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EQUIPARTITION OF ENERGY AND THE FIRST LAW OF THERMODYNAMICS AT THE APPARENT HORIZON

College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing, 400065, P. R. China

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and

YUNGUI GONG

College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing, 400065, P. R. China

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https://doi.org/10.1142/S0218271811018883Cited by:23 (Source: Crossref)

Abstract

We apply the holographic principle and the equipartition law of energy to the apparent horizon of a Friedmann–Robertson–Walker universe and derive the Friedmann equation describing the dynamics of the universe. We also show that the equipartition law of energy can be interpreted as the first law of thermodynamics at the apparent horizon. The consistency check shows that our derivation is correct for –1 < w < –(1/3), a value that matches the recent cosmological observations.

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References

J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973). Crossref, Web of Science, ADS, Google Scholar
L. Susskind, J. Math. Phys. 36, 6377 (1995). Crossref, Web of Science, ADS, Google Scholar
G.'t Hooft , arXiv: gr-qc/9310026 . Google Scholar
E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998). Crossref, ADS, Google Scholar
J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998). Crossref, ADS, Google Scholar
J. M. Bardeen, B. Carter and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973). Crossref, Web of Science, ADS, Google Scholar
T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995). Crossref, Web of Science, ADS, Google Scholar
T. Padmanabhan, Class. Quant. Grav. 21, 4485 (2004). Crossref, Web of Science, ADS, Google Scholar
T. Padmanabhan, Mod. Phys. Lett. A 25, 1129 (2010). Link, Web of Science, ADS, Google Scholar
E. Verlinde , arXiv:1001.0785 . Google Scholar
L. Smolin, [gr-qc] , arXiv:1001.3668 . Google Scholar
M. Li and Y. Wang, Phys. Lett. B 687, 243 (2010). Crossref, Web of Science, ADS, Google Scholar
F. Caravelli and L. Modesto, [gr-qc] , arXiv:1001.4364 . Google Scholar
Y. Zhang, Y. G. Gong and Z. H. Zhu, [hep-th] , arXiv:1001.4677 . Google Scholar
C. Gao, Phys. Rev. D 81, 087306 (2010). Crossref, Web of Science, Google Scholar
J. W. Lee, H. C. Kim and J. Lee, [hep-th] , arXiv:1001.5445 . Google Scholar
Y. Ling and J. P. Wu, J. Cosmol. Astropart. Phys. 1008, 017 (2010). Google Scholar
Y. S. Myung, [hep-th] , arXiv:1002.0871 . Google Scholar
L. Zhao, Commun. Theor. Phys. 54, 641 (2010). Web of Science, ADS, Google Scholar
I. V. Vancea and M. A. Santos, [hep-th] , arXiv:1002.2454 . Google Scholar
X. G. He and B. Q. Ma, [hep-th] , arXiv:1003.2510 . Google Scholar
V. V. Kiselev and S. A. Timofeev, Mod. Phys. Lett. A 25, 2223 (2010). Link, Web of Science, ADS, Google Scholar
R. G. Cai and S. P. Kim, J. High Energy Phys. 02, 050 (2005). ADS, Google Scholar
Y. Gong and A. Wang, Phys. Rev. Lett. 99, 211301 (2007). Crossref, Web of Science, ADS, Google Scholar
F. W. Shu and Y. S. Wu, in preparation . Google Scholar
R. G. Cai, L. M. Cao and N. Ohta, Phys. Rev. D 81, 061501 (2010). Crossref, Web of Science, Google Scholar
T. Padmanabhan, Gen. Relativ. Gravit. 42, 2743 (2010). Crossref, Web of Science, ADS, Google Scholar