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Kerr-Schild spacetimes with (A)dS background

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arxiv 1009.1727 v3 pith:HSY5YNBJ submitted 2010-09-09 gr-qc hep-th

Tomáš Málek , Vojtěch Pravda This is my paper · ORCID
classification gr-qchep-th
keywords spacetimeskerr-schildbackgroundtypeweylallowsarbitraryboost
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General properties of Kerr-Schild spacetimes with (A)dS background in arbitrary dimension are studied. It is shown that the geodetic Kerr-Schild vector k is a multiple WAND of the spacetime. Einstein Kerr-Schild spacetimes with non-expanding k are shown to be of Weyl type N, while the expanding spacetimes are of type II or D. It is shown that this class of spacetimes obeys the optical constraint. This allows us to solve Sachs equation, determine r-dependence of boost weight zero components of the Weyl tensor and discuss curvature singularities.

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Cited by 2 Pith papers

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  1. The Role of the Volume in Black Hole Thermodynamics

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Conserved charges built from a Kerr-Schild background show the first law requires the Killing vector and AdS background to be held fixed, explaining why the rotating-frame energy F fails while E works, and why the geo...

  2. Extremal Kerr-Schild Form

    gr-qc 2024-11 conditional novelty 5.0 of 10

    A non-extremal black hole can be written exactly as its extremal limit plus a linear-in-mass term built from a single null vector, for a wide class of known solutions.

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