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This work resolves a longstanding tension between the physically-expected stability of the microcanonical ensemble for gravitating systems and the fact that the known negative mode of the asymptotically flat Schwarzschild black hole decays too rapidly at infinity to affect the ADM energy boundary term at infinity.
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2001
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S. Gratton, A. Lewis and N. Turok, Closed universes from cosmological instantons , Phys. Rev. D 65
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V. E. Hubeny and M. Rangamani, Unstable horizons , JHEP 05
2002
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2002
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N. Benjamin, S. Collier and A. Maloney, Pure Gravity and Conical Defects , JHEP 09
2004
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J. B. Hartle and K. Schleich, The Conformal Rotation in Linearised Gravity , in Quantum Field Theory and Quantum Statistics (C. J. I. I. A. Batalin and G. A. Vilkovisky, eds.), pp. 67–87, 4, 1987 · 2004
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M. Headrick and T. Wiseman, Ricci flow and black holes , Class. Quant. Grav. 23
2006
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2015
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2015
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O. J. C. Dias, J. E. Santos and B. Way, Lumpy AdS 5
2015
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2015
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2016
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2016
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J. Feldbrugge, J.-L. Lehners and N. Turok, Lorentzian Quantum Cosmology , Phys. Rev. D 95
2017
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J. Feldbrugge, J.-L. Lehners and N. Turok, No smooth beginning for spacetime , Phys. Rev. Lett. 119
2017
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D. Marolf, Microcanonical Path Integrals and the Holography of small Black Hole Interiors , JHEP 09
2018
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2018
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B. Cardona and P. Figueras, Critical lumpy black holes in AdS p × S q {}_{p}\times S^{q} , JHEP 21
2020
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D. Marolf and J. E. Santos, The Canonical Ensemble Reloaded: The Complex-Stability of Euclidean quantum gravity for Black Holes in a Box , 2022
2022
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