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We consider a metric-affine extension to the gravitational sector of the Standard-Model Extension for the Lorentz-violating coefficients $u$ and $s^{\mu\nu}$. The general results, which are applied to a specific model called metric--affine…

General Relativity and Quantum Cosmology · Physics 2023-10-18 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

We construct quartic quasitopological gravity, a theory of gravity containing terms quartic in the curvature that yields second order differential equations in the spherically symmetric case. Up to a term proportional to the quartic term in…

High Energy Physics - Theory · Physics 2015-05-30 M. H. Dehghani , A. Bazrafshan , R. B. Mann , M. R. Mehdizadeh , M. Ghanaatian , M. H. Vahidinia

We present a new class of solutions describing charged black holes in massive (bi)gravity. For a generic choice of the parameters of the massive gravity action, the solution is the Reissner-Nordstrom-de Sitter metric written in the…

General Relativity and Quantum Cosmology · Physics 2014-07-09 Eugeny Babichev , Alessandro Fabbri

The general parametrization of a black-hole spacetime in arbitrary metric theories of gravity includes an infinite set of parameters. It is natural to suppose that essential astrophysically observable quantities, such as quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2020-06-04 R. A. Konoplya , A. Zhidenko

The hybrid metric-Palatini theory of gravity (HMPG), proposed in 2012 by T. Harko et al., is known to successfully describe both local (solar-system) and cosmological observations. We discuss static, spherically symmetric vacuum solutions…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

By applying a set of Hassan-Sen transformations and string dualities to the Kerr-Godel solution of minimal D=5 supergravity we derive a four parameter family of five dimensional solutions in type II string theory. They describe rotating,…

High Energy Physics - Theory · Physics 2009-11-10 C. A. R. Herdeiro

In this work, we investigate the structure of black hole shadows in the bumblebee gravity model formulated within the metric-affine framework, which incorporates spontaneous Lorentz symmetry breaking (LSB) through a vector field $B_\mu$…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Jose R. Nascimento , Ana R. M. Oliveira , Albert Yu. Petrov , Paulo J. Porfírio , Amilcar R. Queiroz

We investigate how the newly obtained static black hole in bumblebee gravity affects the behavior of accreting matter and its observable signatures. The Lorentz-violating parameter that characterizes this geometry modifies photon…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Yuxuan Shi , A. A. Araújo Filho

A spherically symmetric black hole solution defined by the gravitational mass is explored in higher-order curvature gravity associated with a scalar field. It is demonstrated that the singularities of the curvature invariants will be far…

General Relativity and Quantum Cosmology · Physics 2025-09-04 G. G. L. Nashed , Usman Zafar , Kazuharu Bamba

The first images of black hole shadows open new possibilities to constrain modern extended gravity theories. We present the method of shadow background calculation for black hole solutions in the form of Taylor series where $g_{11} = -…

General Relativity and Quantum Cosmology · Physics 2022-09-07 V. Prokopov , S. Alexeyev , O. Zenin

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in…

High Energy Physics - Theory · Physics 2009-10-22 S. N. Solodukhin

We investigate perturbations of a class of spherically symmetric solutions in massive gravity and bi-gravity. The background equations of motion for the particular class of solutions we are interested in reduce to a set of the Einstein…

General Relativity and Quantum Cosmology · Physics 2015-09-08 Tsutomu Kobayashi , Masaru Siino , Masahide Yamaguchi , Daisuke Yoshida

We present black hole solutions in $2+1-$dimensional Einstein's theory of gravity coupled with Born-Infeld nonlinear electrodynamic and a massless self-interacting scalar field. The model has five free parameters: mass $M$, cosmological…

General Relativity and Quantum Cosmology · Physics 2015-09-30 S. Habib Mazharimousavi , M. Halilsoy

Different theories of gravity can admit the same black hole solution, but the parameters usually have different physical interpretations. In this work we study in depth the linear term $\beta r$ in the redshift function of black holes,…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Daniele Gregoris , Yen Chin Ong , Bin Wang

In this work, we explore a Schwarzschild-like black hole within the framework of metric--affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we…

General Relativity and Quantum Cosmology · Physics 2024-07-09 N. Heidari , Caio F. B. Macedo , A. A. Araújo Filho , H. Hassanabadi

We obtain the solution of a generalized ABG STVG black hole with the nonlinear tensor field $B_{\mu \nu }$ in the scalar-tensor-vector gravity. This black hole is endowed with four parameters, the black hole mass $M$, the parameter $\alpha$…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Xin-Chang Cai , Yan-Gang Miao

We obtain an exact Kerr-like black hole solution by solving the corresponding gravitational field equations in Einstein-bumblebee gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Chikun Ding , Changqing Liu , R. Casana , A. Cavalcante

We investigate black hole solutions within a phenomenological approach to quantum gravity based on spacetime thermodynamics developed by Alonso-Serrano and Li\v{s}ka. The field equations are traceless, similarly to unimodular gravity, and…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Ana Alonso-Serrano , Marco de Cesare , Manuel Del Piano

In this paper, we investigate the photon regions, shadow, and observational constraints of a Kerr-Newman-like black hole in Bumblebee gravity within a plasma medium. By employing a specific non-homogeneous power-law plasma model to ensure…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jian-Peng Zhang , Yu Zhang , Li Han
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