Radiation from collapsing relativistic stars. I - Linearized odd-parity radiation

Astronomy and Astrophysics – Astronomy

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Electromagnetic Radiation, Gravitational Collapse, Gravitational Waves, Parity, Relativistic Theory, Stellar Models, Stellar Radiation, Black Holes (Astronomy), Field Theory (Physics), Gravitation Theory, Perturbation Theory, Quantum Mechanics, Relativity, Schwarzschild Metric, Wave Generation

Scientific paper

Electromagnetic and gravitational radiation due to odd-parity sources in a collapsing Oppenheimer-Snyder (1939) background is analyzed. The sources and the fields they produce are treated as linearized perturbations, using gauge-invariant quantities. The perturbations are found to obey simple hyperbolic differential equations; numerical solutions to these wave equations are presented for the waveforms, energies, and spectra of the emitted radiation. The results show that: (1) the radiation peculiar to the late stages of collapse is rather independent of the internal dynamics of the collapsing star; (2) the nature of this radiation is governed by the background Schwarzschild spacetime surrounding the collapsing star; (3) the behavior of the perturbations at very late times conforms to theoretical predictions concerning 'power-law tails'; and (4) quasi-normal ringing dominates the emitted radiation. The excitation mechanism for the quasi-normal modes is considered.

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