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The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Petrov

The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches.…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

Emergent modified gravity provides a covariant, effective framework for obtaining spherically symmetric black hole solutions in models of loop quantum gravity with scale-dependent holonomy modifications. Exact solutions for vacuum black…

General Relativity and Quantum Cosmology · Physics 2024-07-18 Idrus Husin Belfaqih , Martin Bojowald , Suddhasattwa Brahma , Erick I. Duque

Emergent modified gravity presents a new set of generally covariant gravitational theories in which the space-time metric is not directly given by one of the fundamental fields. A metric compatible with the modified dynamics of gravity is…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Martin Bojowald , Erick I. Duque

A "temporal analogue" of the standard Poynting-Robertson effect is analyzed as induced by a dust of particles (instead of a gas of photons) surrounding a Schwarzschild black hole. Test particles inside this cloud undergo acceleration…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

Increasing attention has been recently devoted to the study of Kantowski-Sachs spacetime as a way to explore the interior of a Schwarzschild black hole. In this work, we construct a Hamiltonian formulation for polar perturbations of this…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Guillermo A. Mena Marugán , Andrés Mínguez-Sánchez

The generalization of the black hole in three-dimensional spacetime to include an electric charge Q in addition to the mass M and the angular momentum J is given. The field equations are first solved explicitly when Q is small and the…

High Energy Physics - Theory · Physics 2009-10-31 Cristian Martinez , Claudio Teitelboim , Jorge Zanelli

We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Xiaobo Guo , Kangkai Liang , Benrong Mu , Peng Wang , Mingtao Yang

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

In this brief note we investigate the conditions under which a Schwarzschild de Sitter black hole spacetime is a solution of the mimetic $F(R)$ gravity with Lagrange multiplier and potential. As we demonstrate, the resulting mimetic $F(R)$…

General Relativity and Quantum Cosmology · Physics 2016-06-16 V. K. Oikonomou

In this paper, we investigate the dynamic phenomenological signatures of a Schwarzschild-MOG black hole shadow perturbed by passing gravitational waves. By perturbing the Hamilton-Jacobi equation for photon null geodesics, we demonstrate…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Nikko John Leo S. Lobos , Emmanuel T. Rodulfo

We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the previous paper, the rise (and…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

By considering the back-reaction of the spacetime through the spherically symmetric quantum fluctuations of the background metric, Kazakov and Solodukhin removed the singularity of the Schwarzschild black hole. This regular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-07-21 Kourosh Nozari , Milad Hajebrahimi

A point-like object moving in a background black hole spacetime experiences a gravitational self-force which can be expressed as a local function of the object's instantaneous position and velocity, to linear order in the mass ratio. We…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Justin Vines , Éanna É. Flanagan

In this paper, we study the motion of a massless, chargeless particle in Schwarzschild-de Sitter spacetime, revealing exponential radial growth and potential chaos in an integrable system. Poincar\'e sections show regular…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Surojit Dalui , Soumya Bhattacharya , Chiranjeeb Singha

We discuss a recently proposed limiting curvature theory of gravity and its application to the problem of singularities inside black holes. In this theory the growth of the curvature is suppressed by specially chosen inequality constraints…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Valeri P. Frolov
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