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Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon.…

High Energy Physics - Theory · Physics 2010-11-01 Sandip P. Trivedi

The quantum mechanics of black holes in generic 2-D dilaton gravity is considered. The Hamiltonian surface terms are derived for boundary conditions corresponding to an eternal black hole with slices on the interior ending on the horizon…

High Energy Physics - Theory · Physics 2009-10-30 A. Barvinsky , G. Kunstatter

We find a family of exact solutions to the semi-classical equations (including back-reaction) of two-dimensional dilaton gravity, describing infalling null matter that becomes outgoing and returns to infinity without forming a black hole.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Sukanta Bose , Leonard Parker , Yoav Peleg

We perform a fully relativistic analysis of odd-type linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations in four-dimensional spacetime. It is…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Tsutomu Kobayashi , Hayato Motohashi , Teruaki Suyama

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. C. Fabris , G. T. Marques

We consider the extremal limit of a black hole geometry of the Reissner-Nordstrom type and compute the quantum corrections to its entropy. Universally, the limiting geometry is the direct product of two 2-dimensional spaces and is…

High Energy Physics - Theory · Physics 2016-09-06 Robert B. Mann , Sergey N. Solodukhin

A new dyonic solution for black holes with spherically symmetric configurations in general relativity is obtained. We study black holes possessing electric and magnetic charges, and the source of the gravitational field is electromagnetic…

General Relativity and Quantum Cosmology · Physics 2019-09-17 S. I. Kruglov

This paper contains the second part of a two-part series on the stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. We continue our study of solutions to the linear wave equation on a suitable…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefanos Aretakis

In this work we obtain a numerical self-consistent spherical solution of the semiclassical Einstein equations representing the evaporation of a trapped region which initially has both an outer and an inner horizon. The classical matter…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Valentin Boyanov , David Hilditch , Artur Semião

The black hole of the widely used ordinary 2d--dilaton model (DBH) deviates from the Schwarzschild black hole (SBH) of General Relativity in one important feature: Whereas non-null extremals or geodesics show the expected incompleteness…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. O. Katanaev , W. Kummer , H. Liebl

Polymer models have been used to describe non-singular quantum black holes, where the classical singularity is replaced by a transition from a black hole to a white hole. In a previous letter, in the context of a uni-parametric model with…

General Relativity and Quantum Cosmology · Physics 2025-04-15 I. P. R. Baranov , H. A. Borges , F. C. Sobrinho , S. Carneiro

We discuss dyonic black hole solutions in the case of $f(R)$-gravity coupled with a dilaton and two gauge bosons. The study of such a model is highly motivated from string theory. Our Black Hole solutions are extensions of the one firstly…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Andrea Addazi

Through an illuminating thought experiment we demonstrate that the nonsingular "continued collapse" picture of a black hole is the only consistent and physical one. We provide a class exact solutions on the boundary of the space of physical…

General Relativity and Quantum Cosmology · Physics 2014-02-10 Clifford E Chafin

Solutions to gravity with quadratic Lagrangians are found for the simple case where the only nonconstant metric component is the lapse $N$ and the Riemann tensor takes the form $R^{t}_{.itj}=-k_{i}k_{j}, i,j=1,2,3$; thus these solutions…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

In this work, a new class of slowly rotating black hole solutions in dilaton gravity has been obtained where dilaton field is coupled with nonlinear Maxwell invariant. The background space-time is a stationary axisymmetric geometry. Here,…

High Energy Physics - Theory · Physics 2020-06-19 Younes Younesizadeh , Amir A. Ahmad , Ali Hassan Ahmed , Feyzollah Younesizadeh , Morad Ebrahimkhas

In $D$-dimensional dilaton gravitational model stationary Schwarzschild type solutions (centrally symmetrical solutions in vacuum) are obtained. They contain the two-parameter set of solutions: the first parameter is proportional to a…

High Energy Physics - Theory · Physics 2007-05-23 E. G. Vorontsova , G. S. Sharov

A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be…

High Energy Physics - Theory · Physics 2011-07-19 Y. Kazama , Y. Satoh , A. Tsuchiya

We prove a singularity theorem in semiclassical gravity without assuming global hyperbolicity or the null energy/curvature condition; the former is replaced by the weaker causality conditions of stable causality and past reflectivity, and…

High Energy Physics - Theory · Physics 2026-05-08 Netta Engelhardt , Ivri Nagar

It is logically possible that regularly evaporating black holes exist in nature. In fact, the prevalent theoretical view is that these are indeed the real objects behind the curtain in astrophysical scenarios. There are several proposals…

General Relativity and Quantum Cosmology · Physics 2015-02-10 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gil Jannes

A two-dimensional (2D) dilaton gravity model, whose static solutions have the same features of the Reissner-Nordstrom solutions, is obtained from the dimensional reduction of a four-dimensional (4D) string effective action invariant under…

General Relativity and Quantum Cosmology · Physics 2009-10-28 S. Monni , M. Cadoni