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One-loop corrections for Schwarzschild black hole via 2D dilaton gravity

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arxiv gr-qc/9804083 v2 pith:32SPR67Z submitted 1998-04-30 gr-qc hep-th

Maja Buric , Voja Radovanovic , Aleksandar Mikovic This is my paper · ORCID
classification gr-qchep-th
keywords vacuumblackcorrectionscorrespondinggravityholeactioncase
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We study quantum corrections for the Schwarzshild black hole by considering it as a vacuum solution of a 2D dilaton gravity theory obtained by spherical reduction of 4D gravity coupled with matter. We find perturbatively the vacuum solution for the standard one-loop effective action in the case of null-dust matter and in the case of minimally coupled scalar field. The corresponding state is in both cases 2D Hartle-Hawking vacuum, and we evaluate the corresponding quantum corrections for the thermodynamical parameters of the black hole. We also find that the standard effective action does not allow boundary conditions corresponding to a 4D Hartle-Hawking vacuum state.

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Cited by 2 Pith papers

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    Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.

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    hep-th 2026-07 conditional novelty 4.0 of 10

    Wald-like Noether charge of the DREH plus Polyakov-Liouville action yields the island generalized entropy and unitary Page curves for eternal and quasi-stationary evaporating black holes.

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