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Charge conservation, entropy current and gravitation

Aoki, Sinya Onogi, Tetsuya Yokoyama, Shuichi 京都大学 DOI:10.1142/S0217751X21502018

2021.10.20

概要

We propose a new class of vector fields to construct a conserved charge in a general field theory whose energy–momentum tensor is covariantly conserved. We show that there always exists such a vector field in a given field theory even without global symmetry. We also argue that the conserved current constructed from the (asymptotically) timelike vector field can be identified with the entropy current of the system. As a piece of evidence we show that the conserved charge defined therefrom satisfies the first law of thermodynamics for an isotropic system with a suitable definition of temperature. We apply our formulation to several gravitational systems such as the expanding universe, Schwarzschild and Banãdos, Teitelboim and Zanelli (BTZ) black holes, and gravitational plane waves. We confirm the conservation of the proposed entropy density under any homogeneous and isotropic expansion of the universe, the precise reproduction of the Bekenstein–Hawking entropy incorporating the first law of thermodynamics, and the existence of gravitational plane wave carrying no charge, respectively. We also comment on the energy conservation during gravitational collapse in simple models.

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参考文献

1.

2.

3.

4.

J. Bekenstein, Lett. Nuovo Cimento 4, 737 (1972).

J. M. Bardeen, B. Carter and S. Hawking, Commun. Math. Phys. 31, 161 (1973).

J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).

S. W. Hawking, Commun. Math. Phys. 43, 199 (1975) [Erratum Commun. Math.

Phys. 46, 206 (1976)].

5. J. D. Bekenstein, Phys. Rev. D 9, 3292 (1974).

2150201-12

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Charge conservation, entropy current and gravitation

6. S. Hawking, G. T. Horowitz and S. F. Ross, Phys. Rev. D 51, 4302 (1995), arXiv:grqc/9409013.

7. C. Teitelboim, Phys. Rev. D 51, 4315 (1995), arXiv:hep-th/9410103 [Erratum: Phys.

Rev. D 52, 6201 (1995)].

8. G. Gibbons and R. Kallosh, Phys. Rev. D 51, 2839 (1995), arXiv:hep-th/9407118.

9. K. S. Thorne, R. H. Price and D. M. Macdonald, Black Holes: The Membrane

Paradigm (Yale University Press, New Haven, CT., 1986).

10. J. Brown and J. W. York, Phys. Rev. D 47, 1420 (1993), arXiv:gr-qc/9209014.

11. M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Phys. Rev. D 48, 1506

(1993), arXiv:gr-qc/9302012 [Erratum Phys. Rev. D 88, 069902 (2013)].

12. D. Garfinkle, S. B. Giddings and A. Strominger, Phys. Rev. D 49, 958 (1994),

arXiv:gr-qc/9306023.

13. R. M. Wald, Phys. Rev. D 48, 3427 (1993), arXiv:gr-qc/9307038.

14. M. Srednicki, Phys. Rev. Lett. 71, 666 (1993), arXiv:hep-th/9303048.

15. L. Susskind, L. Thorlacius and J. Uglum, Phys. Rev. D 48, 3743 (1993), arXiv:hepth/9306069.

16. T. Jacobson, G. Kang and R. C. Myers, Phys. Rev. D 49, 6587 (1994), arXiv:grqc/9312023.

17. L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994), arXiv:hep-th/9401070.

18. V. Iyer and R. M. Wald, Phys. Rev. D 50, 846 (1994), arXiv:gr-qc/9403028.

19. S. Aoki, T. Onogi and S. Yokoyama, Phys. Lett. B 814, 136104 (2021),

arXiv:2004.03779.

20. S. Aoki, T. Onogi and S. Yokoyama, Int. J. Mod. Phys. A 36, 2150098 (2021),

arXiv:2005.13233.

21. V. Fock, Theory of Space, Time, and Gravitation (Pergamon Press, New York, 1959).

22. A. Trautman, Gen. Relativ. Gravit. 34, 721 (2002).

23. S. Angus, K. Cho and J.-H. Park, Eur. Phys. J. C 78, 500 (2018), arXiv:1804.00964.

24. H. Kodama, Prog. Theor. Phys. 63, 1217 (1980).

25. E. W. Kolb and M. S. Turner, The Early Universe, Vol. 69 (Addison-Wesley, 1990).

26. D. Baumann, Cosmology — Part III Mathematical Tripos, http://cosmology.

amsterdam/education/cosmology/.

27. S. W. Hawking and D. N. Page, Commun. Math. Phys. 87, 577 (1983).

28. G. Gibbons and S. Hawking, Phys. Rev. D 15, 2752 (1977).

29. M. Banados, C. Teitelboim and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992), arXiv:hepth/9204099.

30. S. Carlip, Class. Quantum Grav. 12, 2853 (1995), arXiv:gr-qc/9506079.

31. J. Weber, General Relativity and Gravitational Waves (Interscience Publishers, New

York, 1961).

32. T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995), arXiv:gr-qc/9504004.

33. E. P. Verlinde, J. High Energy Phys. 04, 029 (2011), arXiv:1001.0785.

34. S.-I. Sasa and Y. Yokokura, Phys. Rev. Lett. 116, 140601 (2016), arXiv:1509.08943.

35. R. J. Adler, J. D. Bjorken, P. Chen and J. S. Liu, Am. J. Phys. 73, 1148 (2005),

arXiv:gr-qc/0502040.

2150201-13

page 13

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