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A new solution of four-dimensional vacuum General Relativity is presented. It describes the near horizon region of the extreme (maximally spinning) binary black hole system with two identical extreme Kerr black holes held in equilibrium by…

High Energy Physics - Theory · Physics 2019-10-02 Jacob Ciafre , Maria J. Rodriguez

Every spacetime that is asymptotically flat near null infinity can be conformally mapped via a spatial inversion onto the geometry around an extremal, non-rotating and non-expanding horizon. We set up a dictionary for this geometric…

High Energy Physics - Theory · Physics 2026-02-24 Shreyansh Agrawal , Panagiotis Charalambous , Laura Donnay

In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Farook Rahaman , P. K. F. Kuhfittig , B. C. Bhui , Masiur Rahaman , Saibal Ray , U. F. Mondal

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

General Relativity and Quantum Cosmology · Physics 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

Radiative properties of gravitational and electromagnetic fields generated by uniformly accelerated charged black holes in asymptotically de Sitter spacetime are studied by analyzing the C-metric exact solution of the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pavel Krtous , Jiri Podolsky

Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard…

General Relativity and Quantum Cosmology · Physics 2015-06-17 F. R. Klinkhamer

To consider the inevitable cosmic magnetic effects instead of the unknown dark sector of matter/energy on the inflation phase of the expanding universe some authors have proposed several extended exotic Einstein-Maxwell gravities which are…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Hossein Ghaffarnejad , Elham Ghasemi

In Einstein-Maxwell-Chern-Simons theory the extremal Reissner-Nordstr\"om solution is no longer the single extremal solution with vanishing angular momentum, when the Chern-Simons coupling constant reaches a critical value. Instead a whole…

General Relativity and Quantum Cosmology · Physics 2014-09-02 Jose Luis Blazquez-Salcedo , Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu

In this letter we introduce the noncommutative geometry into the standard Einstein-Hilbert-Maxwell action via the $\partial_t\wedge\partial_\varphi$ Drinfeld twist and solve the equation of motion pertubatively in the expansion of the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Filip Požar

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime…

High Energy Physics - Theory · Physics 2009-11-10 Marek Rogatko

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt

We derive for the first time the form of the spiral null geodesics around the photon sphere of the Reissner-Nordstrom black hole in the de Sitter expanding universe. Moreover, we obtain the principal parameter we need for deriving,…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ion I. Cotaescu

The null geodesics around the charged black hole spacetimes are investigated in the mimetic gravity framework when Einstein's gravity is coupled to a nonlinear electromagnetic field. The photon paths in nonlinear electrodynamics are…

General Relativity and Quantum Cosmology · Physics 2023-04-18 M. Haditale , B. Malekolkalami

We review some aspects of the attractor mechanism for extremal black holes of (not necessarily supersymmetric) theories coupling Einstein gravity to scalars and Maxwell vector fields. Thence, we consider N=2 and N=8, d=4 supergravities,…

High Energy Physics - Theory · Physics 2008-11-26 S. Ferrara , A. Marrani

The extreme Reissner-Nordstr\"om solution has a discrete conformal isometry that maps the future event horizon to future null infinity and vice versa, the Couch-Torrence inversion isometry. We study the dynamics of a probe Maxwell field on…

High Energy Physics - Theory · Physics 2021-02-03 Karan Fernandes , Debodirna Ghosh , Amitabh Virmani

In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norstr\"om black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 David Senjaya , Supakchai Ponglertsakul

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

We obtain and study static, spherically symmetric solutions for the Einstein - generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Kirill A. Bronnikov , Julio Cesar Fabris

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with $p_{r} = -\rho$ which resembles the Maxwell stress tensor at $r >>…

General Relativity and Quantum Cosmology · Physics 2015-11-02 Hristu Culetu

We consider the linearized perturbations of near-horizon extremal Reissner-Nordstr\"om black holes in $d$-dimensional Einstein-Maxwell-Gauss-Bonnet gravity and seven-dimensional third-order Lovelock gravity. We find the solutions for the…

High Energy Physics - Theory · Physics 2025-08-22 Robert J. Saskowski