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We study the even-parity $\ell=2$ perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potential and a source term. The source term is quadratic in terms…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

Within Einstein's theory of gravity, any compact object heavier than a few solar masses must be a black hole. Any observation showing otherwise would imply either new physics beyond General Relativity or new exotic matter fields beyond the…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Elisa Maggio , Paolo Pani , Guilherme Raposo

We review sources of high-frequency gravitational waves, summarizing our current understanding of emission mechanisms, expected amplitudes and event rates. The most promising sources are gravitational collapse (formation of black holes or…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Kostas D. Kokkotas , Nikolaos Stergioulas

The International Pulsar Timing Array 2nd data release is the combination of datasets from worldwide collaborations. In this study, we search for continuous waves: gravitational wave signals produced by individual supermassive black hole…

General Relativity and Quantum Cosmology · Physics 2023-03-29 M. Falxa , S. Babak , P. T. Baker , B. Bécsy , A. Chalumeau , S. Chen , Z. Chen , N. J. Cornish , L. Guillemot , J. S. Hazboun , C. M. F. Mingarelli , A. Parthasarathy , A. Petiteau , N. S. Pol , A. Sesana , S. B. Spolaor , S. R. Taylor , G. Theureau , M. Vallisneri , S. J. Vigeland , C. A. Witt , X. Zhu , J. Antoniadis , Z. Arzoumanian , M. Bailes , N. D. R. Bhat , L. Blecha , A. Brazier , P. R. Brook , N. Caballero , A. D. Cameron , J. A. Casey-Clyde , D. Champion , M. Charisi , S. Chatterjee , I. Cognard , J. M. Cordes , F. Crawford , H. T. Cromartie , K. Crowter , S. Dai , M. E. DeCesar , P. B. Demorest , G. Desvignes , T. Dolch , B. Drachler , Y. Feng , E. C. Ferrara , W. Fiore , E. Fonseca , N. Garver-Daniels , J. Glaser , B. Goncharov , D. C. Good , J. Griessmeier , Y. J. Guo , K. Gültekin , G. Hobbs , H. Hu , K. Islo , J. Jang , R. J. Jennings , A. D. Johnson , M. L. Jones , J. Kaczmarek , A. R. Kaiser , D. L. Kaplan , M. Keith , L. Z. Kelley , M. Kerr , J. S. Key , N. Laal , M. T. Lam , W. G. Lamb , T. J. W. Lazio , K. Liu , T. Liu , J. Luo , R. S. Lynch , D. R. Madison , R. Main , R. Manchester , A. McEwen , J. McKee , M. A. McLaughlin , C. Ng , D. J. Nice , S. Ocker , K. D. Olum , S. Osłowski , T. T. Pennucci , B. B. P. Perera , D. Perrodin , N. Porayko , A. Possenti , H. Quelquejay-Leclere , S. M. Ransom , P. S. Ray , D. J. Reardon , C. J. Russell , A. Samajdar , J. Sarkissian , L. Schult , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. J. Simon , M. Siwek , T. L. Smith , L. Speri , R. Spiewak , I. H. Stairs , B. Stappers , D. R. Stinebring , J. K. Swiggum , C. Tiburzi , J. Turner , A. Vecchio , J. P. W. Verbiest , H. Wahl , S. Q. Wang , J. Wang , J. Wang , Z. Wu , L. Zhang , S. Zhang

Gravitational wave detectors in space, particularly the LISA project, can study a rich variety of astronomical systems whose gravitational radiation is not detectable from the ground, because it is emitted in the low-frequency gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. F. Schutz

According to the theory of general relativity, the relative acceleration of masses generates gravitational radiation. Although gravitational radiation has not yet been detected, it is believed that extremely violent cosmic events, such as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Douglas N. Arnold , Arup Mukherjee , Luc Pouly

We present general relativistic correction terms appearing in Newton's gravity to the second-order perturbations of cosmological fluids. In our previous work we have shown that to the second-order perturbations, the density and velocity…

Astrophysics · Physics 2008-12-18 J. Hwang , H. Noh

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

Supersymmetry predicts multiple flat directions, some of which carry a net baryon or lepton number. Condensates in such directions form during inflation and later fragment into Q-balls, which can become the building blocks of primordial…

High Energy Physics - Phenomenology · Physics 2023-08-31 Marcos M. Flores , Alexander Kusenko , Lauren Pearce , Yuber F. Perez-Gonzalez , Graham White

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Seth Hopper , Charles R. Evans

The satellite observatory LISA will be capable of detecting gravitational waves from extreme mass ratio inspirals (EMRIs), such as a small black hole orbiting a supermassive black hole. The gravitational effects of the much smaller mass can…

General Relativity and Quantum Cosmology · Physics 2009-04-02 Mark V. Berndtson

Inspirals of rotating stellar-mass compact objects into massive black holes are influenced by the spin-curvature coupling, which drives the compact body away from geodesic motion due to its rotation. I formulate the Hamilton-Jacobi equation…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Vojtěch Witzany

Gravitational wave solutions to Einstein's equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Oscar J. C. Dias , Jose' P. S. Lemos

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Vojtěch Witzany , Gabriel Andres Piovano

The post-Newtonian expansion appears to be a relevant tool for predicting the gravitational waveforms generated by some astrophysical systems such as binaries. In particular, inspiralling compact binaries are well-modelled by a system of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

In this work, we base on the second-order post-Minkowskian equations of motion, and apply an iterative technique to analytically derive the gravitational deflection of the relativistic particles in the equatorial plane of Kerr-Newman black…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Guansheng He , Wenbin Lin

The computation of gravitational radiation generated by the coalescence of inspiralling binary black holes is nowdays one of the main goals of numerical relativity. Perturbation theory has emerged as an ubiquitous tool for all those…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manuela Campanelli

Double white dwarf binaries in the Galaxy dominate the gravitational wave sky and would be detectable for an instrument such as LISA. Most studies have calculated the expected gravitational wave signal under the assumption that the binary…

High Energy Astrophysical Phenomena · Physics 2015-06-05 D. van den Broek , G. Nelemans , M. Dan , S. Rosswog

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes
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