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

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abstract

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.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Unveiling horizons in quantum critical collapse

gr-qc · 2025-09-03 · unverdicted · novelty 6.0 · 2 refs

Semiclassical one-loop analysis of solvable near-critical collapse solutions shows quantum corrections selecting a Boulware-like state and producing a growing mode that yields a finite mass gap and a transition to Type I behavior, enforcing weak cosmic censorship.

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  • Unveiling horizons in quantum critical collapse gr-qc · 2025-09-03 · unverdicted · none · ref 105 · 2 links · internal anchor

    Semiclassical one-loop analysis of solvable near-critical collapse solutions shows quantum corrections selecting a Boulware-like state and producing a growing mode that yields a finite mass gap and a transition to Type I behavior, enforcing weak cosmic censorship.