TY - JOUR
T1 - Numerical relativity for D dimensional space-times
T2 - Head-on collisions of black holes and gravitational wave extraction
AU - Witek, Helvi
AU - Zilhão, Miguel
AU - Gualtieri, Leonardo
AU - Cardoso, Vitor
AU - Herdeiro, Carlos
AU - Nerozzi, Andrea
AU - Sperhake, Ulrich
PY - 2010/11/5
Y1 - 2010/11/5
N2 - 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 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.
AB - 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 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.
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U2 - 10.1103/PhysRevD.82.104014
DO - 10.1103/PhysRevD.82.104014
M3 - Article
AN - SCOPUS:78651237233
SN - 1550-7998
VL - 82
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 10
M1 - 104014
ER -