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Generalization of a known theorem to generate static, spherically symmetric black-hole solutions in higher dimensional Lovelock gravity is presented. Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in any dimension…

General Relativity and Quantum Cosmology · Physics 2010-01-06 S. Habib Mazharimousavi , O. Gurtug , M. Halilsoy

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pablo Bueno , Pablo A. Cano , Javier Moreno , Guido van der Velde

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a…

General Relativity and Quantum Cosmology · Physics 2011-02-22 Leonardo Modesto , John W. Moffat , Piero Nicolini

In this work, we investigate the static, spherically symmetric regular black hole solutions in a generalized Rastall gravity. In particular, the prescription of Rastall gravity implies that the present approach does not necessarily involve…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Kai Lin , Wei-Liang Qian

We investigate here the gravitational collapse end states for a spherically symmetric perfect fluid with an equation of state $p=k\rho$. It is shown that given a regular initial data in terms of the density and pressure profiles at the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rituparno Goswami , Pankaj S Joshi

Quantum gravitational effects in black hole spacetimes with a cosmological constant $\Lambda$ are considered. The effective quantum spacetimes for the black holes are constructed by taking into account the renormalization group improvement…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Ramon Torres

With the successes of $f(R)$ theory as a neutral modification of Einstein's general relativity (GR), we continue our study in this field and attempt to find general %natural { neutral} and charged black hole (BH) solutions. In the previous…

General Relativity and Quantum Cosmology · Physics 2021-12-21 G. G. L. Nashed , Shin'ichi Nojiri

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta…

High Energy Physics - Theory · Physics 2015-03-17 Yves Brihaye , Burkhard Kleihaus , Jutta Kunz , Eugen Radu

The Riemann, Ricci and Einstein tensors for N-dimensional spherically symmetric spacetimes in various systems of coordinates are studied, and the general metric for conformally flat spacetimes is given. As an application, all the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaime F. Villas da Rocha , Anzhong Wang

In this paper, by means of regularisation procedure via $r\to \sqrt{r^2+l_0^2}$ (where $l_0$ can play the role of zero point length), we first modify the gravitational and electromagnetic potentials in two dimensions and then we solve the…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Kimet Jusufi

Perfect fluid with kinematic self-similarity is studied in 2+1 dimensional spacetimes with circular symmetry, and various exact solutions to the Einstein field equations are given. In particular, these include all the solutions of dust and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. Y. Miguelote , N. A. Tomimura , Anzhong Wang

We study spherically symmetric regular and black hole solutions in the Einstein-Skyrme theory with a negative cosmological constant. The Skyrme field configuration depends on the value of the cosmological constant in a similar manner to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Noriko Shiiki , Nobuyuki Sawado

We investigate static and spherically symmetric solutions in a gravity theory that extends the standard Hilbert-Einstein action with a Lagrangian constructed from a three-form field $A_{\alpha \beta \gamma}$, which is related to the field…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Bruno J. Barros , Bogdan Dǎnilǎ , Tiberiu Harko , Francisco S. N. Lobo

We present a rotating regular black hole whose inner horizon has zero surface gravity for any value of the spin parameter, and is therefore stable against mass inflation. Our metric is built by combining two successful strategies for…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Vania Vellucci

In this paper, we investigate the strong gravitational lensing effects and optical appearances around a spherically symmetric regular black hole, whose metric is derived from a non-singular collapsing dust ball model in asymptotically safe…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Xiao-Jun Gao

Extended gravitational models have gained large attention in the last couple of decades. In this work, we examine the solution space of vacuum, static, and spherically symmetric spacetimes within $F(R)$ theories, introducing novel methods…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Cristobal Laporte , Agustín Silva

The stability and other physical properties of a class of regular black holes, quasiblack holes, and other electrically charged compact objects are investigated in the present work. The compact objects are obtained by solving the…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

We investigate the effects of the Einstein cubic gravity (ECG) on regular black hole solutions driven by nonlinear electrodynamics (NLE) sources. The ECG tends to form a naked singularity at the origin for a high ECG coupling constant.…

General Relativity and Quantum Cosmology · Physics 2023-05-30 L. A. Lessa , J. E. G. Silva

Physically relevant solutions in general relativity often contain spacetime singularities, which are typically interpreted as a sign of breakdown of the theory at high densities/curvatures. Hence, there has been a growing interest in…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Swarnim Shashank