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

Aleksandar Mikovic; Maja Buric; Voja Radovanovic

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

Maja Buric, Voja Radovanovic, Aleksandar Mikovic

General Relativity and Quantum Cosmology · Submitted 30 Apr 1998

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The authors' main claim 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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arXiv IDgr-qc/9804083 (version 2)

Pith ID32SPR67Z, Pith's permanent record of this paper and its review

CitationAleksandar Mikovic, Maja Buric, Voja Radovanovic. "One-loop corrections for Schwarzschild black hole via 2D dilaton gravity." arXiv:gr-qc/9804083 (1998). https://pith.science/paper/32SPR67Z

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.90 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.18 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

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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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	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.	contribution 0.71	0.85	0.06	asserted 0.98
s1	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.	result 0.52	0.96	0.13	asserted 1.00
s2	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.	result 0.92	0.95	0.24	asserted 1.00
s3	We also find that the standard effective action does not allow boundary conditions corresponding to a 4D Hartle-Hawking vacuum state.	result 0.89	0.94	0.29	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original 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.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Unveiling horizons in quantum critical collapse
gr-qc 2025-09 unverdicted novelty 7.0 of 10

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.
Wald-like entropy and Islands in Dimensionally Reduced Einstein-Hilbert Gravity
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.
Dilaton Gravity in Two Dimensions
hep-th 2002-04 accept novelty 2.0 of 10

Two-dimensional dilaton gravity can be quantized exactly in its geometric sector, with matter handled perturbatively, and this review assembles the supporting results into a coherent framework.

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6 arXiv papers cite this in 13 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Uses its method or tool 1 paper

We can express the back-reaction term in local form using auxiliary fields $ψ$ and $χ$ [ref] : S_q = - N/12 ∫d^2x √(-g) ( R(ψ- 6 χ- 6 lnr) + 1/2 (∇ψ)^2 -6 ∇ψ∇χ- 6 ψ(∇r)^2/r^2 )

Thermodynamics of Large AdS Black Holes · One-loop action · 0.95

Cites it as background 4 papers

The technical details can be found in [ref] and [ref] .

Page Curve for an Evaporating Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity · DREH model and the evaporating black hole solution · 0.96
The resulting two-dimensional theory features a non-minimally dilaton-coupled matter sector, which has been the subject of extensive study [ref] , owing to its strong physical motivation from higher-dimensional origins.

Unveiling horizons in quantum critical collapse · Main methods, results, and their implications · 0.84
To name a few, using auxiliary fields for the one-loop action to solve the appropriate boundary conditions [ref] , the effective action formalism based on perturbative heat kernel [ref] , canonical quantization by solving the field equations [ref] , and a generalized transformation law for the normal-ordered stress tensor [ref] .

Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation · Introduction · 0.84

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