Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...214..566s&link_type=abstract
Astrophysical Journal, Part 1, vol. 214, June 1, 1977, p. 566-575.
Astronomy and Astrophysics
Astrophysics
26
Gravitational Collapse, Gravitational Waves, Stellar Evolution, Wave Generation, Energy Dissipation, Equations Of Motion, Internal Pressure, Neutron Stars, Polytropic Processes, Rotating Spheres
Scientific paper
The burst of gravitational radiation emitted during the initial collapse and rebound of a homogeneous uniformly rotating spheroid with internal pressure is analyzed numerically. The surface of the collapsing spheroid is assumed to start at rest from infinity with negligible eccentricity ('zero-energy collapse'). The adopted internal pressure function is constant on self-similar spheroidal surfaces, and its central value is described by a polytropic law with index not exceeding 3. The Newtonian equations of motion are integrated numerically to follow the initial collapse and rebound of the configuration for the special case in which the collapse is time-reversal invariant about the moment of maximum compression, and the total energy and frequency spectra of the emitted quadrupole radiation are computed. The results are employed to estimate the (approximately minimum) total energy and frequency distribution of the initial burst of gravitational radiation emitted during the formation of low-mass (not larger than the sun) neutron stars and during the collapse of supermassive gas clouds (about 1 million solar masses).
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