Modified gravity emerging from thermodynamics and holographic principle

International Journal of Modern Physics D

Volumn 20, Issue 8, 2011, Pages 1505-1519

  Zhang, Yi ^a,b   Gong, Yungui ^a   Zhu, Zong Hong ^b  

^a CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Entropic force; holographic principle; modified gravity; thermodynamics

Indexed keywords

EID: 79961134271     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271811019682     Document Type: Article

References (93)

1. E. P. Verlinde, arXiv:1001.0785 [hep-th].
2. T. Padmanabhan, Mod. Phys. Lett. A 25 (2010) 1129 [arXiv:0912.3165 [gr-qc]].
3. J. D. Bekenstein, Phys. Rev. D 7 (1973) 2333.
4. J. M. Bardeen, B. Carter and S. W. Hawking, Commun. Math. Phys. 31 (1973) 161.
5. S. W. Hawking, Commun. Math. Phys. 43 (1975) 199;
6. G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15 (1977) 2738.
7. T. Jacobson, Phys. Rev. Lett. 75 (1995) 1260 [arXiv:gr-qc/9504004].
8. F. W. Shu and Y. Gong, arXiv:1001.3237 [gr-qc].
9. R. G. Cai, L. M. Cao and N. Ohta, Phys. Rev. D 81 (2010) 061501 [arXiv:1001.3470 [hep-th]].
10. A. H. Guth, Phys. Rev. D 23 (1981) 347.
11. A. D. Linde, Phys. Lett. B 108 (1982) 389.
12. D. N. Spergel et al. [WMAP Collaboration], Astrophys. J. Suppl. 148 (2003) 175;
13. H. V. Peiris et al. [WMAP Collaboration], ibid. 148 (2003) 213;
14. D. N. Spergel et al. [WMAP Collaboration], ibid. 170 (2007) 377;
15. E. Komatsu et al. [WMAP Collaboration], ibid. 180 (2009) 330.
16. S. Perlmutter et al. [SNCP Collaboration], Astrophys. J. 517 (1999) 565;
17. A. G. Riess et al. [SNST Collaboration], Astron. J. 116 (1998) 1009;
18. P. Astier et al. [SNLS Collaboration], Astron. Astrophys. 447 (2006) 31;
19. A. G. Riess et al., Astrophys. J. 659 (2007) 98.
20. F. Briscese and E. Elizalde, Phys. Rev. D 77 (2008) 044009 [arXiv:0708.0432 [hep-th]].
21. W. Hu and I. Sawicki, Phys. Rev. D 76 (2007) 104043 [arXiv:0708.1190 [astro-ph]].
22. A. A. Starobinsky, JETP Lett. 86 (2007) 157 [arXiv:0706.2041 [astro-ph]].
23. S. A. Appleby and R. A. Battye, Phys. Lett. B 654 (2007) 7 [arXiv:0705.3199 [astro-ph]].
24. G. T. Horowitz, Phys. Rev. D 21 (1980) 1445.
25. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980) 883
26. [Erratum-ibid. 65 (1981) 2079].
27. F. Caravelli and L. Modesto, arXiv:1001.4364 [gr-qc].
28. R. G. Cai, L. M. Cao and Y. P. Hu, JHEP 0808 (2008) 090 [arXiv:0807.1232 [hep-th]].
29. L. Smolin, arXiv:1001.3668 [gr-qc];
30. J. E. Lidsey, Class. Quant. Grav. 26 (2009) 147001 [arXiv:0812.2791 [gr-qc]].
31. D. V. Fursaev, Phys. Rev. D 51 (1995) 5352 [arXiv:hep-th/9412161].
32. R. Banerjee and B. R. Majhi, Phys. Lett. B 674 (2009) 218 [arXiv:0808.3688 [hep-th]];
33. E. Poisson and W. Israel, Phys. Rev. D 41 (1990) 1796.
34. R. K. Kaul and P. Majumdar, Phys. Rev. Lett. 84 (2000) 5255 [arXiv:gr-qc/0002040].
35. A. Ghosh and P. Mitra, Phys. Rev. D 71 (2005) 027502 [arXiv:gr-qc/ 0401070];
36. M. Domagala and J. Lewandowski, Class. Quant. Grav. 21 (2004) 5233 [arXiv:grqc/0407051];
37. K. A. Meissner, Class. Quant. Grav. 21 (2004) 5245 [arXiv:grqc/0407052].
38. A. J. M. Medved, Class. Quant. Grav. 22 (2005) 133 [arXiv:gr-qc/0406044].
39. S. Hod, Class. Quant. Grav. 21 (2004) L97 [arXiv:hep-th/0405235].
40. C. Rovelli, Phys. Rev. Lett. 77 (1996) 3288 [arXiv:gr-qc/9603063];
41. A. Ashtekar, J. Baez, A. Corichi and K. Krasnov, Phys. Rev. Lett. 80 (1998) 904 [arXiv:grqc/9710007];
42. A. Chatterjee and P. Majumdar, arXiv:gr-qc/0303030.
43. S. N. Solodukhin, Phys. Rev. D 57 (1998) 2410 [arXiv:hep-th/9701106];
44. R. B. Mann and S. N. Solodukhin, Nucl. Phys. B 523 (1998) 293 [arXiv:hep-th/9709064];
45. H. A. Kastrup, Phys. Lett. B 413 (1997) 267 [arXiv:gr-qc/9707009];
46. S. Das, P. Majumdar and R. K. Bhaduri, Class. Quant. Grav. 19 (2002) 2355 [arXiv:hepth/0111001];
