On Black Holes in the Theory of Dilatonic Gravity Coupled to a Scalar Field

Abstract

Taking advantage of the representation of dilatonic gravity with the $R^2$-term under the form of low-derivative dilatonic gravity coupled to an additional scalar, we construct a general renormalizable model motivated by this theory. Exact black hole solutions are found for some special versions of the model, and their thermodynamical properties are described in detail. In particular, their horizons and temperatures are calculated. Finally, the corresponding one-loop effective action is obtained in the conformal gauge, and a number of its properties -including the construction of one-loop finite models-are briefly described.

9 pages, Latex

References in corpus (12)

• Singularity-free cosmological solutions of the superstring effective action
• Relating black holes in two and three dimensions
• Charged Black Holes in Two-Dimensional String Theory
• Conservation Laws and 2D Black Holes in Dilaton Gravity
• Scalar-Tensor Quantum Gravity in Two Dimensions
• Poincaré Gauge Theory for Gravitational Forces in (1+1) Dimensions
• The Causal Structure of Two-Dimensional Spacetimes
• Liouville Black Holes
• One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
• The Two-Dimensional Analogue of General Relativity
• One-loop Vilkovisky-DeWitt Counterterms for 2D Gravity plus Scalar Field Theory
• One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity

Cited by in corpus (13)

• Dilaton Gravity in Two Dimensions
• Singularity-free cosmological solutions in quadratic gravity
• Exact Path Integral Quantization of Generic 2-D Dilaton Gravity
• Thermodynamics of the two-dimensional black hole in the Teitelboim-Jackiw theory
• Hawking radiation and masses in generalized dilaton theories
• Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter
• Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
• Classification of static and homogeneous solutions in exactly solvable models of two-dimensional dilaton gravity
• Regular self-consistent geometries with infinite quantum backreaction in 2D dilaton gravity and black hole thermodynamics: unfamiliar features of familiar models
• Exactly solvable models in 2D semiclassical dilaton gravity and extremal black holes
• Backreaction Effects in the Two-Dimensional Dilaton Gravity
• Static and non-static quantum effects in two-dimensional dilaton gravity
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity