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Related papers: Pragmatic mode-sum regularization method for semic…

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We consider a quantum field which is in a Hartle-Hawking state propagating in a spherically symmetric black hole space-time. We calculate the components of the stress tensor, renormalized using the Hadamard form of the Green's function, in…

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

An approximate form for the vacuum averaged stress-energy tensor of a conformal spin-2 quantum field on a black hole background is employed as a source term in the semiclassical Einstein equations. Analytic corrections to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Sergey V. Sushkov

In this work we explore a numerical technique, based on the spherical harmonic decomposition and the discretization of the radial coordinate through \v{C}eby\v{s}\"ev polynomial interpolation, for the computation of quasi-bound states of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Giuseppe Lingetti

Recently, we proposed a method for calculating the ``radiation reaction'' self-force exerted on a charged particle moving in a strong field orbit in a black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Leor Barack

We calculate the renormalized vacuum polarization and stress tensor for a massless, arbitrarily coupled scalar field in the Hartle-Hawking vacuum state on the horizon of a Schwarzschild black hole threaded by an infinte straight cosmic…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Adrian C. Ottewill , Peter Taylor

We present a new mode-sum prescription for the efficient computation of renormalized expectation values for a massive, charged, quantum scalar field propagating on a curved space-time background. Our method is applicable to any static,…

High Energy Physics - Theory · Physics 2025-02-05 Cormac Breen , George Montagnon , Peter Taylor , Elizabeth Winstanley

We conclude the rigorous analysis of a previous paper concerning the relation between the (Euclidean) point-splitting approach and the local $\zeta$-function procedure to renormalize physical quantities at one-loop in (Euclidean) QFT in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Valter Moretti

The aim of this paper is to present a general way to calculate quasi-normal modes (QNM) of the Teukolsky equation for higher dimensional (d > 4) Kerr spacetime with compactified extra dimensions. In order to do so, we develop a formalism…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Mattia Villani

In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Jhonny A. A. Ruiz , A. F. Santos

A method for computing the stress-energy tensor for the quantized, massless, spin 1/2 field in a general static spherically symmetric spacetime is presented. The field can be in a zero temperature state or a non-zero temperature thermal…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Peter B. Groves , Paul R. Anderson , Eric D. Carlson

We study black hole formation and evaporation in a four-dimensional semiclassical model that preserves diffeomorphism invariance and reproduces the one-loop trace anomaly. Solving the quantum-corrected Einstein equations for the collapse of…

High Energy Physics - Theory · Physics 2026-05-04 David A. Lowe , Larus Thorlacius

An improved method is given for the computation of the stress-energy tensor of a quantized scalar field using adiabatic regularization. The method works for fields with arbitrary mass and curvature coupling in Robertson-Walker spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Paul R. Anderson , Wayne Eaker

We study the generalization of the mass function of classes of regular spherically symmetric black holes solutions of in $ 4D $ coming from the coupling of General Relativity with Non-linear Electrodynamics, through the requirement of the…

General Physics · Physics 2018-03-05 Manuel E. Rodrigues , Ednaldo L. B. Junior , Marcos V. de S. Silva

We present a method for calculating the self-force (the ``radiation reaction force'') acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Leor Barack , Amos Ori

We obtain renormalized stress tensor of a mass-less, charge-less dynamical quantum scalar field, minimally coupled with a spherically symmetric static Lukewarm black hole. In two dimensional analog the minimal coupling reduces to the…

General Physics · Physics 2013-05-30 H. Ghaffarnejad , H. Neyad , M. A. Mojahedi

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

We present a novel approach to the numerical computation of quasi-normal modes, based on the first-order (in radial derivative) formulation of the equations of motion and using a matrix version of the continued fraction method. This…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Hugo Roussille , David Langlois , Karim Noui

We calculate the quasinormal modes (QNM) frequencies of a test massless scalar field and an electromagnetic field around static black holes in $f(T)$ gravity. Focusing on quadratic $f(T)$ modifications, which is a good approximation for…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Yaqi Zhao , Xin Ren , Amara Ilyas , Emmanuel N. Saridakis , Yi-Fu Cai

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

The equations of motion of a point particle interacting with its own field are defined in terms of a certain regularized self-field. Two of the leading methods for computing this regularized field are the mode-sum and effective-source…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Niels Warburton , Barry Wardell