One-loop corrections for Schwarzschild black hole via 2D dilaton gravity
arXiv:gr-qc/9804083 · doi:10.1103/PhysRevD.59.084002
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.
19 pages, Latex, some corrections are made in Sect. 4
References in corpus (8)
- (Anti-)Evaporation of Schwarzschild-de Sitter Black Holes
- Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
- Hawking radiation by effective two-dimensional theories
- Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
- Trace Anomaly and Non-Local Effective Action for 2D Conformally Invariant Scalar Interacting with Dilaton
- One-Loop Effective Action for Spherical Scalar Field Collapse
- General Solution for Self-Gravitating Spherical Null Dust
- One-loop Effective Action for a Generic 2D Dilaton Gravity Theory
Cited by in corpus (18)
- Dilaton Gravity in Two Dimensions
- Quantum dilatonic gravity in d = 2,4 and 5 dimensions
- Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes
- One-Loop Corrected Thermodynamics of the Extremal and Non-Extremal Spinning BTZ Black Hole
- Hawking radiation by effective two-dimensional theories
- Metric Fluctuation Corrections to Hawking Radiation
- Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
- 4D quantum black hole physics from 2D models?
- Anomalies, effective action and Hawking temperatures of a Schwarzschild black hole in the isotropic coordinates
- Thermodynamics of Large AdS Black Holes
- Thermodynamics and Hawking radiation of five-dimensional rotating charged Gödel black holes
- Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
- Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
- Quantum corrections for (anti)-evaporating black hole
- Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
- Quantum corrections for BTZ black hole via 2D reduced model
- Unveiling horizons in quantum critical collapse
- Quantum Critical Collapse Abhors a Naked Singularity