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We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

Gravitational waves from merging binary black holes present exciting opportunities for understanding fundamental aspects of gravity, including nonlinearities in the strong-field regime. One challenge in studying and interpreting the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Siddharth Boyeneni , Jiaxi Wu , Elias R. Most

We investigate the gravitational energy-momentum distribution in the space-time of two black holes in circular orbit, in the context of the teleparallel equivalent of general relativity. This field configuration is important because…

General Relativity and Quantum Cosmology · Physics 2012-02-01 J. W. Maluf , S. C. Ulhoa , J. F. da Rocha-Neto

We report on a two-parameter family of exact asymptotically flat stationary solutions to Einstein-Maxwell theory. These solutions are free from ring singularities in a specific parameter range. They represent systems of two non-rotating…

General Relativity and Quantum Cosmology · Physics 2021-03-01 Gérard Clément

General relativity is a non-linear theory with the distinguishing feature that gravitational field energy also acts as gravitational charge density. In the well-known Schwarzschild solution describing field of an isolated massive body at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Naresh Dadhich

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Kostadin Trencevski , Emilija G. Celakoska , Vladimir Balan

In two-dimensional space-time, point particles can experience a geometric, dimension-specific gravity force, which modifies the usual geodesic equation of motion and provides a link between the cosmological constant and the vacuum…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Roman Jackiw

We obtain a new, exact, solution of the Einstein's equation in higher dimensions. The source is given by a static spherically symmetric, Gaussian distribution of mass and charge. De-localization of mass and charge is due to the presence of…

High Energy Physics - Theory · Physics 2009-02-19 Euro Spallucci , Anais Smailagic , Piero Nicolini

In this work are reviewed several aspects of gravitational lensing produced by astrophysical bodies that strongly curve the spacetime in their vicinity. When an object with a photon sphere (e.g. a black hole) is interposed between a source…

General Relativity and Quantum Cosmology · Physics 2014-09-15 Ernesto F. Eiroa

We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and…

High Energy Physics - Theory · Physics 2014-11-18 P. M. Sá , J. P. S. Lemos

We study the influence of phantom fields on strong field gravitational lensing. Supposing that the gravitational field of the supermassive central object of the Galaxy is described by a phantom black hole metric, we estimate the numerical…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Chikun Ding , Changqing Liu , Yuanyuan Xiao , Liqun Jiang , Rong-Gen Cai

A new version of nonsymmetric gravitational theory is presented. The field equations are expanded about the Minkowski metric, giving in lowest order the linear Einstein field equations and massive Proca field equations for the antisymmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. W. Moffat

We consider the Brill metric which is an electrovacuum solution to Einstein's field equation. It depends on three parameters, a mass parameter $m$, a NUT parameter $l$ and a charge parameter $e$. If the charge parameter is small, the metric…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Mourad Halla , Volker Perlick

An exact, plane wave solution of the gravitational field equations is investigated. The source stress tensor is represented by an anisotropic null fluid with energy flux to which the energy density $\rho$ and all pressures are finite…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Hristu Culetu

Electromagnetic duality is a symmetry of the source-free Einstein-Maxwell equations that rotates electric and magnetic fields while leaving the stress-energy tensor invariant. We present the first fully nonlinear realization of this…

General Relativity and Quantum Cosmology · Physics 2026-05-21 José Ferreira , Gabriele Bozzola , Carlos A. R. Herdeiro , Vasileios Paschalidis , Miguel Zilhão

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

Strong gravitational lensing occurs when photons pass through the vicinity of a black hole. We investigate this phenomenon in the context of a gravitational-wave event, specifically when a black hole is settling into its final state. The…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Zhen Zhong , Vitor Cardoso , Yifan Chen

We construct the first four-dimensional multi-black hole solution of general relativity with a positive cosmological constant. The solution consists of two static black holes whose gravitational attraction is balanced by the cosmic…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Oscar J. C. Dias , Gary W. Gibbons , Jorge E. Santos , Benson Way

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the fluid and the central source of the Schwarzschild metric. This system is described by means…

General Relativity and Quantum Cosmology · Physics 2018-11-26 J Ovalle , R Casadio , R da Rocha , A Sotomayor , Z Stuchlik

An asymptotically flat static solution of Einstein-Maxwell equations which describes the field of two non-extreme Reissner - Nordstr\"om sources in equilibrium is presented. It is expressed in terms of physical parameters of the sources…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Alekseev , V. A. Belinski
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