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The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

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

We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Patrick R Brady , Adrian C Ottewill

Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle \phi^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Paul R. Anderson , Amanda Peake , Shohreh Gholizadeh Siahmazgi

Quantum energy inequalities (QEIs) are lower bounds on the averaged energy density of a quantum field. They have been proved for various field theories in general curved spacetimes but the explicit lower bound is not easily calculated in…

High Energy Physics - Theory · Physics 2023-08-09 Christopher J. Fewster , Jacob Thompson

It was recently advanced the argument that Unruh effect emerges from the study of quantum field theory in quantum space-time. Quantum space-time is identified with the Hilbert space of a new kind of quantum fields, the accelerated fields,…

General Physics · Physics 2018-12-06 Vasileios I. Kiosses

We study the quantum metric tensor and its scalar curvature for a particular version of the Lipkin-Meshkov-Glick model. We build the classical Hamiltonian using Bloch coherent states and find its stationary points. They exhibit the presence…

Quantum field theory on rotating black hole spacetimes is plagued with technical difficulties. Here, we describe a general method to renormalize and compute the vacuum polarization of a quantum field in the Hartle-Hawking state on rotating…

General Relativity and Quantum Cosmology · Physics 2015-05-06 Hugo R. C. Ferreira

We calculate the expectation values of the stress-energy bitensor defined at two different spacetime points $x, x'$ of a massless, minimally coupled scalar field with respect to a quantum state at finite temperature $T$ in a flat…

High Energy Physics - Theory · Physics 2016-03-23 H. T. Cho , B. L. Hu

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Balbinot , A. Fabbri

Quantum fluctuations in the background geometry of a black hole are shown to affect the propagation of matter states falling into the black hole in a foliation that corresponds to observations purely outside the horizon. A state that starts…

High Energy Physics - Theory · Physics 2014-11-18 Gilad Lifschytz , Miguel E. Ortiz

The expectation value of the energy-momentum tensor and the Hawking flux of a scalar field on a Schwarzschild spacetime is calculated using the zeta-function regularisation of the heat kernel. In particular, massless particles are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Hofmann

We study the following problem: Given initial data on a compact Cauchy horizon, does there exist a unique solution to wave equations on the globally hyperbolic region? Our main results apply to any spacetime satisfying the null energy…

Analysis of PDEs · Mathematics 2022-02-09 Oliver Lindblad Petersen

We present a space--time model of the collision of two homogeneous, plane impulsive gravitational waves (each having a delta function profile) propagating in a vacuum before collision and for which the post collision space--time has…

General Relativity and Quantum Cosmology · Physics 2015-08-26 C. Barrabès , P. A. Hogan

Building on general formulas obtained from the approximate renormalized effective action, the stress-energy tensor of the quantized massive spinor and vector fields in the spacetime of the regular black hole is constructed. Such a black…

High Energy Physics - Theory · Physics 2008-02-28 Jerzy Matyjasek

We explore how quantum properties of spacetime, specifically the curvature of momentum space, can backreact on classical gravity within a tractable semiclassical (2+1)-dimensional framework with a negative cosmological constant. Motivated…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Partha Nandi , Mainak Roy , Langa Horoto , Frederik G. Scholtz , Biswajit Chakraborty

We identify a region of F(R)=R^{N} gravity without external sources which is isometric to the spacetime of colliding plane waves (CPW). From the derived curvature sources, N (N>1) measures the strength (i.e. the charge) of the source. The…

General Relativity and Quantum Cosmology · Physics 2016-09-29 S. Habib Mazharimousavi , M. Halilsoy , T. Tahamtan

We study static quantum corrections of the Schwarzschild metric in the Boulware vacuum state. Due to the absence of a complete analytic expression for the full semiclassical Einstein equations we approach the problem by considering the…

High Energy Physics - Theory · Physics 2015-06-26 A. Fabbri , S. Farese , J. Navarro-Salas , G. J. Olmo , H. Sanchis-Alepuz

We examine quantum properties of topological black holes which are asymptotically anti--de Sitter. First, massless scalar fields and Weyl spinors which propagate in the background of an anti--de Sitter black hole are considered in an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dietmar Klemm , Luciano Vanzo

We consider spherically symmetric spacetimes with an outer trapping horizon. Such spacetimes are generalizations of spherically symmetric black hole spacetimes where the central mass can vary with time, like in black hole collapse or black…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Fiona Kurpicz , Nicola Pinamonti , Rainer Verch