Gravitational Waves in String theory in Anti-de Sitter Background

Abstract

Inspired by the studies of gravitational waves in anti-de Sitter universe, in general relativity, in this paper we investigate the possibility of similar solutions in IIB string theory on $Ad{S}_{3}x{S}^{3}x{R}^4$. We give a general form for such solutions in this background and present several explicit examples, by directly solving the field equations, as well as the ones obtained by taking a scaling limit on D1-D5 brane systems in a pp-wave background. The form of the metric in our solutions corresponds to a gravitational wave in $Ad{S}_3$. We show the supersymmetric nature of these solutions and discuss the possibility of their generalizations to other anti-de Sitter backgrounds, including the ones in four dimensions.

11 pages (latex), a note has been added

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Cited by in corpus (1)

• Gravitational wave solutions in string and M-theory AdS Backgrounds