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The motion of spinning particles around compact objects, for example a rotating stellar object moving around a supermassive black hole, is described by differential equations that are, in general, non-integrable. In this work, we present a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Jose Miguel Ladino , Carlos Andrés del Valle , Eduard Larrañaga

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhen Li

In a recent paper arXiv:0709.0299, we introduced a spin expansion that provides a simple yet powerful way to understand aspects of binary black hole (BBH) merger. This approach relies on the symmetry properties of initial and final…

Astrophysics · Physics 2008-11-26 Latham Boyle , Michael Kesden

We present a novel approach to the numerical computation of quasi-normal modes, based on the first-order (in radial derivative) formulation of the equations of motion and using a matrix version of the continued fraction method. This…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Hugo Roussille , David Langlois , Karim Noui

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

A state of a black hole in loop quantum gravity is given by a distribution of spins on punctures on the horizon. The distribution is of the Boltzmann type, with the area playing the role of the energy. In investigations where the total area…

General Relativity and Quantum Cosmology · Physics 2009-05-18 A. Ghosh , P. Mitra

In the curved spacetime of a black hole, quantum physics gives rise to distinctive effects such as Hawking radiation and maximally fast scrambling. Here, we present a scheme for an analogue quantum simulation of (1 + 1) and (2 +…

Quantum Gases · Physics 2025-03-13 Asmae Benhemou , Georgia Nixon , Aydin Deger , Ulrich Schneider , Jiannis K. Pachos

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard A. Matzner , Mijan F. Huq , Deirdre Shoemaker

We generalize the effective point particle approach to black hole dynamics to include spin. In this approach dissipative effects are captured by degrees of freedom localized on the wordline. The absorptive properties of the black hole are…

High Energy Physics - Theory · Physics 2012-01-19 Rafael A. Porto

In this paper we study the dynamics of trajectory of a spinning particle in a Schwarzschild spacetime involving a global monopole. We set up the equations of motion and find three types of trajectories. We study the conditions that a…

General Relativity and Quantum Cosmology · Physics 2014-09-01 Qihong Huang , Juhua Chen , Yongjiu Wang

We study the motion of a spinning particle with gravimagnetic moment in Schwarzschild-like spacetimes with a metric $ds^2=-f(r) dt^2 + f^{-1}(r) dr^2 + r^2 d\Omega^2$, specifically we deal with Schwarzschild, Reissner-Nordstrom black holes…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Walberto Guzmán-Ramírez , Ricardo Becerril , Susana Valdez-Alvarado , Alexei A. Deriglazov

We study binary spinning black holes to display the long term individual spin dynamics. We perform a full numerical simulation starting at an initial proper separation of $d\approx25M$ between equal mass holes and evolve them down to merger…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Carlos O. Lousto , James Healy

We discuss a new N-body simulation method for studying black hole binary dynamics. This method avoids previous numerical problems due to large mass ratios and trapped orbits with short periods. A treatment of relativistic effects is…

Astrophysics · Physics 2009-11-07 Sverre J Aarseth

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH)…

General Relativity and Quantum Cosmology · Physics 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines

We discuss and implement a spectral method approach to computing stationary and axisymmetric black hole solutions and their properties in modified theories of gravity. The resulting code is written in the Julia language and is transparent…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Pedro G. S. Fernandes , David J. Mulryne

Gravitational spectroscopy - the measurement of the quasi-normal modes of a black hole from the ringdown signal of a binary black hole coalescence - is one of the most promising tools to test gravity in the strong-field, large-curvature…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Lorenzo Pierini , Leonardo Gualtieri

Several improvements in numerical methods and gauge choice are presented that make it possible now to perform simulations of the merger and ringdown phases of "generic" binary black-hole evolutions using the pseudo-spectral evolution code…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Béla Szilágyi , Lee Lindblom , Mark A. Scheel
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