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We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

We show that the Nariai-Bertotti Petrov type D, homogeneous solution of Einstein's vacuum field equations with a cosmological constant describes the space-time in the interaction region following the head-on collision of two homogeneous,…

General Relativity and Quantum Cosmology · Physics 2017-03-15 C. Barrabès , P. A. Hogan

A benchmark problem for numerical relativity has been the head-on collision of two black holes starting from the ``Misner initial data,'' a closed form momentarily stationary solution to the constraint equations with an adjustable closeness…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Peter Anninos , Richard H. Price , Jorge Pullin , Ed Seidel , Wai-Mo Suen

We study the head-on collision of linearly polarized, high frequency plane gravitational waves and their electromagnetic counterparts in the Einstein-Maxwell theory. The post-collision space-times are obtained by solving the vacuum…

General Relativity and Quantum Cosmology · Physics 2009-11-10 P. A. Hogan , D. M. Walsh

We present a new method of extracting gravitational radiation from three-dimensional numerical relativity codes and providing outer boundary conditions. Our approach matches the solution of a Cauchy evolution of Einstein's equations to a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. E. Rupright , A. M. Abrahams , L. Rezzolla

When two non-interacting plane impulsive gravitational waves undergo a head-on collision, the vacuum interaction region between the waves after the collision contains backscattered gravitational radiation from both waves. The two systems of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barrabès , G. F. Bressange , P. A. Hogan

We present a semi-analytical approach to the interaction of two (originally) Kerr black holes through a head-on collision process. An expression for the rate of emission of gravitational radiation is derived from an exact solution to the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Marcelo E. Araujo , Patricio S. Letelier , Samuel R. Oliveira

The behavior of hairy black hole solutions, obtained by the gravitational decoupling (GD) method, is investigated under scalar perturbations. The quasinormal mode frequencies of such solutions are regulated by GD hair. The numerically…

General Relativity and Quantum Cosmology · Physics 2022-10-31 R. T. Cavalcanti , R. C. de Paiva , R. da Rocha

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

We calculate the radiation accompanying gravitational collision of the domain wall and the point particle in five-dimensional spacetime. This process, which can be regarded as brane-particle bremsstrahlung, here called {\it branestrahlung},…

High Energy Physics - Theory · Physics 2016-03-31 Dmitry Gal'tsov , Elena Melkumova , Pavel Spirin

We study head-on collisions of unequal mass black hole binaries in D=5 space-time dimensions, with mass ratios between 1:1 and 1:4. Information about gravitational radiation is extracted by using the Kodama-Ishibashi gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2011-02-16 Helvi Witek , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Ulrich Sperhake , Miguel Zilhao

We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of both fundamental and observational consequences. We study the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Gabrielle Allen , Bernd Bruegmann , Gerd Lanfermann , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

We construct a class of linear partial differential equations describing general perturbations of non-rotating black holes in 3D Cartesian coordinates. In contrast to the usual approach, a single equation treats all radiative $\ell -m$…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Philippos Papadopoulos , Edward Seidel , Lee Wild

The cylindrically converging shock wave was numerically simulated by solving the Euler equations in cylindrical coordinates with TVD scheme and MUSCL approach, using Roe's approximate Riemann solver and super-bee nonlinear limiter. The…

Computational Engineering, Finance, and Science · Computer Science 2016-09-13 M. Shabouei , R. Ebrahimi , K. Mazaheri Body

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

We present results for two colliding black holes (BHs), with angular momentum, spin, and unequal mass. For the first time gravitational waveforms are computed for a grazing collision from a full 3D numerical evolution. The collision can be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Werner Benger , Bernd Bruegmann , Gerd Lanfermann , Lars Nerger , Edward Seidel , Ryoji Takahashi

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

We discuss possible origins for discrepancies observed in the radiated energies in head-on collisions of non-spinning binaries starting from Brill-Lindquist and superposed Kerr-Schild data. For this purpose, we discuss the impact of…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Ulrich Sperhake , Bernd Bruegmann , Jose Gonzalez , Mark Hannam , Sascha Husa

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

In this paper we consider the collision of spinning holes using first order perturbation theory of black holes (Teukolsky formalism). With these results (along with ones, we published in the past) one can predict the properties of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna