Note on the optical appearance of a star collapsing through its gravitational radius

Physics – Optics

Scientific paper

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Black Holes (Astronomy), Optical Properties, Relativity, Astrophysics, Geometrical Optics, Gravitational Collapse, Optical Thickness, Red Shift, Schwarzschild Metric, Stellar Magnitude

Scientific paper

The detailed optical properties of an optically thick nonrotating, spherically symmetric star, including 'backward-emitted light', are examined within the framework of geometrical optics. It is shown that for geodesic collapse the redshift across the apparent disk of the collapsing star is minimal, and a constant (in time) at the apparent limb. Moreover, the observed intensity is peaked near the apparent limb and can be dominated by 'backward-emitted light'. The known results of most astrophysical significance, that the order of magnitude of the e-folding time for the decay of the observed flux is given by the reciprocal of the surface gravity of the resultant black hole, remains unaltered by the inclusion of 'backward-emitted light'.

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