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We study the quantum theory of the Einstein-Maxwell action with a cosmological term in the spherically symmetric space-time, and explored quantum black hole solutions in Reissner-Nordstrom-de Sitter geometry. We succeeded to obtain analytic…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Masakatsu Kenmoku , Hiroto Kubotani , Eiichi Takasugi , Yuki Yamazaki

Adopting the Tolman-Oppenheimer-Volkoff formalism, we propose a new analytical solution for a static and spherically symmetric black hole where the cosmological constant is generalized to a non-isotropic Anton-Schmidt fluid acting as a…

General Relativity and Quantum Cosmology · Physics 2020-02-13 Salvatore Capozziello , Rocco D'Agostino , Daniele Gregoris

In this paper, we construct a deformed Schwarzschild black hole from the de Sitter gauge theory of gravity within Dunkl generalization and we determine the metric coefficients versus Dunkl parameter and parity operators. Since the spacetime…

General Relativity and Quantum Cosmology · Physics 2025-01-10 P. Sedaghatnia , H. Hassanabadi , A. A. Araújo Filho , P. J. Porfírio , W. S. Chung

A pseudo-Riemannian manifold contains an inherent Hamiltonian structure within the symplectic manifold in the cotangent bundle corresponding to the metric. Using this structure, it is possible to define a Hamiltonian, which can be…

General Relativity and Quantum Cosmology · Physics 2012-12-07 Ikjyot Singh Kohli

We quantize the Oppenheimer-Snyder model of black hole using the integral quantization method. We treat spatial and temporal coordinates on the same footing both at classical and quantum levels. Our quantization resolves or smears the…

General Relativity and Quantum Cosmology · Physics 2023-11-30 A. Góźdź , J. J. Ostrowski , A. Pȩdrak , W. Piechocki

An axial-symmetric vacuum solution of the Einstein equations containing a supertranslation field diffeomorphic to the Schwarzschild solution is discussed in the context of Israel theorem. The metric satisfies all conditions of the Israel…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Mikhail Z. Iofa

We show that classical space-times can be derived directly from the S-matrix for a theory of massive particles coupled to a massless spin two particle. As an explicit example we derive the Schwarzchild space-time as a series in $G_N$. At no…

High Energy Physics - Theory · Physics 2015-06-15 Duff Neill , Ira Z. Rothstein

We investigate static spherically symmetric solutions within the framework of the local limit of nonlocal gravity. This theory departs from Einstein's general relativity (GR) through the introduction of a scalar gravitational susceptibility…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Yahya Mohammadi , Javad Tabatabaei , Shant Baghram , Bahram Mashhoon

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

General Relativity and Quantum Cosmology · Physics 2008-11-07 S. Deser , O. Sarioglu , B. Tekin

In this work a loop quantum corrected model is obtained for spherically symmetric space-times in the vacuum. This effective model is derived by the use of the path integral method, previously employed in several models of Loop Quantum…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Juan Carlos Del Águila , Hugo A. Morales

The Schwarzschild-de Sitter (SdS) metric is the simplest spacetime solution in general relativity with both a black hole event horizon and a cosmological event horizon. Since the Schwarzschild metric is the most simple solution of…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Diego Fernández-Silvestre , Joshua Foo , Michael R. R. Good

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

We present a time dependent isotropic fluid solution around a Schwarzschild black hole. We offer the solutions and discuss the effects on the field equations and the horizon. We derive the energy density, pressure and the equation of state…

General Relativity and Quantum Cosmology · Physics 2018-07-26 Metin Arik , Yorgo Senikoglu

Intrinsic time quantum geometrodynamics resolved `the problem of time' and bridged the deep divide between quantum mechanics and canonical quantum gravity with a Schrodinger equation which describes evolution in intrinsic time variable. In…

General Relativity and Quantum Cosmology · Physics 2016-01-18 Huei-Chen Lin , Chopin Soo

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

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…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Emanuel Gallo , Carlos Kozameh , Thomas Mädler , Osvaldo M. Moreschi , Alejandro Pérez

We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Vadim Egorov , Mikhail Smolyakov , Igor Volobuev

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Vasilisa Nikiforova

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

Initial data corresponding to spacetimes containing black holes are considered in the time symmetric case. The solutions are obtained by matching across the apparent horizon different, conformally flat, spatial metrics. The exterior metric…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. Arbona , C. Bona , J. Carot , L. Mas , J. Masso , J. Stela