Quasi-circular orbits of conformal thin-sandwich puncture binary black holes

Abstract

I construct initial data for equal-mass irrotational binary black holes using the conformal thin-sandwich puncture (CTSP) approach. I locate quasi-circular orbits using the effective-potential method, and estimate the location of the innermost stable circular orbit (ISCO). The ISCO prediction is consistent with results for conformal thin-sandwich data produced using excision techniques. These results also show that the ISCOs predicted by the effective-potential and ADM-Komar mass-comparison methods agree for conformal thin-sandwich data, just as they did for Bowen-York data.

7 pages, 1 figure. Added discussion of the Komar mass, and slight modifications for published version

References in corpus (6)

• Accurate black hole evolutions by fourth-order numerical relativity
• Excision boundary conditions for black hole initial data
• Dynamical evolution of quasi-circular binary black hole data
• A double-domain spectral method for black hole excision data
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• Conformal thin-sandwich puncture initial data for boosted black holes

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• Improved initial data for black hole binaries by asymptotic matching of post-Newtonian and perturbed black hole solutions
• Beyond the Bowen-York extrinsic curvature for spinning black holes
• Construction of initial data for 3+1 numerical relativity
• Approximate initial data for binary black holes
• Numerical method for binary black hole/neutron star initial data: Code test
• Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
• Puncture black hole initial data in the conformal thin-sandwich formalism