Highenergy collision of black holes in higher dimensions
Abstract
We compute the gravitational wave energy E_{rad} radiated in headon collisions of equalmass, nonspinning black holes in up to (D =8 )dimensional asymptotically flat spacetimes for boost velocities v up to about 90% of the speed of light. We identify two main regimes: weak radiation at velocities up to about 40% of the speed of light, and exponential growth of E_{rad} with v at larger velocities. Extrapolation to the speed of light predicts a limit of 12.9% (10.1, 7.7, 5.5, 4.5)% of the total mass that is lost in gravitational waves in D =4 (5, 6, 7, 8) spacetime dimensions. In agreement with perturbative calculations, we observe that the radiation is minimal for small but finite velocities, rather than for collisions starting from rest. Our computations support the identification of regimes with superPlanckian curvature outside the blackhole horizons reported by Okawa, Nakao, and Shibata [Phys. Rev. D 83, 121501(R) (2011), 10.1103/PhysRevD.83.121501].
 Publication:

Physical Review D
 Pub Date:
 November 2019
 DOI:
 10.1103/PhysRevD.100.104046
 arXiv:
 arXiv:1909.02997
 Bibcode:
 2019PhRvD.100j4046S
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 minor corrections to references