A plunging particle around a Schwarzschild black hole in massive gravity excites quasibound states, with a claimed harmonic resonance amplifying the even-parity dipole mode.
Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator
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abstract
A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out. We follow the general approach of extracting the Green's matrix from the Green's matrix of the corresponding first order system. This construction is required in the cases where the differential equation set cannot be turned to an algebraic equation set via transform techniques.
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gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
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Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
A plunging particle around a Schwarzschild black hole in massive gravity excites quasibound states, with a claimed harmonic resonance amplifying the even-parity dipole mode.