2021
DOI: 10.1140/epjc/s10052-021-09551-5
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Kerr–Schild metrics in teleparallel gravity

Abstract: We show that the Kerr–Schild ansatz can be extended from the metric to the tetrad, and then to teleparallel gravity where curvature vanishes but torsion does not. We derive the equations of motion for the Kerr–Schild null vector, and describe the solution for a rotating black hole in this framework. It is shown that the solution depends on the chosen tetrad in a non-trivial way if the spin connection is fixed to be the one of the flat background spacetime. We show furthermore that any Kerr–Schild solution with… Show more

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“…Tetrad fields of this type were recently considered in Ref. [15], in the context of the teleparallel gravity. The flat space-time tetrad fields are required to satisfy…”
Section: Kerr-schild Tetradsmentioning
confidence: 99%
“…Tetrad fields of this type were recently considered in Ref. [15], in the context of the teleparallel gravity. The flat space-time tetrad fields are required to satisfy…”
Section: Kerr-schild Tetradsmentioning
confidence: 99%
“…Tetrad fields of this type were recently considered in Ref. [10], in the context of teleparallel gravity. The flat space-time tetrad fields are required to satisfy…”
Section: Kerr-schild Tetradsmentioning
confidence: 99%