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The quantum induced stress tensor of 3+1-dimensional Einstein gravity, with conformally coupled matter, is studied in an effective field theory approach. In this context, Riegert's non-local effective action is sufficient to reproduce the…

High Energy Physics - Theory · Physics 2025-11-10 Bing-Nan Liu , David A. Lowe , Larus Thorlacius

The intricacies of black hole ringdown analysis are amplified by the absence of a complete set of orthogonal basis functions for quasinormal modes. Although damped sinusoids effectively fit the ringdown signals from binary black hole…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Hengrui Zhu , Justin L. Ripley , Alejandro Cárdenas-Avendaño , Frans Pretorius

In this paper we present a spectral decomposition of solutions to relativistic wave equations described on horizon penetrating hyperboloidal slices within a given Schwarzschild-black-hole background. The wave equa- tion in question is…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Marcus Ansorg , Rodrigo Panosso Macedo

The stress-energy tensor of a quantized scalar field is computed in the reduced two-dimensional charged dilatonic black hole spacetime of Garfinkle, Horowitz, and Strominger. In order for the stress-energy of quantized fields to be regular…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daniel J. Loranz , William A. Hiscock

We compute the quasinormal frequencies of $d$-dimensional spherically symmetric black holes with leading string $\alpha'$ corrections for tensorial gravitational perturbations in the highly damped regime. We solve perturbatively the master…

High Energy Physics - Theory · Physics 2021-08-20 Filipe Moura , João Rodrigues

We present a general method of computing corrections to the extremality bound and entropy of Kerr-Newman black holes due to an arbitrary perturbation using the Iyer-Wald formalism. In this method, corrections to the extremality bound are…

High Energy Physics - Theory · Physics 2022-04-18 Lars Aalsma

Polymer quantization is a non-standard representation of the quantum mechanics that inspired by loop quantum gravity. To study the associated statistical mechanics, one needs to find microstates' energies which are eigenvalues of the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 M. A. Gorji , Kourosh Nozari , B. Vakili

We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by…

High Energy Physics - Theory · Physics 2009-11-10 Suphot Musiri , George Siopsis

Hawking radiation remains a crucial theoretical prediction of semi-classical gravity and is considered one of the critical tests for a model of quantum gravity. However, Hawking's original derivation used quantum field theory on a fixed…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Manu Srivastava , S. Shankaranarayanan

Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Sofiane Aoudia , Alessandro D. A. M. Spallicci

We discuss the opportunity that the singularity inside a Schwarzschild black hole could be replaced by a regular bounce, described as a regular minimum of the spherical radius (instead of zero) and a regular maximum of the longitudinal…

General Relativity and Quantum Cosmology · Physics 2020-10-20 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordstr\"om black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state,…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Maria Alberti , Jochen Zahn

The renormalization of a scalar field theory with a quartic self-coupling (a $\lambda \phi^4$ theory) via adiabatic regularization in a general Robertson-Walker spacetime is discussed. The adiabatic counterterms are presented in a way that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Carmen Molina-Paris , Paul R. Anderson , Stephen A. Ramsey

We investigate the spontaneous scalarization of generic, static, and spherically symmetric regular black holes supported by nonlinear electrodynamics. Starting from an arbitrary seed metric, we employ the P-dual formalism to reconstruct the…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Ernesto Contreras , Mikaela Carrasco-Hidalgo , Pedro Bargueño , Arthur G. Suvorov

The second-order term of the approximate stress-energy tensor of the quantized massive scalar field in the Bertotti-Robinson and Reissner- Nordstr\"om spacetimes is constructed within the framework of the Schwinger-DeWitt method. It is…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Jerzy Matyjasek , Dariusz Tryniecki

Based on the work of Chen, L\"u and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$.…

High Energy Physics - Theory · Physics 2011-07-06 H. T. Cho , Jason Doukas , Wade Naylor , A. S. Cornell

We present a fully analytic treatment of Schwarzschild--de~Sitter (SdS) black-hole evaporation in two-dimensional dilaton gravity with anomaly-induced backreaction. Starting from the spherical reduction of four-dimensional Einstein gravity…

High Energy Physics - Theory · Physics 2026-01-26 Damien A. Easson

In this article we show that the asymptotic iteration method (AIM) allows one to numerically find the quasinormal modes of Schwarzschild and Schwarzschild de Sitter (SdS) black holes. An added benefit of the method is that it can also be…

General Relativity and Quantum Cosmology · Physics 2011-04-11 H. T. Cho , A. S. Cornell , Jason Doukas , Wade Naylor

In this paper we present a new approach to the inverse problem for relativistic stars using quasinormal modes and the piecewise polytropic parametrization of the equation of state. The algorithm is a piecewise polytropic meshing and…

General Relativity and Quantum Cosmology · Physics 2019-05-10 Juan Mena-Fernández , Luis Manuel González-Romero

This manuscript is a lightly reformatted version of my 2017 PhD thesis. I am posting it on arXiv at the request of my advisor, Sergiu Klainerman, who noted that it has been useful to some students. The content largely reflects the thesis in…

Analysis of PDEs · Mathematics 2026-03-17 John Stogin