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The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation set A4

A de Vries 2000 Class. Quantum Grav. 17 123-144   doi: 10.1088/0264-9381/17/1/309  Help

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A de Vries
Institut für Mathematik der Ruhr-Universität, D-44780 Bochum, Germany

Abstract. The apparent shapes of various Kerr-Newman spacetimes are plotted. For this purpose the geometry of closed photon orbits is studied, forming a subset of the bifurcation set A 4 , well known in elementary catastrophe theory. One additional result is that the cosmic censorship hypothesis guarantees that the spacetime casts a shadow, whereas naked ring singularities enable the visibility of the `anti-world' of negative radii r through its interior. Moreover, the optical restrictions to the observability of the shadow of an astronomical black hole are inferred.

PACS numbers: 0470, 9760L, 0420, 1180F

Print publication: Issue 1 (7 January 2000)
Received 12 April 1999

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