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Starting from a spherically symmetric tetrad with three unknown functions of the radial coordinate, a general solution of M{\o}ller's field equations in case of spherical symmetry nonsingular black hole is derived. The previously obtained…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Gamal G. L. Nashed

We introduce novel black hole (BH) solutions, charge/non-charge, within the framework of $f(R)$ gravity, a theory that does not inherently include a cosmological constant, using equal/diffirent metric ansatzs. Remarkably, these solutions…

General Relativity and Quantum Cosmology · Physics 2025-09-22 G. G. L. Nashed

We consider a variant of the Nojiri-Odintsov covariant Horava-like gravitational model, where diffeomorphism invariance is broken dynamically via a non-standard coupling to a perfect fluid. The theory allows to address some of the potential…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

We investigate the static, spherically symmetric black hole solutions in the quasi-dilaton model and its generalizations, which are scalar extended dRGT massive gravity with a shift symmetry. We show that, unlike generic scalar extended…

High Energy Physics - Theory · Physics 2016-04-28 De-Jun Wu , Shuang-Yong Zhou

We extract exact charged black-hole solutions with flat transverse sections in the framework of D-dimensional Maxwell-f(T) gravity, and we analyze the singularities and horizons based on both torsion and curvature invariants. Interestingly…

High Energy Physics - Theory · Physics 2013-03-21 Salvatore Capozziello , P. A. Gonzalez , Emmanuel N. Saridakis , Yerko Vasquez

We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher-dimensional black…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Eugeny Babichev , Alessandro Fabbri

This paper presents nine inconsistency theorems for general relativity theory (GRT), and shows that they ultimately originate from the use of Riemannian curvature and the abandonment of universal invariance (which is stronger than the…

General Physics · Physics 2007-05-23 Ruggero Maria Santilli

We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 A. Dehyadegari , A. Sheykhi

We perform a systematic study of various versions of massive gravity with and without violation of Lorentz symmetry in arbitrary dimension. These theories are well known to possess very unusual properties, unfamiliar from studies of gauge…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andrei Mironov , Sergey Mironov , Alexei Morozov , Andrey Morozov

In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-Bonnet gravity in $n$-dimensions. This family of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alfredo E. Dominguez , Emanuel Gallo

In four-dimensional vacuum general relativity the only known static, exact and analytical black hole solution is given by the Schwarzschild spacetime. In this paper this renowned metric is generalised by adding another integrating constant,…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Marco Astorino

The most general two-dimensional dilaton gravity theory coupled to an Abelian gauge field is considered. It is shown that, up to spacetime diffeomorphisms and $U(1)$ gauge transformations, the field equations admit a two-parameter family of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 D. Louis-Martinez , G. Kunstatter

We discuss the quantum theory of 1+1 dimensional dilaton gravity, which is an interesting model with analogous features to the spherically symmetric gravitational systems in 3+1 dimensions. The functional measures over the metrics and the…

High Energy Physics - Theory · Physics 2011-07-19 K. Hamada

From time to time, different observations suggest that Einstein's theory of general relativity (GR) may not be the ultimate theory of gravity. Various researchers have suggested that the $f(R)$ theory of gravity is the best alternative to…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Surajit Kalita , Banibrata Mukhopadhyay

We introduce the cosmological analysis of the Dirac-Born-Infeld dRGT massive gravity theory which is a new extension of de Rham-Gabadadze-Tolley (dRGT) massive gravity. In this theory, we consider the Dirac-Born-Infeld (DBI) scalar field…

General Relativity and Quantum Cosmology · Physics 2022-07-18 Sobhan Kazempour , Amin Rezaei Akbarieh , Hossein Motavalli , Lijing Shao

We consider numerical black hole solutions in the Weyl conformal geometry, and its associated conformally invariant Weyl quadratic gravity. In this model Einstein gravity (with a positive cosmological constant) is recovered in the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko

We present a new twisted rotating black hole solution by performing Demia{\'n}ski-Newman-Janis algorithm to the electrically and dyonically charged black hole with quintessence in Rastall theory of gravity. Using our black hole solution, we…

General Relativity and Quantum Cosmology · Physics 2020-01-10 M. F. A. R. Sakti , A. Suroso , F. P. Zen

We present a unified framework for the discussion of black hole thermodynamics of $d$-dimensional static black holes with spherical, toroidal or compact hyperbolic horizon topology satisfying $g_{tt}g_{rr}=-1$ in Schwarzschild gauge. To…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Johanna Borissova

In this paper, we will analyze the energy dependent deformation of massive gravity using the formalism of massive gravity's rainbow. So, we will use the Vainshtein mechanism and the dRGT mechanism for the energy dependent massive gravity,…

General Relativity and Quantum Cosmology · Physics 2017-10-03 Yaghoub Heydarzade , Prabir Rudra , Farhad Darabi , Ahmed Farag Ali , Mir Faizal

We obtain static, spherically symmetric, and asymptotically flat numerical solutions of massive gravity with a source. Those solutions show, for the first time explicitly, a recovery of the Schwarzschild solution of General Relativity via…

General Relativity and Quantum Cosmology · Physics 2010-04-23 E. Babichev , C. Deffayet , R. Ziour
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