New exact solutions of quadratic curvature gravity

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2012-07-03

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GÜRSES, METİN
Sisman, Tahsin Cagri
Tekin, Bayram

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It is a known fact that the Kerr-Schild type solutions in general relativity satisfy both exact and linearized Einstein field equations. We show that this property remains valid also for a special class of the Kerr-Schild metrics in arbitrary dimensions in generic quadratic curvature theory. In addition to the anti-de Sitter (AdS) wave (or Siklos) metric which represents plane waves in an AdS background, we present here a new exact solution, in this class, to the quadratic gravity in D dimensions which represents a spherical wave in an AdS background. The solution is a special case of the Kundt metrics belonging to spacetimes with constant curvature invariants.

URI

https://hdl.handle.net/11511/41878

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.86.024009

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Department of Physics, Article

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Citation Formats

M. GÜRSES, T. C. Sisman, and B. Tekin, “New exact solutions of quadratic curvature gravity,” PHYSICAL REVIEW D, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41878.