Up to eleven: radiation from particles with arbitrary energy falling into higher-dimensional black holes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, 4 figures, 2 tables

Scientific paper

10.1103/PhysRevD.83.084018

We consider point particles with arbitrary energy per unit mass E that fall radially into a higher-dimensional, nonrotating, asymptotically flat black hole. We compute the energy and linear momentum radiated in this process as functions of E and of the spacetime dimensionality D=n+2 for n=2,...,9 (in some cases we go up to 11). We find that the total energy radiated increases with n for particles falling from rest (E=1). For fixed particle energies 111. Our results are in very good agreement with numerical simulations of low-energy, unequal-mass black hole collisions in D=5 (that will be reported elsewhere) and they are a useful benchmark for future nonlinear evolutions of the higher-dimensional Einstein equations.

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