Distorted Killing Horizons and Algebraic Classification of Curvature Tensors

Details Distorted Killing Horizons and Algebraic Classification of Curvature Tensors Distorted Killing Horizons and Algebraic Classification of Curvature Tensors

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2231p&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Scientific paper

We consider generic static spacetimes with Killing horizons and study properties of curvature tensors in the horizon limit. It is determined that the Weyl, Ricci, Riemann and Einstein tensors are algebraically special and mutually aligned on the horizon. It is also pointed out that results obtained in the tetrad adjusted to a static observer in general differ from those obtained in a free-falling frame. This is connected to the fact that a static observer becomes null on the horizon. It is also shown that finiteness of the Kretschmann scalar on the horizon is compatible with divergence of some Weyl components in the freely falling frame. We call such new objects truly naked black holes.

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