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In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf. Our prescription involves the effective action with self-action term for boundary…

High Energy Physics - Theory · Physics 2023-06-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

The perturbative solutions to the semiclassical Einstein field equations describing spherically-symmetric and static lukewarm black hole are constructed. The source term is composed of the (classical) stress-energy tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Jerzy Matyjasek , Katarzyna Zwierzchowska

Semiclassical gravity is investigated in a large class of asymptotically flat, static, spherically symmetric spacetimes including those containing static stars, black holes, and wormholes. Specifically the stress-energy tensors of massless…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Eric D. Carlson , Paul R. Anderson , Alessandro Fabbri , Serena Fagnocchi , William H. Hirsch , Sarah A. Klyap

The in-in effective action formalism is used to derive the semiclassical correction to Einstein's equations due to a massless scalar quantum field conformally coupled to small gravitational perturbations in spatially flat cosmological…

General Relativity and Quantum Cosmology · Physics 2009-07-10 Antonio Campos , Enric Verdaguer

We construct an analytic model of static semiclassical backreaction for a Schwarzschild black hole in the Hartle--Hawking state enclosed within a finite spherical cavity. Using a minimal renormalized stress--energy tensor consistent with…

General Relativity and Quantum Cosmology · Physics 2026-04-14 G. G. L. Nashed , Alnadhief H. A. Alfedeel , Tiberiu Harko

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

In the first part of this paper, we show that the semiclassical Einstein-Langevin equation, introduced in the framework of a stochastic generalization of semiclassical gravity to describe the back reaction of matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

We present a systematic study of spherically symmetric vacuum solutions of the IKKT matrix model, within the framework of semi-classical covariant quantum geometries. All asymptotically flat solutions of the equations of motion of the frame…

High Energy Physics - Theory · Physics 2022-06-15 Yuhma Asano , Harold C. Steinacker

We consider solutions of the semi-classical Einstein-Klein-Gordon system with a cosmological constant $\Lambda\in\mathbb{R}$, where the spacetime is given by Einstein's static metric on $\mathbb{R}\times\mathbb{S}^3$ with a round sphere of…

Mathematical Physics · Physics 2021-10-22 Ko Sanders

We consider the backreaction problem of a quantized minimally coupled massless scalar field in cosmology. The adiabatically regularized stress-energy tensor in a general Friedmann-Robertson-Walker background is approximately evaluated by…

General Relativity and Quantum Cosmology · Physics 2013-06-04 Ali Kaya , Merve Tarman

We investigate the quasinormal modes of a test massless, minimally coupled scalar field on a static and spherically symmetric black hole in the scalar-tensor theory with field derivative coupling to the Einstein tensor, which is a part of…

General Relativity and Quantum Cosmology · Physics 2014-08-26 Masato Minamitsuji

In this paper we shall discuss the backreaction of a massive quantum scalar field on the curvature, the latter treated as a classical field. Furthermore, we shall deal with this problem in the realm of cosmological spacetimes by analyzing…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Nicola Pinamonti

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

In the context of semiclassical gravity, the semiclassical Einstein equation is often invoked when backreaction of quantum matter/fields on the spacetime is at stake. It is expected to hold when quantum fluctuations are small. Yet, it is…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Gustavo Schranck Habermann , Daniel A. Turolla Vanzella

First-order semiclassical perturbations to the Schwarzschild black hole geometry are studied within the black hole interior. The source of the perturbations is taken to be the vacuum stress-energy of quantized scalar, spinor, and vector…

General Relativity and Quantum Cosmology · Physics 2014-11-17 William A. Hiscock , Shane L. Larson , Paul R. Anderson

Homogeneous relaxation is a ubiquitous phenomenon in semiclassical kinetic theories where the quasiparticles are distributed uniformly in space, and the equilibration involves only their velocity distribution. For such solutions, the…

High Energy Physics - Theory · Physics 2015-03-19 Ramakrishnan Iyer , Ayan Mukhopadhyay

The first order corrections to the geometry of the (2+1)-dimensional black hole due to back-reaction of a massless conformal scalar field are computed. The renormalized stress energy tensor used as the source of Einstein equations is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Cristian Martinez , Jorge Zanelli

We find a self-consistent pp-gravitational shock wave solution to the semiclassical Einstein equations resulting from the $1/N$ approach to the effective action. We model the renormalized matter stress-energy-momentum tensor by $N$ massless…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Carlos O. Lousto , Francisco D. Mazzitelli

In this paper, we describe an extremely efficient method for computing the renormalized stress-energy tensor of a quantum scalar field in spherically-symmetric black hole spacetimes. The method applies to a scalar field with arbitrary field…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Peter Taylor , Cormac Breen , Adrian Ottewill

This work analyzes the asymptotic behaviors of the asymptotically flat solutions of Einstein-\ae ther theory in the linear case. The vacuum solutions for the tensor, vector, and scalar modes are first obtained, written as sums of various…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Shaoqi Hou , Anzhong Wang , Zong-Hong Zhu