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Considering the fact that there is a correlation between the black hole horizon and cosmological horizon, we show that the thermodynamic entropy of de Sitter spacetime is the sum of thermodynamic entropies of the black hole horizon and cosmological horizon. The thermodynamic properties of de Sitter spacetime are also derived. It is shown that the upper limit energy of de Sitter spacetime is equal to the energy of pure de Sitter spacetime, The thermal capacity of de Sitter spacetime is negative, so de Sitter spacetime is mechanically unstable.
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Keywords:
- de Sitter spacetime /
- Nernst theorem /
- dark energy /
- equivalent temperature
[1] Hawking S W, Page D N 1983 Commun. Math. Phys. 87 577
[2] Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2738
[3] Cai R G 2002 Nucl. Phys. B 628 375
[4] Myung Y S 2008 Phys. Rev. D 77 104007
[5] Urano M, Tomimatsu A 2009 Classical Quantum Grav. 26 105010
[6] Dymnikova I, Korpusik M 2010 Phys. Lett. B 685 12
[7] Myung Y S 2007 Phys. Lett. B 645 369
[8] Farmany A, Dehghani M, Setare M R, Mortazavi S S 2009 Phys. Lett. B 682 114
[9] Medved A J M 2002 Phys. Rev. D 66 124009
[10] Zhao R, Zhang L C, Li H F 2010 Gen. Relat. Grav. 42 975
[11] Setare M R, Altaie M B 2003 Eur. Phys. J. C 30 273
[12] Hu S Q, Zhang L C, Zhao R 2009 Acta Phys. Sin. 58 6798 (in Chinese ) [胡双启、 张丽春、 赵 仁 2009 物理学报 58 6798]
[13] Li H L, Jiang Q Q, Yang S Z 2006 Acta Phys. Sin. 55 539 (in Chinese ) [李慧玲、 蒋青权、 杨树政 2006 物理学报 55 539]
[14] Ren J, Zhao Z 2006 Chin. Phys. 15 292
[15] Lin K, Yang S Z 2009 Chin. Phys. B 18 2154
[16] Han Y W, Bao Z Q, Hong Y 2009 Chin. Phys. B 18 62
[17] Chen D Y, Jiang Q Q, Li H L, Yang S Z 2006 Chin. Phys. 15 1425
[18] Li H F, Zhang S L, Wu Y Q, Zhang L C, Zhao R 2009 Eur. Phys. J. C 63 133
[19] Cai R G 2005 Physics 34 555 (in Chinese ) [蔡荣根 2005 物理 34 555]
[20] Cai R G, Ji J Y, Soh K S 1998 Classical Quantum Grav. 15 2783
[21] Cai R G 2002 Phys. Lett. B 525 331
[22] Abbott L F, Deser S 1982 Nucl. Phys. B 195 76
[23] Balasubramanian V, de Boer J, Minic D 2002 Phys. Rev. D 65 123508
[24] Ghezelbash A M, Mann R B 2002 J. High Energy Phys. ( 1 ) 005
[25] Zhang J Y 2008 Phys. Lett. B 668 353
[26] Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese )[刘文彪 2007 物理学报 56 6164]
[27] Cai R G, Myung Y S, Zhang Y Z 2002 Phys. Rev. D 65 084019
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[1] Hawking S W, Page D N 1983 Commun. Math. Phys. 87 577
[2] Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2738
[3] Cai R G 2002 Nucl. Phys. B 628 375
[4] Myung Y S 2008 Phys. Rev. D 77 104007
[5] Urano M, Tomimatsu A 2009 Classical Quantum Grav. 26 105010
[6] Dymnikova I, Korpusik M 2010 Phys. Lett. B 685 12
[7] Myung Y S 2007 Phys. Lett. B 645 369
[8] Farmany A, Dehghani M, Setare M R, Mortazavi S S 2009 Phys. Lett. B 682 114
[9] Medved A J M 2002 Phys. Rev. D 66 124009
[10] Zhao R, Zhang L C, Li H F 2010 Gen. Relat. Grav. 42 975
[11] Setare M R, Altaie M B 2003 Eur. Phys. J. C 30 273
[12] Hu S Q, Zhang L C, Zhao R 2009 Acta Phys. Sin. 58 6798 (in Chinese ) [胡双启、 张丽春、 赵 仁 2009 物理学报 58 6798]
[13] Li H L, Jiang Q Q, Yang S Z 2006 Acta Phys. Sin. 55 539 (in Chinese ) [李慧玲、 蒋青权、 杨树政 2006 物理学报 55 539]
[14] Ren J, Zhao Z 2006 Chin. Phys. 15 292
[15] Lin K, Yang S Z 2009 Chin. Phys. B 18 2154
[16] Han Y W, Bao Z Q, Hong Y 2009 Chin. Phys. B 18 62
[17] Chen D Y, Jiang Q Q, Li H L, Yang S Z 2006 Chin. Phys. 15 1425
[18] Li H F, Zhang S L, Wu Y Q, Zhang L C, Zhao R 2009 Eur. Phys. J. C 63 133
[19] Cai R G 2005 Physics 34 555 (in Chinese ) [蔡荣根 2005 物理 34 555]
[20] Cai R G, Ji J Y, Soh K S 1998 Classical Quantum Grav. 15 2783
[21] Cai R G 2002 Phys. Lett. B 525 331
[22] Abbott L F, Deser S 1982 Nucl. Phys. B 195 76
[23] Balasubramanian V, de Boer J, Minic D 2002 Phys. Rev. D 65 123508
[24] Ghezelbash A M, Mann R B 2002 J. High Energy Phys. ( 1 ) 005
[25] Zhang J Y 2008 Phys. Lett. B 668 353
[26] Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese )[刘文彪 2007 物理学报 56 6164]
[27] Cai R G, Myung Y S, Zhang Y Z 2002 Phys. Rev. D 65 084019
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