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This paper continues our work on black holes in the framework of the Regge calculus, where the discrete version (with a certain edge length scale $b$ proportional to the Planck scale) of the classical solution emerges as an optimal starting…

General Relativity and Quantum Cosmology · Physics 2023-12-29 V. M. Khatsymovsky

Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the time-symmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Piotr Jaranowski , Gerhard Schäfer

We show that the exact solution of Einstein's equations describing a system of two aligned identical Kerr black holes separated by a massless strut follows straightforwardly from the extended 2-soliton solution possessing equatorial…

General Relativity and Quantum Cosmology · Physics 2017-11-22 V. S. Manko , E. Ruiz

We present a technique that can be used to generate a static, axisymmetric solution of the Einstein-Maxwell-Dilaton equations from a stationary, axisymmetric solution of the vacuum Einstein equations. Starting from the Kerr solution,…

High Energy Physics - Theory · Physics 2009-11-07 Y. C. Liang , Edward Teo

It is shown that the equilibrium configurations of two spherical masses carrying charges of opposite sign that are present in Bonnor's approximate model for two charged particles and also in the exact double-Reissner-Nordstrom solution are…

General Relativity and Quantum Cosmology · Physics 2009-10-21 V. S. Manko , E. Ruiz

We investigate static and rotating charged spherically symmetric solutions in the framework of $f({\cal R})$ gravity, allowing additionally the electromagnetic sector to depart from linearity. Applying a convenient, dual description for the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 G. G. L. Nashed , Emmanuel N. Saridakis

An exact and analytical solution, in four-dimensional general relativity, describing a collinear array of an arbitrary number of Kerr black holes inside an expanding bubble of nothing is built, thanks to the inverse scattering technique.…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Marco Astorino

By applying a set of Hassan-Sen transformations and string dualities to the Kerr-Godel solution of minimal D=5 supergravity we derive a four parameter family of five dimensional solutions in type II string theory. They describe rotating,…

High Energy Physics - Theory · Physics 2009-11-10 C. A. R. Herdeiro

By applying Newman's algorithm, the AdS_3 rotating black hole solution is ``derived'' from the nonrotating black hole solution of Banados, Teitelboim, and Zanelli (BTZ). The rotating BTZ solution derived in this fashion is given in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongsu Kim

Based on the Newman-Janis algorithm the Ayon-Beato-Garcia spacetime metric of the regular spherically symmetric, static and charged black hole has been converted into rotational form. It is shown that the derived solution for rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Bobir Toshmatov , Bobomurat Ahmedov , Ahmadjon Abdujabbarov , Zdenek Stuchlik

We present new analytic rotating AdS$_4$ black holes, found as solutions of 4d gauged $\mathcal{N}=2$ supergravity coupled to abelian vector multiplets with a symmetric scalar manifold. These configurations preserve two real supercharges…

High Energy Physics - Theory · Physics 2019-10-09 Kiril Hristov , Stefanos Katmadas , Chiara Toldo

Existence check of non-trivial, stationary axisymmetric black hole solutions in Brans-Dicke theory of gravity in different direction from those of Penrose, Thorne and Dykla, and Hawking is performed. Namely, working directly with the known…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongsu Kim

A model for determining the dimensionless spin parameter and mass of the black hole remnant of black hole-neutron star mergers with arbitrary initial black hole spin angular momentum, binary mass ratio, and neutron star mass and cold…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Francesco Pannarale

We revisit the relationship of inequality between the gravitational field energy and the Komar charge, both quantities evaluated at the event horizon, for static and spherically symmetric regular black hole solutions obtained with nonlinear…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Leonardo Balart , Francisco Peña

The microstate counting of charged rotating AdS$_5$ supersymmetric black holes has been reformulated in terms of an extremization problem, obtained from the superconformal index of the 4d dual SCFT. On the gravitational side this problem…

High Energy Physics - Theory · Physics 2023-07-26 Antonio Amariti , Alessia Segati

A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jiri Podolsky , Hryhorii Ovcharenko

We introduce a new method to construct solutions to the constraint equations of general relativity describing binary black holes in quasicircular orbit. Black hole pairs with arbitrary momenta can be constructed with a simple method…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thomas W. Baumgarte

We present a Kerr-Newman type stationary and axisymmetric solution that describes rotating black holes with a tidal charge in the Randall-Sundrum braneworld. The tidal charge appears as an imprint of nonlocal gravitational effects from the…

Astrophysics · Physics 2007-05-23 Alikram N. Aliev

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

We propose a novel ansatz, where the full black hole geometry is written as a linear in mass perturbation of the associated extremal black hole base. Contrary to its "standard" version, the corresponding "extremal Kerr-Schild form" is no…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Mokhtar Hassaine , David Kubiznak , Aravindhan Srinivasan