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Intrinsic curvature and topology of shadows in Kerr spacetime · Around

2018

Intrinsic curvature and topology of shadows in Kerr spacetime

Wei, Shao-Wen, Liu, Yu-Xiao, Mann, Robert B.

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From the viewpoint of differential geometry and topology, we investigate the characterization of the shadows in a Kerr spacetime.

Two new quantities, the length of the shadow boundary and the local curvature radius are introduced.
Each shadow can be uniquely determined by these two quantities.
For the black hole case, the result shows that we can constrain the black hole spin and the angular coordinate of the observer only by measuring the maximum and minimum of the curvature radius.

Built on

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L. Amarilla and E. F. Eiroa, Shadow of a rotating braneworld black hole
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