Close limit evolution of Kerr-Schild type initial data for binary black holes

Abstract

We evolve the binary black hole initial data family proposed by Bishop {\em et al.} in the limit in which the black holes are close to each other. We present an exact solution of the linearized initial value problem based on their proposal and make use of a recently introduced generalized formalism for studying perturbations of Schwarzschild black holes in arbitrary coordinates to perform the evolution. We clarify the meaning of the free parameters of the initial data family through the results for the radiated energy and waveforms from the black hole collision.

8 pages, RevTex, four eps figures

References in corpus (3)

• Gauge invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates
• Asymptotically Flat Initial Data with Prescribed Regularity at Infinity
• Initial data for a head on collision of two Kerr-like black holes with close limit

Cited by in corpus (8)

• Gravitational Recoil from Binary Black Hole Mergers: the Close-Limit Approximation
• Improved numerical stability of stationary black hole evolution calculations
• NR/HEP: roadmap for the future
• Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data
• Retarded radiation from colliding black holes in the close limit
• The not-so-nonlinear nonlinearity of Einstein's equation
• Kerr-Schild type initial data for black holes with angular momenta
• Evolution of Kerr-Schild type initial data for binary black holes using the horizon penetrating Teukolsky equation