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The high-energy collision of two black holes

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arxiv 0806.1738 v2 pith:ZBZ3PZPE submitted 2008-06-10 gr-qc hep-phhep-th

The high-energy collision of two black holes

U. Sperhake , V. Cardoso , F. Pretorius , E. Berti , J. A. Gonzalez This is my paper
classification gr-qc hep-phhep-th
keywords blackcalculationscollisionholeholesmassableanalytic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the head-on collision of two highly boosted equal mass, nonrotating black holes. We determine the waveforms, radiated energies, and mode excitation in the center of mass frame for a variety of boosts. For the first time we are able to compare analytic calculations, black hole perturbation theory, and strong field, nonlinear numerical calculations for this problem. Extrapolation of our results, which include velocities of up to 0.94c, indicate that in the ultra-relativistic regime about (14\pm 3)% of the energy is converted into gravitational waves. This gives rise to a luminosity of order 10^-2 c^5/G, the largest known so far in a black hole merger.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Trapping, Irregular Waveforms, and Efficient Radiation in Ultra-relativistic Black Hole Encounters

    gr-qc 2026-04 unverdicted novelty 7.0

    Ultra-relativistic black hole flybys can radiate over 65% of their energy in gravitational waves via irregular waveforms caused by radiation trapping and lensing, without coalescence.

  2. Gravitational Wave Energy Emitted in the Head-On Collision of Two Black Holes

    gr-qc 2026-06 unverdicted novelty 5.0

    Analytic model predicts 13.8% of initial energy emitted as gravitational waves in head-on equal-mass black hole collisions with no free parameters.

  3. Gravitational Wave Energy Emitted in the Head-On Collision of Two Black Holes

    gr-qc 2026-06 unverdicted novelty 5.0

    An analytic model with no free parameters predicts 13.8% of initial energy radiated as gravitational waves for light-speed head-on equal-mass black hole collisions.

  4. Quasinormal modes of black holes and black branes

    gr-qc 2009-05 unverdicted novelty 2.0

    Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...