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在考虑黑洞视界与宇宙视界具有关联性的基础上,证明de Sitter时空的热力学熵为黑洞视界热力学熵与宇宙视界热力学熵之和.给出了考虑两视界具有关联性后的de Sitter时空的热力学特性.研究表明,de Sitter时空的能量上限为纯de Sitter时空能量,de Sitter时空的热容量是负的, de Sitter时空一般是量子力学不稳定的.
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关键词:
- de Sitter时空 /
- 能斯特定理 /
- 暗能量 /
- 等效温度
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.-
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 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 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 56 6164]
[27] Cai R G, Myung Y S, Zhang Y Z 2002 Phys. Rev. D 65 084019
-
[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 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 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 56 6164]
[27] Cai R G, Myung Y S, Zhang Y Z 2002 Phys. Rev. D 65 084019
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