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Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

We study series of the stationary solutions with asymptotic flatness properties in the Einstein-Maxwell-free scalar system because they are locally equivalent with the exterior solutions in some class of the scalar-tensor theories of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Tooru Tsuchida , Kazuya Watanabe

Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Juan Pablo Staforelli , Ricardo Troncoso

We present a general solution of the coupled Einstein-Maxwell field equations (without the source charges and currents) in three spacetime dimensions. We also admit any value of the cosmological constant. The whole family of such…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Jiri Podolsky , Matus Papajcik

In this work, we investigate the $n$-dimensional charged static black hole solutions in the Einstein-\ae ther theory. By taking the metric parameter $k$ to be $1,0$, and $-1$, we obtain the spherical, planar, and hyperbolic spacetimes…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Kai Lin , Fei-Hung Ho , Wei-Liang Qian

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Tod

In this paper, we study charged black hole solutions in 4-dimensional Einstein-Gauss-Bonnet gravity combined with ModMax nonlinear electrodynamics. This is a conformally invariant extension of Maxwell theory that effectively describes…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Bilel Hamil

We study an electric field created by a static electric charge near the higher dimensional Reissner-Nordstrom black hole. The relation between the static Green functions on the D-dimensional Reissner-Nordstrom background and on the…

High Energy Physics - Theory · Physics 2015-04-01 Valeri P. Frolov , Andrei Zelnikov

We establish the equality of the ADM mass and the total electric charge for asymptotically flat, static electrovac black hole spacetimes with completely degenerate, not necessarily connected horizon.

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba

We show that static electro--vacuum black hole space--times containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non--degenerate components of the event horizon do not exist. This is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Piotr T. Chrusciel , Paul Tod

An exhaustive classification of certain class of static solutions for the five-dimensional Einstein-Gauss-Bonnet theory in vacuum is presented. The class of metrics under consideration is such that the spacelike section is a warped product…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Dotti , Julio Oliva , Ricardo Troncoso

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We study the phase structure and equilibrium state space geometry of R-charged black holes in $D = 5$, 4 and 7 and the corresponding rotating $D3$, $M2$ and $M5$ branes. For various charge configurations of the compact black holes in the…

High Energy Physics - Theory · Physics 2010-11-30 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta

We consider the problem of constructing cosmological solutions of the Einstein-Maxwell equations that contain multiple charged black holes. By considering the field equations as a set of constraint and evolution equations, we construct…

General Relativity and Quantum Cosmology · Physics 2017-07-07 Rashida Bibi , Timothy Clifton , Jessie Durk

The `runaway solutions' of the Lorentz-Dirac equation of a charged particle interacting with its own field in classical electrodynamics are well-known. This type of self accelerated phenomena also exists in the solutions of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anthony W. C. Lun , Ernest W. M. Chow

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

We extend the Majumdar-Papapetrou (MP) solution of the Einstein-Maxwell (EM) equations which is implied generally for static electric charge in non-rotating metrics to encompass equally well magnetic charges. In the absence of Higgs and…

General Relativity and Quantum Cosmology · Physics 2016-05-31 S. Habib Mazharimousavi , M. Halilsoy

In this paper we present a 5-parametric family of static asymptotically flat solutions for the superposed gravitational and electromagnetic fields of two Reissner-Nordstr\"om sources with arbitrary parameters -- masses, charges and…

General Relativity and Quantum Cosmology · Physics 2016-11-15 G. A. Alekseev , V. A. Belinski