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Semianalytical estimates of scattering thresholds and gravitational radiation in ultrarelativistic black hole encounters

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arxiv 1003.0812 v2 pith:LSTHOSND submitted 2010-03-03 gr-qc hep-phhep-th

Semianalytical estimates of scattering thresholds and gravitational radiation in ultrarelativistic black hole encounters

classification gr-qc hep-phhep-th
keywords blackradiationholesemianalyticalcalculationcollisionsenergyestimates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted gravitational radiation. We explain many features of the energy spectra extracted from numerical relativity simulations using two complementary semianalytical calculations. In the first calculation we estimate the radiation by a "zero-frequency limit" analysis of the collision of two point particles with finite impact parameter. In the second calculation we replace one of the black holes by a point particle plunging with arbitrary energy and impact parameter into a Schwarzschild black hole, and we explore the multipolar structure of the radiation paying particular attention to the near-critical regime. We also use a geodesic analogy to provide qualitative estimates of the dependence of the scattering threshold on the black hole spin and on the dimensionality of the spacetime.

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Cited by 6 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. Spin-up and mass-gain in hyperbolic encounters of spinning black holes

    gr-qc 2025-10 unverdicted novelty 6.0

    Numerical relativity simulations of equal-mass black holes with initial spins from -0.7 to 0.7 in hyperbolic encounters find maximum spin-up of 0.3 and mass increase of 15%, with spin-up decreasing linearly with initi...

  3. 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.

  4. 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.

  5. Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results

    gr-qc 2025-12 unverdicted novelty 5.0

    Self-force calculations of radiated gravitational wave energy from hyperbolic orbits around Schwarzschild black holes agree with post-Minkowskian results for large impact parameters and velocities up to 0.7c, with fur...

  6. Plunge spectra as discriminators of black hole mimickers

    gr-qc 2025-09 unverdicted novelty 5.0

    Plunge spectra of extreme mass ratio events onto black hole mimickers show a low-frequency resonance comb and a high-frequency deviation from black hole behavior above Mω_th ≈ 0.39.