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Spherically symmetric solutions admitting a homothetic Killing vector field (HKVF) either orthogonal, $\eta_{\bot}$, or parallel,$\eta_{||}$, to the 4-velocity vector field, $u^a$, are studied. New self-similar solution of Einstein's field…

General Relativity and Quantum Cosmology · Physics 2015-02-06 Ragab M. Gad

We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic flatness, where black holes do not exist and a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. de Berredo-Peixoto

Under broad assumptions breaking of Lorentz invariance in gravitational theories leads to tension with unitarity because it allows for processes that apparently violate the second law of thermodynamics. The crucial ingredient of this…

High Energy Physics - Theory · Physics 2015-05-30 D. Blas , S. Sibiryakov

We study the deformed kinematics of point particles in the Horava theory of gravity. This is achieved by considering particles as the optical limit of fields with a generalized Klein-Gordon action. We derive the deformed geodesic equation…

High Energy Physics - Theory · Physics 2010-02-23 Dario Capasso , Alexios P. Polychronakos

Universal horizons in Ho\v{r}ava-Lifshitz gravity and Einstein-{\ae}ther theory are the equivalent of causal horizons in general relativity and appear to have many of the same properties, including a first law of horizon thermodynamics and…

High Energy Physics - Theory · Physics 2015-06-22 Jishnu Bhattacharyya , David Mattingly

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Anne Marie Nzioki , Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby

The paper is a brief review on the existence and basic properties of static, spherically symmetric regular black hole solutions of general relativity, where the source of gravity is represented by nonlinear electromagnetic fields with the…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Kirill A. Bronnikov

In full Horndeski theories, we show that the static and spherically symmetric black hole (BH) solutions with a static scalar field~$\phi$ whose kinetic term~$X$ is nonvanishing on the BH horizon are generically prone to ghost/Laplacian…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

In Horava's theory of gravity, Lorentz symmetry is broken in exchange for renormalizability, but the original theory has been argued to be plagued with problems associated with a new scalar mode stemming from the very breaking of Lorentz…

High Energy Physics - Theory · Physics 2015-05-18 Tsutomu Kobayashi , Yuko Urakawa , Masahide Yamaguchi

In general relativity, the endpoint of spherically symmetric gravitational collapse is a Schwarzschild--[(A)dS] black hole. In bimetric gravity, it has been speculated that a static end state must also be Schwarzschild--[(A)dS]. To this…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Marcus Högås , Mikica Kocic , Francesco Torsello , Edvard Mörtsell

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

In this work, following our recent findings in [1], we extend our analysis to explore the generalization of spherically symmetric and static black-bounce solutions, known from General Relativity, within the framework of the $f(R)$ theory in…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Marcos V. de S. Silva , T. M. Crispim , G. Alencar , R. R. Landim , Manuel E. Rodrigues

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 the framework of non-riemannian geometry, we derive exact static vacuum solutions of the field equations obtained from the full equivalent version of the Einstein-Hilbert action when torsion degrees of freedom are taken into account. By…

General Relativity and Quantum Cosmology · Physics 2014-12-16 Rodrigo Maier

We construct spinning black holes (BHs) in shift-symmetric Horndeski theory. This is an Einstein-scalar-Gauss-Bonnet model wherein the (real) scalar field couples linearly to the Gauss-Bonnet curvature squared combination. The BH solutions…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional gravity the uniqueness of wide families of exact solutions is established, among them, all…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alberto A. Garcia-Diaz

In a recent paper Ca\~nate (CQG, {\bf 35}, 025018 (2018)) proved a no hair theorem to static and spherically symmetric or stationary axisymmetric black holes in general $f(R)$ gravity. The theorem applies for isolated asymptotically flat or…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Joseph Sultana , Demosthenes Kazanas

In this article, we study the stability of black hole solutions found in the context of dilatonic Horava-Lifshitz gravity in $1+1$ dimensions by means of the quasinormal modes approach. In order to find the corresponding quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Miguel Cruz , Manuel Gonzalez-Espinoza , Joel Saavedra , Diego Vargas-Arancibia

A nonsymmetric gravitational theory (NGT) is presented which is free of ghost poles, tachyons and higher-order poles and there are no problems with asymptotic boundary conditions. An extended Birkhoff theorem is shown to hold for the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. W. Moffat

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson