All redshift-mode contributions to Schwarzschild black-hole ringdown waveforms vanish exactly because causality forces the source-integrated Green function to vanish on the light cone.
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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 gravitational wave observations.
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Vanishing of all redshift modes in Schwarzschild ringdown
All redshift-mode contributions to Schwarzschild black-hole ringdown waveforms vanish exactly because causality forces the source-integrated Green function to vanish on the light cone.
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Quasinormal modes of black holes and black branes
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 gravitational wave observations.
- Black hole spectroscopy: from theory to experiment