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Inspiraling supermassive black hole binary systems with high orbital eccentricity are important sources for space-based gravitational wave (GW) observatories like the Laser Interferometer Space Antenna (LISA). Eccentricity adds orbital…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Balázs Mikóczi , Bence Kocsis , Péter Forgács , Mátyás Vasúth

We explore the prospects for Advanced LIGO to detect gravitational waves from neutron stars and stellar mass black holes spiraling into intermediate-mass ($M\sim 50 M_\odot$ to $350 M_\odot$) black holes. We estimate an event rate for such…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Duncan A. Brown , Jeandrew Brink , Hua Fang , Jonathan R. Gair , Chao Li , Geoffrey Lovelace , Ilya Mandel , Kip S. Thorne

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

A common problem in physics and engineering is determination of the orientation of an object given its angular velocity. When the direction of the angular velocity changes in time, this is a nontrivial problem involving coupled differential…

General Relativity and Quantum Cosmology · Physics 2017-10-24 Michael Boyle

The dynamical evolution of binaries of intermediate-massive black holes (IMBHs, massive black holes with a mass ranging between $10^2$ and $10^4 M_{\odot}$) in stellar clusters has recently received an increasing amount of attention. This…

Astrophysics of Galaxies · Physics 2015-05-13 Pau Amaro-Seoane , Christoph Eichhorn , Edward K. Porter , Rainer Spurzem

Interpreting horizon-scale observations of astrophysical black holes demands a general understanding of null geodesics in the Kerr spacetime. These may be divided into two classes: "direct" rays that primarily determine the observational…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Samuel E. Gralla , Alexandru Lupsasca

Besides the transient effect, the passage of a gravitational wave also causes a persistent displacement in the relative position of an interferometer's test masses through the \emph{nonlinear memory effect}. This effect is generated by the…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Silvia Gasparotto , Rodrigo Vicente , Diego Blas , Alexander C. Jenkins , Enrico Barausse

Using the Reduced Basis approach, we efficiently compress and accurately represent the space of waveforms for non-precessing binary black hole inspirals, which constitutes a four dimensional parameter space (two masses, two spin…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Frank Herrmann , Scott E. Field , Chad R. Galley , Evan Ochsner , Manuel Tiglio

Gravitational waves from binary black hole mergers have allowed us to directly observe stellar-mass black hole binaries for the first time, and therefore explore their formation channels. One of the ways to infer how a binary system is…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Teagan A. Clarke , Isobel M. Romero-Shaw , Paul D. Lasky , Eric Thrane

Using complex analysis techniques we obtain precise asymptotic approximations for the kernels corresponding to the symmetric $\alpha$-stable processes and their fractional derivatives. We apply our method to general L\'evy processes whose…

Probability · Mathematics 2016-06-06 Sihun Jo , Minsuk Yang

We consider stellar-origin black hole binaries, which are among the main astrophysical sources for next generation gravitational wave (GW) detectors such as the Einstein Telescope (ET) and Cosmic Explorer (CE). Using population models…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Mauro Pieroni , Angelo Ricciardone , Enrico Barausse

Pulsar Timing Arrays (PTA) around the world are using the incredible consistency of millisecond pulsars to measure low frequency gravitational waves from (super)Massive Black Hole (MBH) binaries. We use comprehensive MBH merger models based…

High Energy Astrophysical Phenomena · Physics 2017-09-06 Luke Zoltan Kelley , Laura Blecha , Lars Hernquist , Alberto Sesana , Stephen R. Taylor

The next decade is expected to see the launch of one or more space based gravitational wave detectors: the European lead Laser Interferometer Space Antenna (LISA); and one or more Chinese mission concepts, Taiji and TianQin. One of the…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Neil J. Cornish

Starting with just the assumption of uniformly distributed orbital orientations, we derive expressions for the distributions of the Keplerian orbital elements as functions of arbitrary distributions of eccentricity and semi-major axis. We…

Instrumentation and Methods for Astrophysics · Physics 2011-01-24 Dmitry Savransky , Eric Cady , N. Jeremy Kasdin

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi

We study {\it analytically} the asymptotic quasinormal spectrum of fermionic fields in the Kerr spacetime. We find an analytic expression for these black-hole resonances in terms of the black-hole physical parameters: its Bekenstein-Hawking…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shahar Hod

We derive an exact formula $F(e)$ which provides a concrete estimate for the total number and angular momentum of gravitons emitted during the nonrelativistic inspiral of two black holes. We show that the function $F(e)$ is a slowly growing…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Youngjoo Chung , Hyun Seok Yang

Massive black hole binaries are the primary source of gravitational waves (GW) for the future eLISA observatory. The detection and parameter estimation of these sources to high redshift would provide invaluable information on the formation…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Edward K. Porter , Neil J. Cornish

As one step towards a systematic modeling of the electromagnetic (EM) emission from an inspiralling black hole binary we consider a simple scenario in which the binary moves in a uniform magnetic field anchored to a distant circumbinary…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Philipp Mösta , Carlos Palenzuela , Luciano Rezzolla , Luis Lehner , Shin'ichirou Yoshida , Denis Pollney

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