Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

Journal of High Energy Physics

Volumn 2011, Issue 8, 2011, Pages

  Karami, K ^a,b   Abdolmaleki, A ^a   Sahraei, N ^a   Ghaffari, S ^a  

^a UNIVERSITY OF KURDISTAN   (Iran)

^b RESEARCH INSTITUTE FOR ASTRONOMY AND ASTROPHYSICS OF MARAGHA RIAAM   (Iran)

Author keywords

Cosmology of Theories beyond the SM; Models of Quantum Gravity

Indexed keywords

EID: 80053119953     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2011)150     Document Type: Review

References (67)

1. Supernova Search Team collaboration, A.G. Riess et al., Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant, Astron. J. 116 (1998) 1009 [astro-ph/9805201] [SPIRES].
2. Supernova Cosmology Project collaboration, S. Perlmutter et al., Measurements of Omega and Lambda from 42 High-Redshift Supernovae, Astrophys. J. 517 (1999) 565 [astro-ph/9812133] [SPIRES].
3. Boomerang collaboration, P. de Bernardis et al., A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation, Nature 404 (2000) 955 [astro-ph/0004404] [SPIRES].
4. Supernova Cosmology Project collaboration, R.A. Knop et al., New Constraints on ωM, ωA and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST, Astrophys. J. 598 (2003) 102 [astro-ph/0309368] [SPIRES].
5. T. Padmanabhan, Cosmological constant: The weight of the vacuum, Phys. Rept. 380 (2003) 235 [hep-th/0212290] [SPIRES].
6. P.J.E. Peebles and B. Ratra, The cosmological constant and dark energy, Rev. Mod. Phys. 75 (2003) 559 [astro-ph/0207347] [SPIRES].
7. E.J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy, Int. J. Mod. Phys. D 15 (2006) 1753 [hep-th/0603057] [SPIRES].
8. M. Li, X.-D. Li, S. Wang and Y. Wang, Dark Energy, arXiv:1103.5870 [SPIRES].
9. S.W. Hawking, Particle Creation by Black Holes, Commun. Math. Phys. 43 (1975) 199 [SPIRES].
10. J.M. Bardeen, B. Carter and S.W. Hawking, The Four laws of black hole mechanics, Commun. Math. Phys. 31 (1973) 161 [SPIRES].
11. T. Jacobson, Thermodynamics of space-time: The Einstein equation of state, Phys. Rev. Lett. 75 (1995) 1260 [gr-qc/9504004] [SPIRES].
12. R.-G. Cai and S.P. Kim, First law of thermodynamics and Friedmann equations of Friedmann-Robertson-Walker universe, JHEP 02 (2005) 050 [hep-th/0501055] [SPIRES].
13. M. Akbar and R.-G. Cai, Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe, Phys. Rev. D 75 (2007) 084003 [hep-th/0609128] [SPIRES].
14. A. Sheykhi, Thermodynamical interpretation of gravity in braneworld scenarios, JCAP 05 (2009) 019 [SPIRES].
15. R. Banerjee and B.R. Majhi, Quantum Tunneling and Back Reaction,Phys. Lett. B 662 (2008) 62 [arXiv:0801.0200] [SPIRES].
16. R. Banerjee and B.R. Majhi, Quantum Tunneling Beyond Semiclassical Approximation, JHEP 06 (2008) 095 [arXiv:0805.2220] [SPIRES].
17. R. Biswas, N. Mazumder and S. Chakraborty, Hawking-like radiation from the apparent horizon in an FRW Universe: Quantum Corrections, arXiv:1106.4370 [SPIRES].
18. R. Banerjee and S.K. Modak, Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method, JHEP 05 (2009) 063 [arXiv:0903.3321] [SPIRES].
19. S.K. Modak, Corrected entropy of BTZ black hole in tunneling approach, Phys. Lett. B 671 (2009) 167 [arXiv:0807.0959] [SPIRES].
20. R. Banerjee, S. Gangopadhyay and S.K. Modak, Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law, Phys. Lett. B 686 (2010) 181 [arXiv:0911.2123] [SPIRES].
21. S. Das, S. Shankaranarayanan and S. Sur, Power-law corrections to entanglement entropy of black holes, Phys. Rev. D 77 (2008) 064013 [arXiv:0705.2070] [SPIRES].
