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We obtain an infinite number of exact static, Ricci-flat spherically symmetric vacuum solutions for a class of f(R) theories of gravity. We analytically derive two exact vacuum black-hole solutions for the same class of f(R) theories. The…

General Relativity and Quantum Cosmology · Physics 2020-10-02 Semin Xavier , Jose Mathew , S. Shankaranarayanan

In this paper, the gravitational deflection of relativistic massive particles up to the second post-Minkowskian order by static and spherically symmetric wormholes is investigated in the weak-field limit. These wormholes include the…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Zonghai Li , Guansheng He , Tao Zhou

We study the static black hole solutions of generalized two-dimensional dilaton-gravity theories generated by pointlike mass sources, in the hypothesis that the matter is conformally coupled. We also discuss the motion of test particles.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Melis , S. Mignemi

A quantum description of hairy black holes within gravitational decoupling (GD) is developed using coherent graviton states. Classical geometry emerges as the mean-field limit of a finite graviton condensate, while quantum fluctuations…

High Energy Physics - Theory · Physics 2026-02-25 Henrique Navarro , Roldao da Rocha

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static…

High Energy Physics - Theory · Physics 2020-07-13 Pablo A. Cano , Ángel Murcia

Deformed Reissner-Nordstr\"om, as well as Reissner-Nordstr\"om de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , M. R. Setare , A. Tureanu , G. Zet

In the realm of astrophysics, black holes exist within nonvacuum cosmological backgrounds, making it crucial to investigate how these backgrounds influence the properties of black holes. In this work, we first introduce a novel static…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Yaghoub Heydarzade , Maxim Misyura , Vitalii Vertogradov

In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Jose M. Torres , Miguel Alcubierre

Deriving the gravitational effective action directly from exact renormalization group is very complicated, if not impossible. Hence, to study the effects of running gravitational coupling which tends to a non--Gaussian UV fixed point (as it…

General Relativity and Quantum Cosmology · Physics 2020-04-29 R. Moti , A. Shojai

The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotropical domain. This will be done via the minimal geometric deformation (MGD) approach, which is a simple and systematical method that allow us…

General Relativity and Quantum Cosmology · Physics 2018-08-21 C. Las Heras , P. Leon

General relativity has passed all solar system experiments and neutron star based tests, such as binary pulsar observations, with flying colors. A more exotic arena for testing general relativity is in systems that contain one or more black…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Kent Yagi , Leo C. Stein

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Robin W Tucker , Charles Wang

Using gravitational decoupling under the requirements of a well-defined event horizon and the source matter satisfying the weak energy condition, we construct nonsingular hairy black holes with spherical or axial symmetry. These solutions…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Yaobin Hua , Rong-Jia Yang

In the context of the Minimal Geometric Deformation method, in this paper we implement the inverse problem in a black hole scenario. In order to deal with an anisotropic polytropic black hole solution of the Einstein field equations with…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Ernesto Contreras , Pedro Bargueño

Gravitational decoupling can add hair to the black holes by adding extra sources. The quasinormal modes of hairy black hole caused by gravitational decoupling for the massless scalar field, electromagnetic field, and gravitational…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Yi Yang , Dong Liu , Ali Övgün , Zheng-Wen Long , Zhaoyi Xu

In this work we propose a novel approach to integrate the Lane-Emden equations for relativistic anisotropic polytropes. We take advantage of the fact that Gravitational Decoupling allows to decrease the number of degrees of freedom once a…

General Relativity and Quantum Cosmology · Physics 2022-09-07 D. Santana , E. Fuenmayor , E. Contreras

Among various strong-curvature extensions to General Relativity, Einstein-Dilaton-Gauss-Bonnet gravity stands out as the only nontrivial theory containing quadratic curvature corrections while being free from the Ostrogradsky instability to…

General Relativity and Quantum Cosmology · Physics 2018-03-05 Andrea Maselli , Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

We implement the Gravitational Decoupling through the Minimal Geometric Deformation method and explore its effect on exterior solutions by imposing a regularity condition in the Tolman--Oppenheimer--Volkoff equation of the decoupling…

General Relativity and Quantum Cosmology · Physics 2020-10-09 Ernesto Contreras , Francisco Tello-Ortiz , S. K. Maurya

The stability of geodesic orbits around a regular hairy black hole, in the gravitational decoupling setup, is investigated by employing Lyapunov exponents, which quantify the divergence rate of nearby trajectories in dynamical systems. Both…

General Relativity and Quantum Cosmology · Physics 2025-12-18 R. C. de Paiva , K. S. Alves , R. T. Cavalcanti , R. da Rocha

We derive Einstein's equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling. The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Brian Pitts , W. C. Schieve