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In this paper, we employ the general equatorially symmetric two-soliton solution of the Einstein-Maxwell equations for elaborating two physically meaningful configurations describing a pair of equal Kerr-Newman corotating black holes…

General Relativity and Quantum Cosmology · Physics 2020-11-10 V. S. Manko , E. Ruiz

We study a stationary and axisymmetric binary system composed of two identical Kerr black holes, whose physical parameters satisfy the Smarr thermodynamic formula. Then, we use the formalism of geometrothermodynamics to show that the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and…

General Relativity and Quantum Cosmology · Physics 2015-11-06 V. S. Manko , E. Ruiz

We investigate stationary slim accretion disks around Kerr black holes. We construct a new numerical method based on the relaxation technique. We systematically cover the whole parameter space relevant to stellar mass X-ray binaries. We…

High Energy Astrophysical Phenomena · Physics 2009-10-26 Aleksander Sadowski

We present and discuss a 4-parameter stationary axisymmetric solution of the Einstein-Maxwell equations able to describe the exterior field of a rotating magnetized deformed mass. The solution arises as a system of two overlapping…

General Relativity and Quantum Cosmology · Physics 2018-05-23 V. S. Manko , E. Ruiz

We propose a method of determining solutions to the constraint equations of General Relativity approximately describing binary black holes in quasi-stationary circular orbits. Black holes with arbitrary linear momenta are constructed in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brian D. Baker

The Breton-Manko solution for two identical counter-rotating Kerr-Newman charged masses is rewritten in the physical parametrization involving Komar quantities. The new form of the solution turns out to be very convenient for verifying that…

General Relativity and Quantum Cosmology · Physics 2015-06-15 V. S. Manko , R. I. Rabadan , E. Ruiz

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symmetry, the limiting objects coincide for different solutions.…

General Relativity and Quantum Cosmology · Physics 2017-12-15 Filip Hejda , Jiří Bičák

Employing higher order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born-Infeld electric charge in odd D-dimensional spacetime. The seed solution is an odd dimensional extremal…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Masoud Allahverdizadeh , Seyed H. Hendi , José P. S. Lemos , Ahmad Sheykhi

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In the spirit of the Effective One Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Nagar , Thibault Damour , Angelo Tartaglia

A Kerr black hole with mass $M$ and angular momentum $J$ satisfies the extremality inequality $|J| \le M^2$. In the presence of matter and/or gravitational radiation, this bound needs to be reformulated in terms of local measurements of the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tanja Bode , Pablo Laguna , Richard A. Matzner

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

We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional…

High Energy Physics - Theory · Physics 2024-06-18 Stéphane Detournay , Thomas Smoes , Raphaela Wutte

We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frans Pretorius

Binary black holes which are both eccentric and undergo precession remain unexplored in numerical simulations. We present simulations of such systems which cover about 50 orbits at comparatively high mass ratios 5 and 7. The configurations…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Adam G. M. Lewis , Aaron Zimmerman , Harald P. Pfeiffer

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

For a successful detection of gravitational waves by LISA, it is essential to construct theoretical waveforms in a reliable manner. We discuss gravitational waves from an extreme mass ratio binary system which is expected to be a promising…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Yasushi Mino

Geometrical properties of the extreme Kerr black holes in the topological sectors of nonextreme and extreme configurations are studied. We find that the Euler characteristic plays an essential role to distinguish these two kinds of extreme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bin Wang , Ru-Keng Su , P. K. N. Yu

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In this limit, we compare the merger waveforms…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour , Alessandro Nagar