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Using distributional techniques we calculate the energy--momentum tensor of the Schwarzschild geometry. It turns out to be a well--defined tensor--distribution concentrated on the $r=0$ region which is usually excluded from space--time.…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Herbert Balasin , Herbert Nachbagauer

We analyse the physical properties of an analytical, nonsingular quantum-corrected black hole solution recently derived in a minisuperspace model for unimodular gravity under the assumption of unitarity in unimodular time. We show that the…

广义相对论与量子宇宙学 · 物理学 2026-02-02 Steffen Gielen , Sofie Ried

A method is given to compute the stress-energy tensor for a massless minimally coupled scalar field in a spacetime where a black hole forms from the collapse of a spherically symmetric null shell in four dimensions. Part of the method…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Paul R. Anderson , Shohreh Gholizadeh Siahmazgi , Raymond D. Clark , Alessandro Fabbri

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Daniel Hofmann

We derive a transformation from the usual ADM metric-extrinsic curvature variables on the phase space of Schwarzschild black holes, to new canonical variables which have the interpretation of Kruskal coordinates. We explicitly show that…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Madhavan Varadarajan

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…

广义相对论与量子宇宙学 · 物理学 2009-10-28 David Hochberg , Sergey V. Sushkov

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…

广义相对论与量子宇宙学 · 物理学 2025-10-28 Saurav Samanta , Bibhas Ranjan Majhi

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Olivier Sarbach , Manuel Tiglio

We apply the method of conical singularities to calculate the tree-level entropy and its one-loop quantum corrections for a charged Kerr black hole. The Euclidean geometry for the Kerr-Newman metric is considered. We show that for an…

高能物理 - 理论 · 物理学 2009-10-30 Robert B. Mann , Sergey N. Solodukhin

The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they can lead for example to either unphysical coordinate singularities in the metric (e.g. $r=2M$ in the Schwarzschild black hole) or to an…

广义相对论与量子宇宙学 · 物理学 2021-10-20 Emanuel Gallo , Carlos Kozameh , Thomas Mädler , Osvaldo M. Moreschi , Alejandro Pérez

Recently it was shown that, in an effective description motivated by loop quantum gravity, singularities of the Kruskal space-time are naturally resolved [1,2]. In this note we explore a few properties of this quantum corrected effective…

广义相对论与量子宇宙学 · 物理学 2021-01-14 Abhay Ashtekar , Javier Olmedo

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics.…

广义相对论与量子宇宙学 · 物理学 2009-09-01 Kostyantyn Ropotenko

We study spherically symmetric static solutions to the semi-classical Einstein equation sourced by the vacuum energy of quantum fields in the curved space-time of the same solution. We found solutions that are small deformations of the…

高能物理 - 理论 · 物理学 2018-03-14 Pei-Ming Ho , Yoshinori Matsuo

We consider the quantum stress-energy tensor of a massless scalar field near the Cauchy horizon interior to the Reissner-Nordstr\"om black hole spacetime. We construct the quantum state by considering the two-point function on a negative…

广义相对论与量子宇宙学 · 物理学 2020-01-29 Peter Taylor

We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Olaf Dreyer , Badri Krishnan , Eric Schnetter , Deirdre Shoemaker

The total spacetime manifold for a Schwarzschild black hole (BH) is described by the Kruskal coordinates u=u(r,t) and v=v(r,t), where r and t are the conventional Schwarzschild radial and time coordinates respectively. The relationship…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Abhas Mitra

In this paper I examine black hole and cosmological space-times in Born-Infeld-Einstein theory with electric and magnetic charges. The field equations are derived and written in the form $G_{\mu\nu}=-\kappa T_{\mu\nu}$ for spherically…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dan N. Vollick

It has been recently shown in [Phys. Rev. Lett. 125 (2020) 041302] that microstate counting carried out for quantum states residing on the horizon of a black hole leads to a correction of the form $\exp(-A/4l_p^2)$ in the Bekenstein-Hawking…

高能物理 - 理论 · 物理学 2024-05-10 Soham Sen , Ashis Saha , Sunandan Gangopadhyay

We proposed a gravitational energy momentum tensor in previous paper. By using it, we evaluate an electric and a gravitational energies in and out of an event horizon of a charged black hole. There is no gravitational energy in the event…

综合物理 · 物理学 2016-08-18 Katsutaro Shimizu

We consider the two-dimensional "Schwarzschild" and "Reissner-Nordstrom" stringy black holes as systems of Casimir type. We explicitly calculate the energy-momentum tensor of a massless scalar field satisfying Dirichlet boundary conditions…

高能物理 - 理论 · 物理学 2008-11-26 T. Christodoulakis , G. A. Diamandis , B. C. Georgalas , E. C. Vagenas
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