AdS-plane wave and pp-wave solutions of generic gravity theories

Sisman, Tahsin Cagri
Tekin, Bayram
We construct the anti-de Sitter-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we show that the most general two-tensor built from the Riemann tensor and its derivatives can be written in terms of the traceless Ricci tensor. Quadratic gravity theory plays a major role; therefore, we revisit the wave solutions in this theory. As examples of our general formalism, we work out the six-dimensional conformal gravity and its nonconformal deformation as well as the tricritical gravity, the Lanczos-Lovelock theory, and string-generated cubic curvature theory.


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The existence and -if exists- the nature of the solutions of the scalar wave equation in spacetimes with closed timelike curves are investigated. The general properties of the solutions on some class of spacetimes are obtained. Global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensions 2+1 and 3+1. The solutions are in the form of infinite series involving cylindirical and spherical wave functions and they are elucidated by the multiple scattering method. Explici...
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Gurel, E. (Elsevier BV, 2009-10-01)
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AYDOĞDU, OKTAY; Sever, Ramazan (2010-01-01)
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Citation Formats
M. GÜRSES, T. C. Sisman, and B. Tekin, “AdS-plane wave and pp-wave solutions of generic gravity theories,” PHYSICAL REVIEW D, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: