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We present numerical evolutions of three equal-mass black holes using the moving puncture approach. We calculate puncture initial data for three black holes solving the constraint equations by means of a high-order multigrid elliptic…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Pablo Galaviz , Bernd Bruegmann , Zhoujian Cao

The discovery of frame-dragging effects in binary pulsar timing experiments requires a compact companion with sufficiently large spin. A pulsar orbiting a fast rotating black hole could provide an appropriate test system. In this paper we…

Astrophysics · Physics 2007-05-23 N. Wex

In this paper, we study the recently discovered family of higher dimensional Kerr-AdS black holes with an extra NUT-like parameter. We show that the inverse metric is additively separable after multiplication by a simple function. This…

High Energy Physics - Theory · Physics 2009-11-11 Paul Davis

We calculate the effective Komar conserved quantities for the $N+1$ dimensional charged Myers-Perry spacetime. At the event horizon we derive a new identity $K_{\chi^{\mu}}=2ST$ where the left hand side is the Komar conserved quantity…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Rabin Banerjee , Bibhas Ranjan Majhi , Sujoy Kumar Modak , Saurav Samanta

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Shuanglin Huang , Xuefeng Feng , Yun-Kau Lau

In bimetric gravity, nonbidiagonal solutions describing a static, spherically symmetric, and asymptotically flat black hole are given by a pair of Schwarzschild geometries, one in each metric sector. The two geometries are linked by a…

General Relativity and Quantum Cosmology · Physics 2025-05-12 David Brizuela , Marco de Cesare , Araceli Soler Oficial

We study space-time Killing vectors in terms of their "lapse and shift" relative to some spacelike slice. We give a necessary and sufficient condition in order for these lapse-shift pairs, which we call Killing initial data (KID'S), to form…

General Relativity and Quantum Cosmology · Physics 2010-04-06 R. Beig , Piotr T. Chrusciel

We find necessary and sufficient conditions ensuring that the vacuum development of an initial data set of the Einstein's field equations admits a conformal Killing vector. We refer to these conditions as conformal Killing initial data…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Alfonso García-Parrado , Igor Khavkine

We find Abelian gauge fields that double copy to a large class of black hole spacetimes with spherical horizon topology known as the Kerr-NUT-(A)dS family. Using a multi-Kerr-Schild prescription, we extend the previously-known double copy…

High Energy Physics - Theory · Physics 2023-04-13 Samarth Chawla , Cynthia Keeler

We construct an approximate metric that represents the spacetime of spinning binary black holes (BBH) approaching merger. We build the metric as an analytical superposition of two Kerr metrics in harmonic coordinates, where we transform…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Luciano Combi , Federico G. Lopez Armengol , Manuela Campanelli , Brennan Ireland , Scott C. Noble , Hiroyuki Nakano , Dennis Bowen

We consider Kerr spacetimes with parameters a and M such that |a|<< M, Kerr-Newman spacetimes with parameters |Q|<< M, |a|<< M, and more generally, stationary axisymmetric black hole exterior spacetimes which are sufficiently close to a…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos , Igor Rodnianski

We study Killing vector fields in asymptotically flat space-times. We prove the following result, implicitly assumed in the uniqueness theory of stationary black holes. If the conditions of the rigidity part of the positive energy theorem…

General Relativity and Quantum Cosmology · Physics 2016-08-31 R. Beig , Piotr T. Chrusciel

Finding affine parameters for null geodesics is often of considerable physical importance, especially when studying the paths swept out by null geodesics or when dealing with conservation laws and/or averaged energy conditions. But…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Matt Visser

We consider trajectories of massless particles in the presence of charged black holes in asymptotically AdS spacetimes in arbitrary dimensions. We study the properties of the photon ring in the (near-)extremal limit and show that the photon…

High Energy Physics - Theory · Physics 2025-03-25 Upamanyu Moitra

In this paper, we show that some five-dimensional rotating black hole solutions of both gauged and ungauged supergravity, with independent rotation parameters and three charges admit separable solutions to the massless Hamilton-Jacobi and…

High Energy Physics - Theory · Physics 2009-11-11 Paul Davis

We consider initial data for extreme vacuum asymptotically flat black holes with $\mathbb{R} \times U(1)^2$ symmetry. Such geometries are critical points of a mass functional defined for a wide class of asymptotically flat, `$(t-\phi^i)$'…

General Relativity and Quantum Cosmology · Physics 2015-08-13 Aghil Alaee , Hari K. Kunduri

In this paper, binary systems of unequal Kerr-Newman black holes located on the axis and apart by a massless strut are investigated. After adopting a fitting parametrization, the conditions on the axis and the one eliminating the individual…

General Relativity and Quantum Cosmology · Physics 2021-10-05 I. Cabrera-Munguia

Semiclassical perturbations to the Reissner-Nordstrom metric caused by the presence of a quantized massive scalar field with arbitrary curvature coupling are found to first order in \epsilon = \hbar/M^2. The DeWitt-Schwinger approximation…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Brett E. Taylor , William A. Hiscock , Paul R. Anderson

We demonstrate separability of the Dirac equation in weakly charged rotating black hole spacetimes in all dimensions. The electromagnetic field of the black hole is described by a test field approximation, with vector potential proportional…

General Relativity and Quantum Cosmology · Physics 2013-04-10 Marco Cariglia , Valeri P. Frolov , Pavel Krtous , David Kubiznak
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