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We provide the full asymptotic description of the quasi-normal modes (resonances) in any strip of fixed width for Dirac fields in slowly rotating Kerr-Newman-de Sitter black holes. The resonances split in a way similar to the Zeeman effect.…

Spectral Theory · Mathematics 2016-06-14 Alexei Iantchenko

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 consider a scalar field with a Gauss-Bonnet-type coupling to the curvature in a curved space-time. For such a quadratic coupling to the curvature, the metric energy-momentum tensor does not contain derivatives of the metric of orders…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. V. Pavlov

We obtain semiclassical gravity solutions in the Poincar\'e fundamental domain of $(3+1)$-dimensional Anti-de Sitter spacetime, PAdS$_4$, with a (massive or massless) Klein-Gordon field (with possibly non-trivial curvature coupling) with…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Benito A. Juárez-Aubry , Milton C. Mamani-Leqque

We consider massive scalar field theory on static four-dimensional space-times with horizons. We study the near horizon behaviour of the quantum expectation values of the stress-energy tensor operator for thermal state with generic…

High Energy Physics - Theory · Physics 2022-10-05 K. V. Bazarov

Having in mind applications to gravitational wave theory (in connection with the radiation reaction problem), stochastic semiclassical gravity (in connection with the regularization of the noise kernel) and quantum field theory in…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Yves Décanini , Antoine Folacci

We propose that the consistent field renormalization of gravity requires a specific Weyl transformation of the metric tensor. As a consequence, proper length and time, as well as energy and momentum, become functions of scale. We estimate…

General Physics · Physics 2018-08-08 D. N. Coumbe

Four-dimensional Kerr-Schild (KS) geometry displays remarkable relationships with quantum world and theory of superstrings. In particular, the Kerr-Newman (KN) solution has gyromagnetic ratio g = 2, as that of the Dirac electron and…

General Physics · Physics 2014-10-10 Alexander Burinskii

The article proposes an amendment to the relativistic continuum mechanics which introduces the relationship between density tensors and the curvature of spacetime. The resulting formulation of a symmetric stress-energy tensor for a system…

General Physics · Physics 2023-12-19 Piotr Ogonowski

We demonstrate the separability of the massive vector (Proca) field equation in general Kerr-NUT-(A)dS black hole spacetimes in any number of dimensions, filling a long-standing gap in the literature. The obtained separated equations are…

High Energy Physics - Theory · Physics 2018-06-13 Valeri P. Frolov , Pavel Krtouš , David Kubizňák , Jorge E. Santos

We propose a covariant definition of an inertia tensor on spatial hypersurfaces in general relativity, constructed via integrals of geodesic distance functions using the exponential map. In the ADM 3+1 decomposition, we consider a spacelike…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Ilias Kynigalakis

We consider the membrane viewpoint a l\`a Parikh-Wilczek on the Kerr solution for a rotating black hole. Computing the stress-energy tensor of a close-to-the-horizon stretched membrane and comparing it to the stress-tensor of a viscous…

High Energy Physics - Theory · Physics 2023-01-05 A. M. Arslanaliev , A. J. Nurmagambetov

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute…

High Energy Physics - Theory · Physics 2024-04-16 Thomas Morley , Sivakumar Namasivayam , Elizabeth Winstanley

Extending tensor models at the field theoretical level, tensor field theories are nonlocal quantum field theories with Feynman graphs identified with simplicial complexes. They become relevant for addressing quantum topology and geometry in…

High Energy Physics - Theory · Physics 2016-02-02 Joseph Ben Geloun

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Changjun Gao

We present the details for the covariant renormalization of the stress tensor for vacuum tensor perturbations at the level of the effective action, adopting Hadamard regularization techniques to isolate short distance divergences and gauge…

High Energy Physics - Theory · Physics 2024-03-26 Anna Negro , Subodh P. Patil

We review our recent results on the renormalization procedure for a free quantum scalar field with modified dispersion relations in curved spacetimes. For dispersion relations containing up to $2s$ powers of the spatial momentum, the…

High Energy Physics - Theory · Physics 2015-05-13 Diana López Nacir , Francisco D. Mazzitelli

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

We find the quasinormal modes of the charged scalar and Dirac fields in the background of the rotating charged black holes, described by the Kerr-Newman-de Sitter solution. The dependence of the quasinormal spectrum upon the black hole…

High Energy Physics - Theory · Physics 2014-10-13 R. A. Konoplya , A. Zhidenko

An exact charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters ``$ $the gravitational mass $M$, the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Gamal G. L. Nashed