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    Optical reference geometry of Kerr-Newman spacetimes

    Zdeněk Stuchlík · 01 července, 2000 · Fyzika · 0 comments
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    Publication date: Jul 2000

    Abstract:
    Properties of the optical reference geometry related to Kerr-Newman
    black-hole and naked-singularity spacetimes are illustrated using
    embedding diagrams of their equatorial plane. It is shown that among all
    inertial forces defined within the framework of the optical geometry,
    just the centrifugal force plays a fundamental role in connection with
    the embedding diagrams because it changes sign at the turning points of
    the diagrams. The embedding diagrams do not cover the stationary part of
    the Kerr-Newman spacetimes completely. Hence, the limits of
    embeddability are given, and it is established which of the photon
    circular orbits hosted by the Kerr-Newman spacetimes appear in the
    embeddable regions. Some typical embedding diagrams are constructed, and
    the Kerr-Newman backgrounds are classified according to the number of
    embeddable regions of the optical geometry as well as the number of
    their turning points. It is shown that embedding diagrams are closely
    related to the notion of the radius of gyration which is useful for
    analysing a fluid rotating in strong gravitational fields.

    Authors:
    Stuchlík, Z.; Hledík, S.; Jurán, J.;

    http://adsabs.harvard.edu/abs/2000CQGra..17.2691S

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