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Starting from the eigenvalue equation for the mass of a black hole derived by M\"akel\"a and Repo, we show that, by reparametrizing the radial coordinate and the wave function, it can be rewritten as the eigenvalue equation of a quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Wilfredo Yupanqui Carpio , Octavio Obregón

The renormalised value of $<\phi^2>$ is calculated for a massless, conformally coupled scalar field in the Hartle-Hawking vacuum state. This calculation is a first step towards the calculation of the gravitational back reaction of the field…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Andrew DeBenedictis

We report here on a new method for calculating the renormalized stress-energy tensor (RSET) in black-hole (BH) spacetimes, which should also be applicable to dynamical BHs and to spinning BHs. This new method only requires the spacetime to…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Adam Levi , Amos Ori

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with $p_{r} = -\rho$ which resembles the Maxwell stress tensor at $r >>…

General Relativity and Quantum Cosmology · Physics 2015-11-02 Hristu Culetu

We study spherically-symmetric solutions to a modified Einstein-Hilbert action with Renormalization Group scale-dependent couplings, inspired by Weinberg's Asymptotic Safety scenario for Quantum Gravity. The Renormalization Group scale is…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Johanna N. Borissova , Aaron Held , Niayesh Afshordi

Expectation values of one-loop renormalized thermal equilibrium stress-energy tensors of free conformal scalars, spin-${1 \over 2}$ fermions and U(1) gauge fields on a Schwarzschild black hole background are used as sources in the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 David Hochberg , Thomas W. Kephart , James W. York,

Black holes modeled by the Kerr metric are not semiclassically self-consistent at or below the inner horizon. The renormalized stress-energy tensor (RSET) of a scalar quantum field in the Unruh state has been found to diverge at the Kerr…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Tyler McMaken

Analytic approximations for the stress-energy of quantized fields in the Hartle-Hawking state in static black hole spacetimes predict divergences on the event horizon of the black hole for a number of important cases. Such divergences, if…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Paul R. Anderson , Mathew Binkley , Hector Calderon , William A. Hiscock , Emil Mottola , Ruslan Vaulin

In this letter, we develop a unified semiclassical framework for the thermodynamics and quantization of the Reissner--Nordstr\"om (RN) black hole (BH) based on the Misner--Sharp--Hernandez (MSH) mass. Treating the quasi-local horizon…

General Relativity and Quantum Cosmology · Physics 2026-02-27 S. Jalalzadeh , H. Moradpour

Renormalization of physical quantities for quantum field theories in curved spacetimes can be achieved via the consistent subtraction of counterterms within a regularization scheme such as a point-splitting method. Pragmatic mode-sum…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Noa Zilberman , Marc Casals , Adam Levi , Amos Ori , Adrian C. Ottewill

Black-hole quasinormal modes have been the subject of much recent attention, with the hope that these oscillation frequencies may shed some light on the elusive theory of quantum gravity. We study {\it analytically} the asymptotic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shahar Hod

We calculate the thermal renormalized energy-momentum tensor components of a massless scalar field, leading to trace anomaly, on a $(1+1)$ dimensional static black hole spacetime. Using these, the energy density and flux, seen by both…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Saurav Samanta , Bibhas Ranjan Majhi

We study the nature of the inner Cauchy horizon of a Reissner-Nordstr\"om black hole in a quantum context by means of the horizon wave-function obtained from modelling the electrically charged source as a Gaussian wave-function. Our main…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Roberto Casadio , Octavian Micu , Dejan Stojkovic

We consider a minimally coupled, massless quantum scalar field $\hat{\Phi}$ propagating in the background geometry of a four-dimensional black hole formed by the collapse of a spherical thin null shell, with a Minkowski interior and a…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Amos Ori , Noa Zilberman

We consider a quantum field which is in a Hartle-Hawking state propagating in a general spherically symmetric black hole space-time. We make use of uniform approximations to the radial equation to calculate the components of the stress…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Cormac Breen , Adrian C. Ottewill

The asymptotic quasinormal frequencies of the brane-localized $(4+n)$-dimensional black hole are computed. Since the induced metric on the brane is not an exact vacuum solution of the Einstein equation defined on the brane, the real parts…

High Energy Physics - Theory · Physics 2008-11-26 D. K. Park

We consider a quantum scalar field on the classical background of an asymptotically anti-de Sitter black hole and the backreaction the field's stress-energy tensor induces on the black hole geometry. The backreaction is computed by solving…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Peter Taylor , Cormac Breen

The Hadamard renormalization prescription is used to derive a two dimensional analog of the renormalized stress tensor for a minimally coupled scalar field in Schwarzschild-de Sitter space time. In the two dimensional analog the minimal…

High Energy Physics - Theory · Physics 2014-11-18 H. Ghafarnejad , H. Salehi

In a recent series of papers we developed a first-principle and gauge invariant approach to black hole perturbation theory valid to any order. We included back reaction effects to tackle the situation of evaporating black holes and obtained…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Jonas Neuser , Thomas Thiemann

We study the renormalized stress-energy tensor (RSET) for static quantum states on (n+1)-dimensional, static, spherically symmetric black holes. By solving the conservation equations, we are able to write the stress-energy tensor in terms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dean Morgan , Stuart Thom , Elizabeth Winstanley , Phil M. Young