47. G. Gour and A. J. M. Medved, Class. Quant. Grav. 20 (2003) 3307 [arXiv:gr-qc/0305018];
48. S. Mukherji and S. S. Pal, JHEP 0205 (2002) 026 [arXiv:hepth/0205164];
49. A. Chatterjee and P. Majumdar, Phys. Rev. Lett. 92 (2004) 141301 [arXiv:gr-qc/0309026].
50. P. Wang, Phys. Rev. D 72 (2005) 024030 [arXiv:gr-qc/0507034].
51. G. Dvali and M. S. Turner, astro-ph/0301510.
52. G. R. Dvali, G. Gabadadze and M. Porrati, Phys. Lett. B 485 (2000) 208;
53. G. R. Dvali and G. Gabadadze, Phys. Rev. D 63 (2001) 065007.
54. L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999) 4690 [arXiv:hep-th/9906064];
55. L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999) 3370 [arXiv:hep-ph/9905221].
56. Y. G. Gong and T. J. Li, Phys. Lett. B 683 (2010) 241;
57. Y. Zhang and H. Li, JCAP 1006 (2010) 003 [arXiv:1003.2788 [astro-ph.CO]].
58. R. G. Cai and L. M. Cao, Nucl. Phys. B 785 (2007) 135 [arXiv:hep-th/0612144];
59. R. G. Cai, Prog. Theor. Phys. Suppl. 172 (2008) 100 [arXiv:0712.2142 [hep-th]];
60. X. H. Ge, Phys. Lett. B 651 (2007) 49 [arXiv:hep-th/0703253];
61. A. Sheykhi, B. Wang and R. G. Cai, Nucl. Phys. B 779 (2007) 1 [arXiv:hep-th/0701198];
62. A. Sheykhi, B.Wang and R. G. Cai, Phys. Rev. D 76 (2007) 023515 [arXiv:hep-th/0701261].
63. K. Bamba and C. Q. Geng, Phys. Lett. B 679 (2009) 282 [arXiv:0901.1509 [hepth]];
64. I. H. Brevik, S. Nojiri, S. D. Odintsov and L. Vanzo, Phys. Rev. D 70 (2004) 043520 [arXiv:hep-th/0401073];
65. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, JCAP 0502 (2005) 010 [arXiv:hep-th/0501096];
66. R. M. Wald, Phys. Rev. D 48 (1993) 3427;
67. V. Iyer and R. M. Wald, Phys. Rev. D 50 (1994) 846;
68. T. Jacobson, G. Kang and R. C. Myers, Phys. Rev. D 49 (1994) 6587;
69. M. Visser, Phys. Rev. D 48 (1993) 5697;
70. T. Jacobson, G. Kang and R. C. Myers, Phys. Rev. D 52 (1995) 3518;
71. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, J. Cosmol. Astropart. Phys. 0502 (2005) 010;
72. T. Multamaki and I. Vilja, Phys. Rev. D 74 (2006) 064022 [arXiv:astro-ph/0606373].
73. M. Akbar and R. G. Cai, Phys. Lett. B 635 (2006) 7 [arXiv:hep-th/0602156] ;
74. M. Akbar and R. G. Cai, Phys. Lett. B 648 (2007) 243 [arXiv:gr-qc/ 0612089];
75. R. G. Cai, L. M. Cao, Y. P. Hu and N. Ohta, Phys. Rev. D 80 (2009) 104016 [arXiv:0910.2387[hep-th]].
76. C. Eling, R. Guedens and T. Jacobson, Phys. Rev. Lett. 96 (2006) 121301 [arXiv:grqc/0602001];
77. E. Elizalde and P. J. Silva, Phys. Rev. D 78 (2008) 061501.
78. K. Bamba, C. Q. Geng and S. Tsujikawa, Phys. Lett. B 688 (2010) 101 [arXiv:0909.2159 [gr-qc]];
79. K. Bamba, C. Q. Geng and S. Tsujikawa, arXiv:1101.3628 [gr-qc].
80. M. Li and Y. Wang, Phys. Lett. B 687 (2010) 243 [arXiv:1001.4466 [hep-th]].
81. C. Gao, Phys. Rev. D 81 (2010) 087306 [arXiv:1001.4585 [hep-th]].
82. H. Wei, Phys. Lett. B 692 (2010) 167 [arXiv:1005.1445 [gr-qc]].
83. R. G. Cai, L. M. Cao and Y. P. Hu, Class. Quant. Grav. 26 (2009) 155018 [arXiv:0809.1554 [hep-th]].
84. C. W. Misner and D. H. Sharp, Phys. Rev. 136 (1964) B571.
85. R. G. Cai and S. P. Kim, JHEP 0502 (2005) 050 [arXiv:hep-th/0501055].
86. S. A. Hayward, Class. Quant. Grav. 15 (1998) 3147 [arXiv:gr-qc/9710089].
87. S. A. Hayward, S. Mukohyama and M. C. Ashworth, Phys. Lett. A 256 (1999) 347 [arXiv:gr-qc/9810006].
88. D. Bak and S. J. Rey, Class. Quant. Grav. 17 (2000) L83 [arXiv:hep-th/9902173].
89. Y. Gong and A. Wang, Phys. Rev. Lett. 99 (2007) 211301 [arXiv:0704.0793 [hepth]];
90. A. V. Frolov and L. Kofman, JCAP 0305 (2003) 009 [arXiv:hep-th/0212327];
91. U. H. Danielsson, Phys. Rev. D 71 (2005) 023516 [arXiv:hep-th/0411172];
92. R. Bousso, Phys. Rev. D 71 (2005) 064024 [arXiv:hep-th/0412197].
93. Y. Gong, B. Wang and A. Wang, JCAP 0701 (2007) 024 [arXiv:gr-qc/0610151].