Relativistic metric backreaction from scalar dark matter clouds in EMRIs produces dominant polar gravitational wave corrections for Mμ ≲ 0.12, exceeding axial and scalar radiation channels at small separations.
Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects
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abstract
The well-known Regge-Wheeler equation describes the axial perturbations of Schwarzschild metric in the linear approximation. From a mathematical point of view it presents a particular case of the confluent Heun equation and can be solved exactly, due to recent mathematical developments. We present the basic properties of its general solution. A novel analytical approach and numerical techniques for study the boundary problems which correspond to quasi-normal modes of black holes and other simple models of compact objects are developed.
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gr-qc 4representative citing papers
Exact time-domain Green function computed for the Pöschl-Teller approximation to black-hole perturbation potentials, revealing additional early-time exponentially growing modes and a light-cone plus historical waveform decomposition.
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.
This review surveys calculations and interpretations of quasinormal modes for black holes in astrophysics, higher dimensions, and holographic duals without presenting new results.
citing papers explorer
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Relativistic signatures of scalar dark matter in extreme-mass-ratio inspirals
Relativistic metric backreaction from scalar dark matter clouds in EMRIs produces dominant polar gravitational wave corrections for Mμ ≲ 0.12, exceeding axial and scalar radiation channels at small separations.
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Green function of the P\"{o}schl-Teller potential
Exact time-domain Green function computed for the Pöschl-Teller approximation to black-hole perturbation potentials, revealing additional early-time exponentially growing modes and a light-cone plus historical waveform decomposition.
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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.
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Quasinormal modes of black holes: from astrophysics to string theory
This review surveys calculations and interpretations of quasinormal modes for black holes in astrophysics, higher dimensions, and holographic duals without presenting new results.