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Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data

Hirotaka Yoshino·Tetsuya Shiromizu·Masaru Shibata
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Abstract

Motivated by the TeV-scale gravity scenarios, we study gravitational radiation in the head-on collision of two black holes in higher dimensional spacetimes using a close-limit approximation. We prepare time-symmetric initial data sets for two black holes (the so-called Brill-Lindquist initial data) and numerically evolve the spacetime in terms of a gauge invariant formulation for the perturbation around the higher-dimensional Schwarzschild black holes. The waveform and radiated energy of gravitational waves emitted in the head-on collision are clarified. Also, the complex frequencies of fundamental quasinormal modes of higher-dimensional Schwarzschild black holes, which have not been accurately derived so far, are determined.

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Hirotaka Yoshino, Tetsuya Shiromizu, Masaru Shibata. 2005-10-24. Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data. https://doi.org/10.1103/physrevd.72.084020

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