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Black Hole Scattering from Monodromy

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arxiv 1304.3781 v1 pith:TYSH4WPF submitted 2013-04-13 hep-th gr-qc

Alejandra Castro , Joshua M. Lapan , Alexander Maloney , Maria J. Rodriguez This is my paper · ORCID
classification hep-thgr-qc
keywords scatteringblackholepropertiesagreementanalyticanalyzecoefficients
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We study scattering coefficients in black hole spacetimes using analytic properties of complexified wave equations. For a concrete example, we analyze the singularities of the Teukolsky equation and relate the corresponding monodromies to scattering data. These techniques, valid in full generality, provide insights into complex-analytic properties of greybody factors and quasinormal modes. This leads to new perturbative and numerical methods which are in good agreement with previous results.

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Cited by 7 Pith papers

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

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    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

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    A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

  5. Connecting scattering, monodromy, and MST's renormalized angular momentum for the Teukolsky equation in Kerr spacetime

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The MST renormalized angular momentum for the Kerr Teukolsky equation is exactly related to the monodromy eigenvalues of the irregular singular point at infinity.

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    For black holes in subtracted geometry, the exact quasinormal-mode frequencies and the first law of thermodynamics imply the horizon area is quantized in units of 8π Planck areas.

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