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Three different numerical techniques for solving a coupled channel Schroedinger equation are compared. This benchmark equation, which describes the collision between two ultracold atoms, consists of two channels, each containing the same…

Atomic Physics · Physics 2009-10-31 G. H. Rawitscher , B. D. Esry , E. Tiesinga , J. P. Burke

We study D-branes in the background of a gravitational shock wave. We consider the case of parallel D-branes located on opposite sides with respect to the shock wave. Their interaction is studied by evaluating the cylinder diagram using the…

High Energy Physics - Theory · Physics 2009-11-10 L. Girardello , C. Piccioni , M. Porrati

This paper discusses the problem of gravitational perturbations of radiating spacetimes. We lay out the theoretical framework for describing the interaction of external gravitational fields with a radiating spacetime. This is done by…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Manasse R. Mbonye , Ronald L. Mallett

We adapt a method of matching post-Newtonian and black-hole-perturbation theories on a timelike surface (which proved useful for understanding head-on black-hole-binary collisions) to treat equal-mass, inspiralling black-hole binaries. We…

General Relativity and Quantum Cosmology · Physics 2012-02-22 David A. Nichols , Yanbei Chen

We examine numerically the post-merger regime of two Schwarzschild black holes in non head-on collision. Our treatment is made in the realm of non-axisymmetric Robinson-Trautman spacetimes which are appropriate for the description of the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 R. F. Aranha , I. Damião Soares , E. V. Tonini

We consider gravitational radiation in the presence of non-compact extra dimensions. If their number is odd, all spacetime becomes odd-dimensional and formation of gravitational radiation becomes non-trivial because of violation of the…

General Relativity and Quantum Cosmology · Physics 2021-09-24 D. V. Gal'tsov , M. Khlopunov

We present the foundations of a new solution technique for the characteristic initial value problem (IVP) of colliding plane gravitational waves. It has extensive similarities to the approach of Alekseev and Griffiths in 2001, but we use an…

General Relativity and Quantum Cosmology · Physics 2018-01-23 Stefan Palenta , Reinhard Meinel

A pair of simple wave equations is presented for the symmetric gravitational and electromagnetic perturbations of a charged black hole. One of the equations is uncoupled, and the other has a source term given by the solution of the first…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Zolt'an Perj'es

We present convergent gravitational waveforms extracted from three-dimensional, numerical simulations in the wave zone and with causally disconnected boundaries. These waveforms last for multiple periods and are very accurate, showing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David R. Fiske , John G. Baker , James R. van Meter , Dae-Il Choi , Joan M. Centrella

We present a method for extracting gravitational waves from numerical spacetimes which generalizes and refines one of the standard methods based on the Regge--Wheeler--Zerilli perturbation formalism. [abridged] We then present fully…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrique Pazos , Ernst Nils Dorband , Alessandro Nagar , Carlos Palenzuela , Erik Schnetter , Manuel Tiglio

The oblique collisions and dynamical interference patterns of two-dimensional dispersive shock waves are studied numerically and analytically via the temporal dynamics induced by wedge-shaped initial conditions for the…

Pattern Formation and Solitons · Physics 2024-11-11 Gino Biondini , Alexander Bivolcic , Mark A. Hoefer

Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Emanuele Berti , Vitor Cardoso , Tanja Hinderer , Madalena Lemos , Frans Pretorius , Ulrich Sperhake , Nicolas Yunes

A one-dimensional discrete Boltzmann model for detonation simulation is presented. Instead of numerical solving Navier-Stokes equations, this model obtains the information of flow field through numerical solving specially discretized…

Fluid Dynamics · Physics 2019-02-20 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Zhihua Chen

We consider two ultrarelativistic shock waves propagating and colliding in five-dimensional Anti-de-Sitter spacetime. By transforming to Rosen coordinates, we are able to find the form of the metric shortly after the collision. Using…

High Energy Physics - Theory · Physics 2014-11-18 Daniel Grumiller , Paul Romatschke

In this paper, we have considered how to detect the processes of plane gravitational waves colliding. The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, and the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 Dongdong Wei , Xinhe Meng , Bin Wang

We review analytic methods to perform the post-Newtonian expansion of gravitational waves induced by a particle orbiting a massive compact body, based on the black hole perturbation theory. There exist two different methods of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Misao Sasaki , Hideyuki Tagoshi

We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge-Wheeler-Zerilli equations in time domain using hyperboloidal surfaces and a compactifying radial coordinate. We stress the importance of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Anil Zenginoglu

We perform fully non-linear numerical simulations of charged-black-hole collisions, described by the Einstein-Maxwell equations, and contrast the results against analytic expectations. We focus on head-on collisions of non-spinning black…

General Relativity and Quantum Cosmology · Physics 2012-07-06 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Gravitational waves are one of the most important diagnostic tools in the analysis of strong-gravity dynamics and have been turned into an observational channel with LIGO's detection of GW150914. Aside from their importance in astrophysics,…

General Relativity and Quantum Cosmology · Physics 2017-01-18 William G. Cook , Ulrich Sperhake

A large class of solutions of the Einstein-conformal scalar equations in D=2+1 and D=3+1 is identified. They describe the collisions of asymptotic conformal scalar waves and are generated from Einstein-minimally coupled scalar spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-17 C. Klimčík , P. Kolník