Solà, Dark energy perturbations and cosmic coincidence, Phys. Rev. D 79 (2009) 043006 [arXiv:0809.3462];
68. Dark energy perturbations and a possible solution to the coincidence problem, arXiv:0904.3293.
69. H. Štefančić, The solution of the cosmological constant problem from the inhomogeneous equation of state - a hint from modified gravity?, Phys. Lett. B 670 (2009) 246 [arXiv:0807.3692].
70. F. Bauer, J. Solà and H. Štefančić, Relaxing a large cosmological constant, Phys. Lett. B 678 (2009) 427 [arXiv:0902.2215].
71. S. Nojiri and S. D. Odintsov, Inhomogeneous equation of state of the universe: Phantom era, future singularity and crossing the phantom barrier, Phys. Rev. D 72 (2005) 023003 [hep-th/0505215].
72. S. M. Barr, S.-P. Ng and R. J. Scherrer, Classical cancellation of the cosmological constant re-considered, Phys. Rev. D 73 (2006) 063530 [hep-ph/0601053].
73. P. Batra, K. Hinterbichler, L. Hui and D. N. Kabat, Pseudo-redundant vacuum energy, Phys. Rev. D 78 (2008) 043507 [arXiv:0801.4526].
74. D. A. Demir, Vacuum Energy as the Origin of the Gravitational Constant, Found. Phys. 39 (2009) 1407 [arXiv:0910.2730];
75. J. Bernabeu, C. Espinoza and N. E. Mavromatos, Cosmological Constant and Local Gravity, Phys. Rev. D 81 (2010) 084002 [arXiv:0910.3637];
76. J. B. Jimenez and A. L. Maroto, Cosmological electromagnetic fields and dark energy, JCAP 03 (2009) 016 [arXiv:0811.0566].
77. M. Maggiore, Zero-point quantum fluctuations and dark energy, arXiv:1004.1782;
78. N. Bilic, Vacuum fluctuations in a supersymmetric model in de Sitter spacetime, arXiv:1004.4984.
79. F. Bauer, Perturbations in the relaxation mechanism for a large cosmological constant, Class. Quant. Grav. 27 (2010) 055001 [arXiv:0909.2237].
80. F. Bauer, J. Solà and H. Štefančić, The Relaxed Universe: towards solving the cosmological constant problem dynamically from an effective action functional of gravity, Phys. Lett. B 688 (2010) 269 [arXiv:0912.0677].
81. S. Nojiri and S. D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy, eConf C0602061 (2006) 06
82. [Int. J. Geom. Meth. Mod. Phys. 4 (2007) 115] [hep-th/0601213];
83. T. P. Sotiriou and V. Faraoni, f (R) Theories Of Gravity, Rev. Mod. Phys. 82 (2010) 451 [arXiv:0805.1726];
84. R. P. Woodard, Avoiding dark energy with 1/R modifications of gravity, Lect. Notes Phys. 720 (2007) 403 [astro-ph/0601672].
85. L. Amendola, D. Polarski and S. Tsujikawa, Are f (R) dark energy models cosmologically viable?, Phys. Rev. Lett. 98 (2007) 131302 [astro-ph/0603703];
86. L. Amendola, R. Gannouji, D. Polarski and S. Tsujikawa, Conditions for the cosmological viability of f (R) dark energy models, Phys. Rev. D 75 (2007) 083504 [gr-qc/0612180].
87. L. E. Parker and D. J. Toms, Quantum Field Therory in Curved Spacetime: quantized fields and gravity, Cambridge University Press (2009).
88. I. L. Shapiro, Class. Quant. Grav. 25 (2008) 103001 [arXiv:0801.0216].
89. A. A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. B 91 (1980) 99;
90. A. Vilenkin, Classical and quantum cosmology of the Starobinsky inflationary model, Phys. Rev. D 32 (1985) 2511.
91. I. Antoniadis and E. Mottola, 4 - D quantum gravity in the conformal sector, Phys. Rev. D 45 (1992) 2013;
92. I. Antoniadis, P. O. Mazur and E. Mottola, Criticality and scaling in 4D quantum gravity, Phys. Lett. B 394 (1997) 49 [hep-th/9611145];
93. I. Antoniadis, P. O. Mazur and E. Mottola, Physical States of the Quantum Conformal Factor, Phys. Rev. D 55 (1997) 4770 [hep-th/9509169];
94. Fractal geometry of quantum spacetime at large scales, Phys. Lett. B 444 (1998) 284 [hep-th/9808070];
95. Cosmological dark energy: Prospects for a dynamical theory, New J. Phys. 9 (2007) 11 [gr-qc/0612068] and references therein.
96. I. L. Shapiro and J. Solà, Massive fields temper anomaly-induced inflation, Phys. Lett. B 530 (2002) 10 [hep-ph/0104182];
97. A. M. Pelinson, I. L. Shapiro and F. I. Takakura, On the stability of the anomaly-induced inflation, Nucl. Phys. B 648 (2003) 417 [hep-ph/0208184];
98. N. Bilic, B. Guberina, R. Horvat, H. Nikolic and H. Štefanč ić, On Cosmological Implications of Gravitational Trace Anomaly, Phys. Lett. B 657 (2007) 232 [arXiv:0707.3830].
99. J. Solà, Dark energy: a quantum fossil from the inflationary Universe?, J. Phys. A 41 (2008) 164066 [arXiv:0710.4151].
100. S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Is Cosmic Speed-Up Due to New Gravitational Physics?, Phys. Rev. D 70 (2004) 043528 [astro-ph/0306438];
101. S. Nojiri and S. D. Odintsov, Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration, Phys. Rev. D 68 (2003) 123512 [hep-th/0307288];
102. S. M. Carroll et al., The cosmology of generalized modified gravity models, Phys. Rev. D 71 (2005) 063513 [astro-ph/0410031].
103. A. Hindawi, B. A. Ovrut and D. Waldram, Non-Trivial Vacua in Higher-Derivative Gravitation, Phys. Rev. D 53 (1996) 5597 [hep-th/9509147];
104. A. De Felice, M. Hindmarsh and M. Trodden, Ghosts, instabilities and superluminal propagation in modified gravity models, JCAP 08 (2006) 005 [astro-ph/0604154].
105. S. Nojiri and S. D. Odintsov, Modified Gauss-Bonnet theory as gravitational alternative for dark energy, Phys. Lett. B 631 (2005) 1 [hep-th/0508049];
106. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem, Phys. Rev. D 73 (2006) 084007 [hep-th/0601008];
107. String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy, Phys. Rev. D 75 (2007) 086002 [hep-th/0611198].
108. I. Navarro and K. Van Acoleyen, Consistent long distance modification of gravity from inverse powers of the curvature, JCAP 03 (2006) 008 [gr-qc/0511045];
109. D. Comelli, Born-Infeld type gravity, Phys. Rev. D 72 (2005) 064018 [gr-qc/0505088].
110. K. Bamba, S. D. Odintsov, L. Sebastiani and S. Zerbini, Finite-time future singularities in modified Gauss-Bonnet and F (R, G) gravity and singularity avoidance, Eur. Phys. J. C 67 (2010) 295 [arXiv:0911.4390].
111. J. Solà and H. Štefančić, Dynamical dark energy or variable cosmological parameters?, Mod. Phys. Lett. A 21 (2006) 479 [astro-ph/0507110];
112. Effective equation of state for dark energy: mimicking quintessence and phantom energy through a variable Lambda, Phys. Lett. B 624 (2005) 147 [astro-ph/0505133].
113. M. Quartin, M. O. Calvao, S. E. Joras, R. R. R. Reis and I. Waga, Dark Interactions and Cosmological Fine-Tuning, JCAP 05 (2008) 007 [arXiv:0802.0546].
114. R. D. Peccei, J. Solà and C. Wetterich, Adjusting the Cosmological Constant Dynamically: Cosmons and a New Force Weaker Than Gravity, Phys. Lett. B 195 (1987) 183.
115. S. Basilakos, M. Plionis and J. Solà, The spherical collapse model in time varying vacuum cosmologies, Phys. Rev. D 82 (2010) 083512 [arXiv:1005.5592].
116. C. W. Misner, K. S. Thorn and J. A. Wheeler, Gravitation, Freeman, San Francisco U. S. A. (1973).
117. S. R Coleman, Aspects of Symmetry, Cambridge University Press, (1985);
118. P. Ramond, Field Theory. A Modern Primer, Benjamin/Cummings Publ. Comp., (1981);
119. L. H. Ryder, Quantum Field Theory, Cambridge University Press, (1985).
120. S. Capozziello, S. Carloni and A. Troisi, Quintessence without scalar fields, Recent Res. Dev. Astron. Astrophys. 1 (2003) 625 [astro-ph/0303041].
121. S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Is Cosmic Speed-Up Due to New Gravitational Physics?, Phys. Rev. D 70 (2004) 043528 [astro-ph/0306438].
122. F. Bauer, J. Solà, H. Štefančić, in preparation.
123. T. Chiba, 1/R gravity and scalar-tensor gravity, Phys. Lett. B 575 (2003) 1 [astro-ph/0307338].