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We derive the master equations governing axial and polar gravitational perturbations of a generic static and spherically symmetric black hole spacetime within the framework of the revised Deser--Woodard nonlocal gravity theory. We then…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Rocco D'Agostino , Vittorio De Falco

We consider the revised Deser-Woodard model of nonlocal gravity by reformulating the related field equations within a suitable tetrad frame. This transformation significantly simplifies the treatment of the ensuing differential problem…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Rocco D'Agostino , Vittorio De Falco

We investigate the gravitational perturbations of the Schwarzschild black hole in the nonlocal gravity model recently proposed by Deser and Woodard (DW-II). The analysis is performed in the localized version in which the nonlocal…

General Relativity and Quantum Cosmology · Physics 2021-03-19 Che-Yu Chen , Sohyun Park

In this paper we study the issue of the role of nonlocality as a possible ingredient to solve long standing problems in the physics of black holes. To achieve this goal we analytically derive new black hole metrics improved by corrections…

High Energy Physics - Theory · Physics 2012-02-22 Piero Nicolini

Gravitational decoupling allows to obtain new solutions of general relativity. In this paper, we obtain new solutions of the Einstein field equations which describe non-singular black holes. We consider Hayward and Bardeen regular black…

General Relativity and Quantum Cosmology · Physics 2024-05-14 Maxim Misyura , Angel Rincon , Vitalii Vertogradov

Massive bosonic fields of arbitrary spin are predicted by general extensions of the Standard Model. It has been recently shown that there exists a family of bimetric theories of gravity - including massive gravity - which are free of…

General Relativity and Quantum Cosmology · Physics 2013-07-12 Richard Brito , Vitor Cardoso , Paolo Pani

In this paper, we study the gravitational lensing around the static and spherically symmetric DD black holes, which we recently derived as perturbations of the Schwarzschild geometry within the revised Deser-Woodard theory of nonlocal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Rocco D'Agostino , Vittorio De Falco

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

General Relativity and Quantum Cosmology · Physics 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin

The Deser-Woodard gravity is a modified theory of gravity in which nonlocality plays a central role. In this context, nonlocality is a consequence of the inverse of the d'Alembertian operator $\square^{-1}$ in the effective action. Here,…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Juliano C. S. Neves

We study spherically symmetric black hole solutions in a four-parameter Einstein-Cartan-type class of theories, called "torsion bigravity". These theories offer a geometric framework (with a metric and an independent torsionfull connection)…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Vasilisa Nikiforova , Thibault Damour

In this work we study static spherically symmetric solutions of effective field equations related to local and nonlocal higher-derivative gravity models, based on their associated effective delta sources. This procedure has been applied to…

General Relativity and Quantum Cosmology · Physics 2024-09-16 Tibério de Paula Netto , Breno L. Giacchini , Nicolò Burzillà , Leonardo Modesto

We give here a list of exact classical solutions of a large class of weakly nonlocal theories of gravity, which are unitary and super-renormalizable (or finite) at quantum level. It is explicitly shown that flat and Ricci-flat spacetimes as…

High Energy Physics - Theory · Physics 2016-01-27 Yao-Dong Li , Leonardo Modesto , Leslaw Rachwal

We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using modified Schwarzschild coordinates, we systematically classify…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Breno L. Giacchini , Ivan Kolář

We model pseudo-Finsler geometries, with pseudo-Euclidean signatures of metrics, for two classes of four dimensional nonholonomic manifolds: a) tangent bundles with two dimensional base manifolds and b) pseudo-Riemannian/ Einstein…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Sergiu I. Vacaru

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

General 2d dilaton theories, containing spherically symmetric gravity and hence the Schwarzschild black hole as a special case, are quantized by an exact path integral of their geometric (Cartan-) variables. Matter, represented by minimally…

High Energy Physics - Theory · Physics 2009-10-31 W. Kummer , H. Liebl , D. V. Vassilevich

It is already known that a simple nonlocal de Sitter gravity model, which we denote as $\sqrt{dS}$ gravity, contains an exact vacuum cosmological solution which mimics dark energy and dark matter and is in very good agreement with the…

General Physics · Physics 2024-04-10 Ivan Dimitrijevic , Branko Dragovich , Zoran Rakic , Jelena Stankovic

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

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass
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