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Title: Numerical relativity for D dimensional space-times: Head-on collisions of black holes and gravitational wave extraction
Author: Witek, Helvi
Zilhão, Miguel
Gualtieri, Leonardo
Cardoso, Vitor
Herdeiro, Carlos
Nerozzi, Andrea
Sperhake, Ulrich
Issue Date: 2010
Publisher: American Physical Society
Abstract: Higher dimensional black holes play an exciting role in fundamental physics, such as high energy physics. In this paper, we use the formalism and numerical code reported in [1] to study the head-on collision of two black holes. For this purpose we provide a detailed treatment of gravitational wave extraction in generic D dimensional space-times, which uses the Kodama-Ishibashi formalism. For the first time, we present the results of numerical simulations of the head-on collision in five space-time dimensions, together with the relevant physical quantities. We show that the total radiated energy, when two black holes collide from rest at infinity, is approximately (0.089 +/- 0.006)% of the center of mass energy, slightly larger than the 0.055% obtained in the four-dimensional case, and that the ringdown signal at late time is in very good agreement with perturbative calculations.
Peer review: yes
DOI: 10.1103/PhysRevD.82.104014
ISSN: 1550-7998
Appears in Collections:DFis - Artigos

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