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High energy collisions of black holes numerically revisited

James HealyCenter for Computational Relativity and Gravitation, School of Mathematical Sciences, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York 14623, USAIan RuchlinCenter for Computational Relativity and Gravitation, School of Mathematical Sciences, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York 14623, USAC. O. LoustóCenter for Computational Relativity and Gravitation, School of Mathematical Sciences, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York 14623, USAYosef ZlochowerCenter for Computational Relativity and Gravitation, School of Mathematical Sciences, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York 14623, USA
2016en
ABI

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We use fully nonlinear numerical relativity techniques to estimate the maximum gravitational radiation emitted by high energy head-on collisions of nonspinning, equal-mass black holes. Our simulations include improvements in the construction of initial data, subsequent full numerical evolutions, and the computation of waveforms at infinity. The new initial data significantly reduce the spurious radiation content, allowing for initial speeds much closer to the speed of light, i.e., $v\ensuremath{\sim}0.99c$. Using these new techniques, we estimate the maximum radiated energy from head-on collisions to be ${E}_{\mathrm{max}}/{M}_{\mathrm{ADM}}=0.13\ifmmode\pm\else\textpm\fi{}0.01$. This value differs from the second-order perturbative (0.164) and zero-frequency-limit (0.17) analytic computations but is close to those obtained by thermodynamic arguments (0.134) and by previous numerical estimates $(0.14\ifmmode\pm\else\textpm\fi{}0.03)$.

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