Abstract
Although ordinary laboratory thermodynamic systems are known to be homogeneous systems, black holes are different and cannot be considered within this class. Using the formalism of geometrothermodynamics, we show that black holes should be considered as quasi-homogeneous systems. As a consequence, we argue that coupling constants in generalized gravity theories should be considered as thermodynamic variables, giving raise to extended versions of black hole thermodynamics.
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REFERENCES
H. B. Callen, Thermodynamics and an Introduction to Thermostatics (Wiley, New York, 1985).
J. Bekenstein, Lett. Nuovo Cim. 4, 99 (1972).
S. W. Hawking, Comm. Math. Phys. 43, 199 (1975).
M. Heusler, Black Hole Uniqueness Theorems (Cambridge Univ. Press, Cambridge, UK, 1996).
H. Quevedo, J. Math. Phys. 48, 013506 (2007).
V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, New York, 1980).
H. Quevedo, M.N. Quevedo and A. Sánchez, Eur. Phys. J. C 77, 158 (2017).
L. Smarr, Phys. Rev. Lett. 30, 71 (1973).
P. C. W. Davies, Rep. Prog. Phys. 41, 1313 (1978).
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of Einstein’s Field Equations (Cambridge Univ. Press, Cambridge, UK, 2003).
M.M. Caldarelli, G. Cognola, and D. Klemm, Class. Quantum Grav. 17, 399 (2000).
D. Kastor, S. Ray, and J. Traschen, Class. Quantum Grav. 26, 195011 (2009).
M. Cvetic, G. W. Gibbons, D. Kubiznak, and C. N. Pope, Phys. Rev. D 84, 024037 (2011).
D. Kubiznak, R. B. Mann, and M. Teo, Class. Quantum Grav. 34, 063001 (2017).
ACKNOWLEDGMENTS
I thank the organizers of the 5th Zeldovich Meeting for the excellent organization and hospitality during the development of the Meeting in Yerevan.
Funding
This work was partially supported by UNAM-DGAPA-PAPIIT, grant no. 114520, Conacyt-Mexico, grant no. A1-S-31269.
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Paper presented at the Fifth Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Yerevan, Armenia on June 12–16, 2023. Published by the recommendation of the special editors: R. Ruffini, N. Sahakyan and G.V. Vereshchagin.
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Quevedo, H. Extended Black Hole Geometrothermodynamics. Astron. Rep. 67 (Suppl 2), S214–S218 (2023). https://doi.org/10.1134/S1063772923140160
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DOI: https://doi.org/10.1134/S1063772923140160