Gravitational collapse in free fall of a slowly rotating star

Statistics – Computation

Scientific paper

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Black Holes (Astronomy), Gravitational Collapse, Stellar Evolution, Stellar Rotation, Computational Astrophysics, Cosmic Dust, Ideal Fluids, Stellar Interiors, Stellar Models, Stress Tensors

Scientific paper

The gravitational collapse of a slowly rotating star with small deviations from spherical symmetry is studied. The exterior metric is chosen to be the Kerr metric in synchronous coordinates discarding terms of order (a/r) exp 2. Interior geometry is constructed by adding an off-diagonal term in first order of a to the exact solution of the nonrotating case. This term is determined in part by requiring the validity of the junction conditions at the star's surface and by demanding that the angular momentum of the source is equal to M A, in agreement with the value measured by a distant observer. The resulting stress-energy tensor describes a homogeneous, pressureless, ideal fluid which rotates nonuniformly relative to the synchronous frame which is no longer comoving the stellar matter.

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