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S. W. Hawking and D. N. Page, “Thermodynamics of Black Holes in anti-De Sitter Space,” Commun. Math. Phys
1983
Cited alongside, same era.
P. R. Brady, J. Louko, and E. Poisson, “Stability of a shell around a black hole,” Phys. Rev. D
1991
Cited alongside, same era.
M. Banados, C. Teitelboim, and J. Zanelli, “Black hole entropy and the dimensional continuation of the Gauss-Bonnet theorem,” Phys. Rev. Lett
1994
Cited alongside, same era.
T. Banks, “Cosmological breaking of supersymmetry?,” Int. J. Mod. Phys. A
2001
Cited alongside, same era.
T. Banks and W. Fischler, “Holographic Space-time, Newton‘s Law, and the Dynamics of Horizons,” arXiv:2003.03637 [hep-th]
Original
2003
Cited alongside, same era.

T. Banks, B. Fiol, and A. Morisse, “Towards a quantum theory of de Sitter space,” JHEP
2006
Later among the works it cites.
T. Banks, P. Draper, and S. Farkas, “Path Integrals for Causal Diamonds and the Covariant Entropy Principle,” Phys. Rev. D
Original
2008
Later among the works it cites.
T. Jacobson and M. Visser, “Gravitational Thermodynamics of Causal Diamonds in (A)dS,” SciPost Phys
Original
2019
Later among the works it cites.
A. Svesko, E. Verheijden, E. P. Verlinde, and M. R. Visser, “Quasi-local energy and microcanonical entropy in two-dimensional nearly de sitter gravity,” 2022
2022
Closest in time.
J. W. York, Jr., “Black hole thermodynamics and the Euclidean Einstein action,” Phys. Rev. D
2099
Closest in time.

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2022

Draper, Patrick, Farkas, Szilard

Schwarzschild-de Sitter (SdS) black holes do not admit a completely smooth Euclidean continuation.

We discuss some modifications of the gravitational path integral that give Euclidean SdS a semiclassical equilibrium interpretation.
First we consider "gravity in a cavity," defining the canonical ensemble in a box that excises one horizon.
However, this standard approach does not work for positive cosmological constant: the solution of lowest free energy has a negative heat capacity, which is inconsistent if it is to provide the leading semiclassical contribution to a canonical partition function.

S. W. Hawking and D. N. Page, “Thermodynamics of Black Holes in anti-De Sitter Space,” Commun. Math. Phys
1983
Cited alongside, same era.
P. R. Brady, J. Louko, and E. Poisson, “Stability of a shell around a black hole,” Phys. Rev. D
1991
Cited alongside, same era.
M. Banados, C. Teitelboim, and J. Zanelli, “Black hole entropy and the dimensional continuation of the Gauss-Bonnet theorem,” Phys. Rev. Lett
1994
Cited alongside, same era.
T. Banks, “Cosmological breaking of supersymmetry?,” Int. J. Mod. Phys. A
2001
Cited alongside, same era.
T. Banks and W. Fischler, “Holographic Space-time, Newton‘s Law, and the Dynamics of Horizons,” arXiv:2003.03637 [hep-th]
Original
2003
Cited alongside, same era.

T. Banks, B. Fiol, and A. Morisse, “Towards a quantum theory of de Sitter space,” JHEP
2006
Later among the works it cites.
T. Banks, P. Draper, and S. Farkas, “Path Integrals for Causal Diamonds and the Covariant Entropy Principle,” Phys. Rev. D
Original
2008
Later among the works it cites.
T. Jacobson and M. Visser, “Gravitational Thermodynamics of Causal Diamonds in (A)dS,” SciPost Phys
Original
2019
Later among the works it cites.
A. Svesko, E. Verheijden, E. P. Verlinde, and M. R. Visser, “Quasi-local energy and microcanonical entropy in two-dimensional nearly de sitter gravity,” 2022
2022
Closest in time.
J. W. York, Jr., “Black hole thermodynamics and the Euclidean Einstein action,” Phys. Rev. D
2099
Closest in time.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

Cited in the paper.

Cited in the paper.

P. Draper and S. Farkas, “de Sitter Black Holes as Constrained States in the Euclidean Path Integral,” (to appear)

Cited in the paper.