$pp$-waves as exact solutions to ghost-free infinite derivative gravity
General Relativity and Quantum Cosmology
2021-08-03 v4 High Energy Physics - Theory
Abstract
We construct exact pp-wave solutions of ghost-free infinite derivative gravity and demonstrate that the sourceless theory does not bring any pp-wave solutions save for that of Einstein's gravity. These waves described in the Kerr-Schild form also solve the linearized field equations of the theory. We also find an exact gravitational shock wave with non-singular curvature invariants and with a finite limit in the ultraviolet regime of non-locality which is in contrast to the divergent limit in Einstein's theory.
Cite
@article{arxiv.1903.04283,
title = {$pp$-waves as exact solutions to ghost-free infinite derivative gravity},
author = {Ercan Kilicarslan},
journal= {arXiv preprint arXiv:1903.04283},
year = {2021}
}
Comments
13 pages, references added, end of the Section IV-A is revised, version published in Phys. Rev. D