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Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity

Miguel Alcubierre·Gabrielle Allen·Bernd Bruegmann·Gerd Lanfermann·Edward Seidel·Wai-Mo Suen·Malcolm Tobias
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Abstract

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 evolution of time-symmetric, axisymmetric {\it and} non-axisymmetric Brill waves, including waves so strong that they collapse to form black holes under their own self-gravity. The critical amplitude for black hole formation is determined. The gravitational waves emitted in the black hole formation process are compared to those emitted in the head-on collision of two Misner black holes.

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Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann, Gerd Lanfermann, Edward Seidel, Wai-Mo Suen, Malcolm Tobias. 1999-04-06. Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity. https://doi.org/10.1103/physrevd.61.041501

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