On the existence of ergoregions in rotating stars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Neutron Stars, Stellar Models, Stellar Rotation, Astronomical Models, Cosmology, Equations Of State, Stellar Structure

Scientific paper

An ergoregion (ER) is defined as a region around a collapsed rotating star where all particle and photon orbits are forced to corotate with the star. An approximate method for determining the existence and structure of an ER is presented which involves calculation of the structure of a nonrotating star and subsequent integration of the equation for the 'dragging of inertial frames' in the slow-rotation approximation. Numerical results are evaluated for nonrotating stars of uniform density and for the degenerate-neutron equation of state of Harrison et al. (1965). Consideration of rigidly rotating neutron stars indicates that no such star with a realistic equation of state is likely to develop an ER; it is also suggested that differential rotation is unlikely to be much more effective in forming ERs. Results are summarized for a calculation of the growth rate of Friedman's (1975) ER instability for the case of a massless scalar field. It is concluded that ERs could conceivably arise in the presence of ultrastiff and ultradense equations of state.

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