22. G. Izquierdo and D. Pavon, The generalized second law in phantom dominated universes in the presence of black holes, Phys. Lett. B 639 (2006) 1 [gr-qc/0606014] [SPIRES].
23. H. Mohseni Sadjadi, Generalized second law in phantom dominated universe, Phys. Rev. D 73 (2006) 063525 [gr-qc/0512140] [SPIRES].
24. H. Mohseni Sadjadi, Generalized second law in modified theory of gravity, Phys. Rev. D 76 (2007) 104024 [arXiv:0709.2435] [SPIRES].
25. H. Mohseni Sadjadi, Schwarzschild black hole and the generalized second law in phantom-dominated universe, Phys. Lett. B 645 (2007) 108 [gr-qc/0611114] [SPIRES].
26. J. Zhou, B. Wang, Y. Gong and E. Abdalla, The second law of thermodynamics in the accelerating universe, Phys. Lett. B 652 (2007) 86 [arXiv:0705.1264] [SPIRES].
27. Y. Gong, B. Wang and A. Wang, On thermodynamical properties of dark energy, Phys. Rev. D 75 (2007) 123516 [gr-qc/0611155] [SPIRES].
28. Y. Gong, B. Wang and A. Wang, Thermodynamical properties of the universe with dark energy, JCAP 01 (2007) 024 [gr-qc/0610151] [SPIRES].
29. A. Sheykhi and B. Wang, The generalized second law of thermodynamics in Gauss-Bonnet braneworld, Phys. Lett. B 678 (2009) 434 [arXiv:0811.4478] [SPIRES].
30. A. Sheykhi and B. Wang, Generalized second law of thermodynamics in warped DGP braneworld, Mod. Phys. Lett. A 25 (2010) 1199 [arXiv:0811.4477] [SPIRES].
31. A. Sheykhi, Entropic Corrections to Friedmann Equations, Phys. Rev. D 81 (2010) 104011 [arXiv:1004.0627] [SPIRES].
32. A. Sheykhi, Thermodynamics of apparent horizon and modified Friedmann equations, Eur. Phys. J. C 69 (2010) 265 [arXiv:1012.0383] [SPIRES].
33. A. Sheykhi, Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff, Class. Quant. Grav. 27 (2010) 025007 [arXiv:0910.0510] [SPIRES].
34. K. Karami, Comment on "Interacting holographic dark energy model and generalized second law of thermodynamics in a non-flat universe", by M.R. Setare (JCAP 01 (2007) 023, JCAP 01 (2010) 015 [arXiv:0911.4808] [SPIRES].
35. K. Karami and S. Ghaffari, The generalized second law of thermodynamics for the interacting dark energy in a non-flat FRW universe enclosed by the apparent and event horizons, Phys. Lett. B 685 (2010) 115 [arXiv:0912.0363] [SPIRES].
36. K. Karami and S. Ghaffari, The generalized second law of thermodynamics for the interacting polytropic dark energy in non-flat FRW universe enclosed by the apparent horizon, Phys. Lett. B 688 (2010) 125 [SPIRES].
37. K. Karami, S. Ghaffari and M.M. Soltanzadeh, The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology, Class. Quant. Grav. 27 (2010) 205021 [arXiv:1101.3240] [SPIRES].
38. K. Karami and A. Abdolmaleki, The generalized second law for the interacting new agegraphic dark energy in a non-flat FRW universe enclosed by the apparent horizon, Astrophys. Space Sci. 331 (2011) 309 [arXiv:0909.2427] [SPIRES].
39. N. Radicella and D. Pav́on, The generalized second law in universes with quantum corrected entropy relations, Phys. Lett. B 691 (2010) 121 [arXiv:1006.3745] [SPIRES].
40. J.D. Bekenstein, Black holes and entropy, Phys. Rev. D 7 (1973) 2333 [SPIRES].
41. P.C.W. Davies, Cosmological horizons and the generalized second law of thermodynamics, Class. Quant. Grav. 4 (1987) L225 [SPIRES].
42. G. Izquierdo and D. Pav́on, Dark energy and the generalized second law, Phys. Lett. B 633 (2006) 420 [astro-ph/0505601] [SPIRES].
