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The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein

A Kerr-Sen-like black hole solution appears in the Einstein-bumblebee theory of gravity. The solution contains contains a Lorentz violating parameter in an explicit manner. We study the null geodesics in the background of this Kerr-Sen-like…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Sohan Kumar Jha , Sahazada Aziz , Anisur Rahaman

Analytical solutions of Maxwell equations around black hole immersed in external uniform magnetic field in the background of the Kehagias-Sfetsos (KS) asymptotically flat black hole solution of Ho\v{r}ava-Lifshitz gravity have been found.…

General Relativity and Quantum Cosmology · Physics 2011-03-18 Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Abdullo Hakimov

Motivated by studies on gravitational lenses, we present an exact solution of the field equations of general relativity, which is static and spherically symmetric, has no mass but has a non-vanishing spacelike components of the…

General Relativity and Quantum Cosmology · Physics 2012-03-15 Emanuel Gallo , Osvaldo Moreschi

We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem,…

General Relativity and Quantum Cosmology · Physics 2013-06-13 J. A. Nieto , E. A. Leon , V. M. Villanueva

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello

We present a detailed study of the static spherically symmetric solutions in de Rham-Gabadadze-Tolley (dRGT) theory. Since the diffeomorphism invariance can be restored by introducing the St\"{u}ckelberg fields $\phi^a$, there is new…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Ping Li , Xin-zhou Li , Ping Xi

In this study, we explore a static, spherically symmetric black hole solution in the context of a self-interacting Kalb-Ramond field coupled with a global monopole. By incorporating the effects of Lorentz-violating term $\ell$ and the…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Mohsen Fathi , Ali Övgün

Starting from the most general action in Einstein-Dilaton-Nonlinear Electrodynamics (NED) theory, we obtain the field equations. We apply the field equations for the specific NED known as the Liouville type plus a cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2023-08-15 S. Habib Mazharimousavi , Kanishk Verma

We discuss universal properties of axisymmetric and stationary configurations consisting of a central black hole and surrounding matter in Einstein-Maxwell theory. In particular, we find that certain physical equations and inequalities…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Marcus Ansorg , Jörg Hennig , Carla Cederbaum

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire

Higher-dimensional solutions for Einstein-Maxwell equations that generalize the charged Nariai spacetime are obtained. The solutions presented here are made from the direct product of several 2-spaces of constant curvature. These solutions…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Carlos Batista

We study the particle motion in the space-time of a Kehagias-Sfetsos (KS) black hole. This is a static spherically symmetric solution of a Horava-Lifshitz gravity model that reduces to General Relativity in the IR limit and deviates…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Victor Enolskii , Betti Hartmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl , Parinya Sirimachan

We consider the coupled Einstein-Maxwell-Boltzmann system with cosmological constant in presence of a massive scalar field. The background metric is that of Friedman-Lema\^itre-Robertson-Walker space time in the spatially homogeneous case…

Analysis of PDEs · Mathematics 2019-01-03 Marcelin Kenmogne Noumo , Norbert Noutchegueme , Roger Tagne Wafo

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

The aim of this paper is to construct accelerated, stationary and axisymmetric exact solutions of the Einstein theory with self interacting scalar fields in (A)dS4. To warm up, the backreaction of the (non)-minimally coupled scalar field is…

High Energy Physics - Theory · Physics 2015-06-04 Andres Anabalon

The entropy spectrum of a spherically symmetric black hole was derived via the Bohr-Sommerfeld quantization rule in Majhi and Vagenas's work. Extending this work to charged and rotating black holes, we quantize the horizon area and the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Deyou Chen , Haitang Yang

We obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine , Cristian Martinez

Charged, rotating Kerr-Newman black holes represent the most general class of asymptotically flat black hole solutions to the Einstein-Maxwell equations of general relativity. Here, we consider a simplified model for the Hawking radiation…

General Relativity and Quantum Cosmology · Physics 2021-01-15 Joshua Foo , Michael R. R. Good

On a closed manifold, consider the space of all Riemannian metrics for which -Delta + kR is positive (nonnegative) definite, where k > 0 and R is the scalar curvature. This spectral generalization of positive (nonnegative) scalar curvature…

Differential Geometry · Mathematics 2023-07-26 Chao Li , Christos Mantoulidis
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