https://doi.org/10.1140/epjc/s10052-024-13300-9
Regular Article - Theoretical Physics
Some consequences of the Kerr–Schild gauge
Departamento de Física Teórica and Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
Received:
26
July
2024
Accepted:
24
August
2024
Published online:
17
September
2024
Generalized Kerr–Schild nilpotent deformations of an arbitrary background spacetime are considered. Those are of the form with . The relationship between the Ricci tensor of the background metric and the Ricci tensor of the deformed metric is found exactly. It consists of two terms, one is essentially the Fierz–Pauli operator, and the other is new. When the background is flat, the Kerr–Schild family is recovered. Novel examples for more general backgrounds (even including some simple sources) are discussed.
© The Author(s) 2024
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