1. When does General Relativity become linear?
- Author
-
Álvarez, Enrique and Anero, Jesús
- Subjects
General Relativity and Quantum Cosmology ,High Energy Physics - Theory - Abstract
Nilpotent deformations of an arbitrary background spacetime are considered . Those are of the form $\bg_{\m\n}+ l_\m l_\n$ with $l^2=0$. 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 (even including some simple sources) for more general backgrounds are discussed., Comment: Latex 13 pages,comments added, title changed
- Published
- 2024