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Binary black holes on quasicircular orbits with spins aligned with their orbital angular momentum have been testbeds for analytic and numerical relativity for decades, not least because symmetry ensures that such configurations are…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Davide Gerosa , Michael Kesden , Richard O'Shaughnessy , Antoine Klein , Emanuele Berti , Ulrich Sperhake , Daniele Trifirò

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alberto A. García Díaz

We present an exact five-dimensional ($5D$) rotating regular black hole metric, with a deviation parameter $k\geq 0$, that interpolates between the $5D$ Kerr black hole ($k=0$) and $5D$ Kerr-Newman ($r \gg k$). This $5D$ rotating regular…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Fazlay Ahmed , Dharm Veer Singh , Sushant G. Ghosh

We analytically solve the constraints in General Relativity for two black holes with arbitrary momenta and spin up to third order in these parameters. We compute the location and geometry of the apparent horizon, which depend on the spins,…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Leyla Ogurol , Tore Boybeyi , Bayram Tekin

We develop a formalism to compute the gravitational multipole moments and ratios of moments of non-extremal and of supersymmetric black holes in four dimensions, as well as of horizonless microstate geometries of the latter. For…

High Energy Physics - Theory · Physics 2020-12-07 Iosif Bena , Daniel R. Mayerson

General Relativity minimally coupled to a massive, free, complex scalar field, is shown to allow asymptotically flat solutions, non-singular on and outside the event horizon, describing two spinning black holes (2sBHs) in equilibrium, with…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Carlos A. R. Herdeiro , Eugen Radu

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Pedro Marronetti

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

We derive the form of the metric for static, nonsingular black holes with a de Sitter core, representing a deformation of the Schwarzschild solution, by assuming that the gravitational sources describe a flow between two conformal points,…

General Relativity and Quantum Cosmology · Physics 2023-06-30 Mariano Cadoni , Andrea Pierfrancesco Sanna

We obtain new non-extremal rotating black hole solutions in maximal five-dimensional gauged supergravity. They are characterised by five parameters, associated with the mass, the two angular momenta, and two independently-specifiable charge…

High Energy Physics - Theory · Physics 2008-11-26 Jianwei Mei , C. N. Pope

We investigate a previously constructed stationary solution of the vacuum Einstein equations, which represents a system of two non-extreme black holes with equal masses and opposite NUT charges, connected by a Misner string with tension.…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Gérard Clément

We look for physically realistic initial data in numerical relativity which are in agreement with post-Newtonian approximations. We propose a particular solution of the time-symmetric constraint equation, appropriate to two momentarily…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Luc Blanchet

We consider the near-horizon geometries of extremal, rotating black hole solutions of the vacuum Einstein equations, including a negative cosmological constant, in four and five dimensions. We assume the existence of one rotational symmetry…

High Energy Physics - Theory · Physics 2009-09-03 Hari K. Kunduri , James Lucietti

We consider the quasi-black hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasi-horizon. It is shown that there exists a perfect correspondence between the different mass contributions…

General Relativity and Quantum Cosmology · Physics 2009-09-02 José P. S. Lemos , Oleg B. Zaslavskii

We present detailed physics analyses of two different 4+1-dimensional asymptotically flat vacuum black hole solutions with spin in two independent planes: the doubly spinning black ring and the bicycling black ring system ("bi-rings"). The…

High Energy Physics - Theory · Physics 2008-11-26 Henriette Elvang , Maria J. Rodriguez

The general analysis of the relations between masses and angular momenta in the configurations composed of two balancing extremal Kerr particles is made on the basis of two exact solutions arising as extreme limits of the well-known…

General Relativity and Quantum Cosmology · Physics 2015-03-17 I. Cabrera-Munguia , V. S. Manko , E. Ruiz

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

We evolve a binary black hole system bearing a mass ratio of $q=m_1/m_2=2/3$ and individual spins of $S^z_1/m_1^2=0.95$ and $S^z_2/m_2^2=-0.95$ in a configuration where the large black hole has its spin antialigned with the orbital angular…

General Relativity and Quantum Cosmology · Physics 2018-05-23 James Healy , Carlos O. Lousto , Ian Ruchlin , Yosef Zlochower

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin
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