43. B. Wang, Y. Gong and E. Abdalla, Thermodynamics of an accelerated expanding universe, Phys. Rev. D 74 (2006) 083520 [gr-qc/0511051] [SPIRES].
44. J. Ren and X.-H. Meng, Cosmological model with viscosity media (dark fluid) described by an effective equation of state, Phys. Lett. B 633 (2006) 1 [astro-ph/0511163] [SPIRES].
45. E. Poisson and W. Israel, Internal structure of black holes, Phys. Rev. D 41 (1990) 1796 [SPIRES].
46. S.A. Hayward, Gravitational energy in spherical symmetry, Phys. Rev. D 53 (1996) 1938 [gr-qc/9408002] [SPIRES].
47. Y. Gong and A. Wang, The Friedmann equations and thermodynamics of apparent horizons, Phys. Rev. Lett. 99 (2007) 211301 [arXiv:0704.0793] [SPIRES].
48. R.G. Cai, L.M. Cao and Y.P. Hu, Hawking Radiation of Apparent Horizon in a FRW Universe, Class. Quant. Grav. 26 (2009) 155018 [arXiv:0809.1554] [SPIRES].
49. R.-G. Cai, L.-M. Cao and Y.-P. Hu, Corrected Entropy-Area Relation and Modified Friedmann Equations, JHEP 08 (2008) 090 [arXiv:0807.1232] [SPIRES].
50. I.H. Brevik and O. Gorbunova, Dark Energy and Viscous Cosmology, Gen. Rel. Grav. 37 (2005) 2039 [gr-qc/0504001] [SPIRES].
51. I.H. Brevik, O. Gorbunova and Y.A. Shaido, Viscous FRW cosmology in modified gravity, Int. J. Mod. Phys. D 14 (2005) 1899 [gr-qc/0508038] [SPIRES].
52. I.H. Brevik and O. Gorbunova, Viscous Dark Cosmology with Account of Quantum Effects, Eur. Phys. J. C 56 (2008) 425 [arXiv:0806.1399] [SPIRES].
53. J. Ren and X.-H. Meng, Modified equation of state, scalar field and bulk viscosity in Friedmann universe, Phys. Lett. B 636 (2006) 5 [astro-ph/0602462] [SPIRES].
54. A. Sheykhi and M.R. Setare, Interacting new agegraphic viscous dark energy with varying G, Int. J. Theor. Phys. 49 (2010) 2777 [arXiv:1003.1109] [SPIRES].
55. N. Cruz, S. Lepe and F. Pena, The coincidence problem in the scenario of dark energy interacting with two fluids, arXiv:0910.1307 [SPIRES].
56. M. Jamil, F. Rahaman and M. Kalam, Cosmic coincidence problem and variable constants of physics, Eur. Phys. J. C 60 (2009) 149 [arXiv:0809.4314] [SPIRES].
57. M. Jamil and F. Rahaman, On the resolution of cosmic coincidence problem and phantom crossing with triple interacting fluids, Eur. Phys. J. C 64 (2009) 97 [SPIRES].
58. M. Jamil, E.N. Saridakis and M.R. Setare, Thermodynamics of dark energy interacting with dark matter and radiation, Phys. Rev. D 81 (2010) 023007 [arXiv:0910.0822] [SPIRES].
59. G. 'Thooft, Dimensional reduction in quantum gravity, gr-qc/9310026 [SPIRES].
60. L. Susskind, The World as a hologram, J. Math. Phys. 36 (1995) 6377 [hep-th/9409089] [SPIRES].
61. M. Li, A model of holographic dark energy, Phys. Lett. B 603 (2004) 1 [hep-th/0403127] [SPIRES].
62. Q.-G. Huang and M. Li, The holographic dark energy in a non-flat universe, JCAP 08 (2004) 013 [astro-ph/0404229] [SPIRES].
63. A. Sheykhi and M. Jamil, Power-Law Entropy Corrected Holographic Dark Energy Model, arXiv:1011.0134 [SPIRES].
64. G. Dvali and M.S. Turner, Dark energy as a modification of the Friedmann equation, astro-ph/0301510 [SPIRES].
65. S.D.H. Hsu, Entropy bounds and dark energy, Phys. Lett. B 594 (2004) 13 [hep-th/0403052] [SPIRES].
66. M. Li, X.-D. Li, S. Wang and X. Zhang, Holographic dark energy models: A comparison from the latest observational data, JCAP 06 (2009) 036 [arXiv:0904.0928] [SPIRES].
67. WMAP collaboration, E. Komatsu et al., Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation, Astrophys. J. Suppl. 192 (2011) 18 [arXiv:1001.4538] [SPIRES].