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A description of the event horizon of a perturbed Schwarzschild black hole is provided in terms of the intrinsic and extrinsic geometries of the null hypersurface. This description relies on a Gauss-Codazzi theory of null hypersurfaces…

General Relativity and Quantum Cosmology · Physics 2011-12-06 Ian Vega , Eric Poisson , Ryan Massey

The constant density interior Schwarzschild solution for a static, spherically symmetric collapsed star has a divergent pressure when its radius $R\le\frac{9}{8}R_s=\frac{9}{4}GM$. We show that this divergence is integrable, and induces a…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Pawel O. Mazur , Emil Mottola

We show that in four or more spacetime dimensions, the Einstein equations for gravitational perturbations of maximally symmetric vacuum black holes can be reduced to a single 2nd-order wave equation in a two-dimensional static spacetime for…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama , Akihiro Ishibashi

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

We examine whether the Schwarzschild black hole can emerge as the continuous end state of gravitational collapse from a non-singular configuration. Employing a time dependent extension of the regular Schwarzschild metric, we track the…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Jorge Ovalle , Roberto Casadio , Alexander Kamenshchik

We analyse the stability of the inner horizon of the quantum-corrected black hole which is proposed in loop quantum gravity as the exterior of the quantum Oppenheimer-Snyder and Swiss Cheese models. It is shown that the flux and energy…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Li-Ming Cao , Long-Yue Li , Liang-Bi Wu , Yu-Sen Zhou

We study the geometry of the two dimensional string theoretic black hole under tachyonic perturbations. These perturbations are restricted to affect only the metric and the dilaton, while other string theoretic excitations (like the axion)…

High Energy Physics - Theory · Physics 2015-11-03 Aniket Basu , Parthasarathi Majumdar

We present three-dimensional, {\it non-axisymmetric} distorted black hole initial data which generalizes the axisymmetric, distorted, non-rotating [Bernstein93a] and rotating [Brandt94a] single black hole data developed by Bernstein,…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Steven Brandt , Karen Camarda , Edward Seidel , Ryoji Takahashi

With the observed data of the S2 orbit around the black hole Sgr A$^*$ and the Markov Chain Monte Carlo method, we make a constraint on parameters of a disformal Schwarzschild black hole in quadratic degenerate higher-order scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Zelin Zhang , Songbai Chen , Jiliang Jing

The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama

We establish that the Einstein tensor takes on a highly symmetric form near the Killing horizon of any stationary but non-static (and non-extremal) black hole spacetime. [This follows up on a recent article by the current authors,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A J M Medved , Damien Martin , Matt Visser

In this paper we analyse the stability of black hole Cauchy horizons arising in a class of 2d dilaton gravity models. It is shown that due to the characteristic asymptotic Rindler form of the metric of these models, time dependent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Fabbri

In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas

We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Jin Saito , Tsutomu Kobayashi

The expectation value of the stress-energy tensor $\langleT_{\mu\nu}\rangle$ of a free conformally invariant scalar field is computed in a general static two-dimensional black hole spacetime when the field is in either a zero temperature…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daniel J. Loranz , William A. Hiscock , Paul R. Anderson

We determine coherent states peaked at classical space-time of the Schwarzschild black hole in the frame-work of canonical quantisation of general relativity. The information about the horizon is naturally encoded in the phase space…

High Energy Physics - Theory · Physics 2009-11-10 Arundhati Dasgupta

Analytic approximations for the stress-energy of quantized fields in the Hartle-Hawking state in static black hole spacetimes predict divergences on the event horizon of the black hole for a number of important cases. Such divergences, if…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Paul R. Anderson , Mathew Binkley , Hector Calderon , William A. Hiscock , Emil Mottola , Ruslan Vaulin

We consider a massless, minimally-coupled quantum scalar field on a Reissner-Nordstrom black hole background, and we study the leading asymptotic behavior of the expectation value of the stress energy tensor operator…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Orr Sela

We study spherically symmetric spacetime perturbations induced by a neutral scalar in the near-horizon region of extreme Reissner-Nordstrom black holes. For the unperturbed black hole, the near-horizon region is given by another exact…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Marco de Cesare , Roberto Oliveri , Achilleas P. Porfyriadis

We investigate geometrical properties of 5D cylindrical vacuum solutions with a transverse spherical symmetry. The metric is uniform along the fifth direction and characterized by tension and mass densities. The solutions are classified by…

General Relativity and Quantum Cosmology · Physics 2011-08-31 Inyong Cho , Gungwon Kang , Sang Pyo Kim , Chul H. Lee
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