Physics
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rspsa.364..211c&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 364, no. 1717, Dec. 12, 1978, p. 211-22
Physics
31
Dwarf Stars, Relativistic Effects, Stellar Gravitation, Stellar Radiation, Stellar Rotation, Eigenvalues, Gravitational Collapse, Motion Stability, Scalars, Space-Time Functions, Wave Scattering, Wentzel-Kramer-Brillouin Method
Scientific paper
Rotating ultracompact stars in general relativity can have an ergoregion (ER) in which all trajectories are dragged in the direction of the star's rotation. The existence of the ER leads to a classical instability to emission of scalar, electromagnetic and gravitational radiation from the star. In the present paper eigenfrequencies are calculated for stable and unstable modes of a scalar field on a background metric which has an ER. It is found that the time scales for scalar radiation caused by the ER instability are much longer than the dynamic time scales of the stars, but are extremely sensitive to the size of the ER. It is concluded that neutron stars will not have ERs and that even hyperon stars are unlikely to; even if an ER forms briefly in a star, the instability described here will be far too weak to have any effect. The interest of these calculations, then, lies in the method.
Comins Neil
Schutz Bernard F.
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