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We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

General Relativity and Quantum Cosmology · Physics 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

The existence of light rings in a spacetime is closely related to the existence of black hole horizons and observables such as the ringdown and the shadow. Black holes, compared to nonvacuum ultracompact objects, have rather unique…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Aydin Tavlayan , Bayram Tekin

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

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

We present a review of black holes and black string solutions available in the $d$-dimensional Einstein and Einstein-Maxwell model in the presence of a cosmological constant. Due to the cosmological constant, the equations do not admit…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Yves Brihaye

We discuss spherically symmetric static solutions of the Einstein-Klein-Gordon equations for a real scalar field with a mass and a quartic self-interaction term. As for the massless case the solutions have a naked singularity at the origin.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Philippe Jetzer , David Scialom

We study generic Einstein-Maxwell-Kalb-Ramond-dilaton actions, and derive conditions under which they give rise to static, spherically symmetric black hole solutions. We obtain new asymptotically flat and non-flat black hole solutions which…

High Energy Physics - Theory · Physics 2009-11-11 Sourav Sur , Saurya Das , Soumitra SenGupta

We study $D$-dimensional charged static spherically symmetric black hole solutions in Gauss-Bonnet theory coupled to nonlinear electrodynamics defined as arbitrary functions of the field invariant and constrained by several physical…

High Energy Physics - Theory · Physics 2015-12-09 D. Rubiera-Garcia

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and…

High Energy Physics - Theory · Physics 2009-11-10 Eugen Radu , Elizabeth Winstanley

A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon…

General Relativity and Quantum Cosmology · Physics 2011-09-13 A. Aghamohammadi , Kh. Saaidi , M. R. Abolhasani , A. Vajdi

Motivated by some recent speculative attempts to model the dark energy, scalar fields with negative kinetic energy coupled to gravity without a cosmological constant are considered. It is shown that in the presence of an ordinary fluid, any…

High Energy Physics - Theory · Physics 2007-05-23 G. W. Gibbons

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

We present interesting relationship between what are called stationary axisymmetric black hole solutions for the vacuum Einstein equations in the ordinary four-dimensions and exact solutions for self-dual Yang-Mills fields in flat $2+2$…

High Energy Physics - Theory · Physics 2009-10-28 Hitoshi Nishino

We prove the following theorem: axisymmetric, stationary solutions of the Einstein field equations formed from classical gravitational collapse of matter obeying the null energy condition, that are everywhere smooth and ultracompact (i.e.,…

General Relativity and Quantum Cosmology · Physics 2017-12-21 Pedro V. P. Cunha , Emanuele Berti , Carlos A. R. Herdeiro

Based on perturbation theory, we present the exact first-order solution to the Einstein equations for the exterior static gravitational field of an isolated non-rotating star in a spatially finite universe having the topology of a flat…

General Relativity and Quantum Cosmology · Physics 2016-08-11 Frank Steiner

We construct new black hole solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by their horizon radius and a pair of integers (k,n), where k is related to the polar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Marion Wirschins

We consider self-interacting scalar fields coupled to gravity. Two classes of exact solutions to Einstein's equations are obtained: the first class corresponds to the minimal coupling, the second one to the conformal coupling. One of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Oleg A. Fonarev

It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function $f(\phi)$ and potential $U(\phi)$. The scalar…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Kirill A. Bronnikov , Kodir Badalov , Rustam Ibadov

In this brief report, we investigate the existence of 4-dimensional static spherically symmetric black holes (BHs) in the Einstein-complex-scalar-Gauss-Bonnet (EcsGB) gravity with an arbitrary potential $V(\phi)$ and a coupling $f(\phi)$…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Kai Lin , Shaojun Zhang , Chao Zhang , Xiang Zhao , Bin Wang , Anzhong Wang

We show that in presence of a cosmological constant or, more generally, of a scalar potential, there can exist actually more possibilities for the horizon geometry of a four-dimensional black hole than the hitherto known spherical,…

High Energy Physics - Theory · Physics 2014-04-23 Dietmar Klemm
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