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Nonlinearities of Schwarzschild Black Hole Head-on Collisions

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arxiv 2508.17993 v1 pith:ZLXBG77U submitted 2025-08-25 gr-qc astro-ph.COhep-phhep-th

Nonlinearities of Schwarzschild Black Hole Head-on Collisions

Alex Kehagias , Davide Perrone , Antonio Riotto This is my paper
classification gr-qc astro-ph.COhep-phhep-th
keywords blackhead-onnonlinearitiesschwarzschildalthoughamplitudeanalyticallybootstrapping
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes. Although being a highly nonlinear event, second-order perturbation theory suffices and that nonlinearities may be derived by a simple bootstrapping procedure.

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  1. Computing nonlinearity ratios using second order black hole perturbation theory

    gr-qc 2025-11 conditional novelty 6.0

    For the (2,2)×(2,2)→(4,4) channel, the WKB/matched-asymptotics scheme yields nonlinearity ratio 0.164 at infinity and 0.055 at the horizon, matching numerical relativity within its spread.