English

AdS-Wave Solutions of f(Riemann) Theories

High Energy Physics - Theory 2013-09-11 v2 General Relativity and Quantum Cosmology

Abstract

We show that the recently found AdS-plane and AdS-spherical wave solutions of quadratic curvature gravity also solve the most general higher derivative theory in D-dimensions. More generally, we show that the field equations of such theories reduce to an equation linear in the Ricci tensor for Kerr-Schild spacetimes having type-N Weyl and traceless Ricci tensors.

Keywords

Cite

@article{arxiv.1305.1565,
  title  = {AdS-Wave Solutions of f(Riemann) Theories},
  author = {Metin Gurses and Sigbjørn Hervik and Tahsin Cagri Sisman and Bayram Tekin},
  journal= {arXiv preprint arXiv:1305.1565},
  year   = {2013}
}

Comments

4 pages, solutions are extended for generic f(Riemann) theories that include arbitrary powers of the curvature