Radiation from particles with arbitrary energy falling into higher-dimensional black holes

Journal Article · Fri Apr 15 04:00:00 UTC 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.084018· OSTI ID:21541484

Berti, Emanuele ^[1]; Cardoso, Vitor ^[2]; Kipapa, Barnabas ^[1]

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1. Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677 (United States)
2. CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Universidade Tecnica de Lisboa-UTL, Av. Rovisco Pais 1, 1049 Lisboa (Portugal)

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 1<E{<=}2 we show explicitly that the radiation has a local minimum at some critical value of n, and then it increases with n. We conjecture that such a minimum exists also for higher particle energies. The present point-particle calculation breaks down when n=11, because then the radiated energy becomes larger than the particle mass. Quite interestingly, for n=11 the radiated energy predicted by our calculation would also violate Hawking's area bound. This hints at a qualitative change in gravitational radiation emission for n > or approx. 11. 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.

• OSTI ID: 21541484
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BENCHMARKS
BLACK HOLES
COLLISIONS
COMPUTERIZED SIMULATION
EINSTEIN FIELD EQUATIONS
EMISSION
EQUATIONS
EVOLUTION
FIELD EQUATIONS
GRAVITATIONAL RADIATION
LINEAR MOMENTUM
MASS
NONLINEAR PROBLEMS
PARTICLES
RADIATIONS
SIMULATION
SPACE-TIME