Higher-dimensional AdS waves and pp-waves with conformally related sources

Abstract

AdS waves and pp-waves can only be supported by pure radiation fields, for which the only nonvanishing component of the energy-momentum tensor is the energy density along the retarded time. We show that the nonminimal coupling of self-gravitating scalar fields to the higher-dimensional versions of these exact gravitational waves can be done consistently. In both cases, the resulting pure radiation constraints completely fix the scalar field dependence and the form of the allowed self-interactions. More significantly, we establish that the two sets of pure radiation constraints are conformally related for any nonminimal coupling, in spite of the fact that the involved gravitational fields are not necessarily related. In this correspondence, the potential supporting the AdS waves emerges from the self-interaction associated to the pp-waves and a self-dual condition naturally satisfied by the pp-wave scalar fields.

13 pages

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Cited by in corpus (9)

• The geometry of Schrödinger symmetry in non-relativistic CFT
• AdS-plane wave and pp-wave solutions of generic gravity theories
• AdS black holes with arbitrary scalar coupling
• Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
• (Super-)renormalizably dressed black holes
• Black hole thermodynamics, conformal couplings, and R^2 terms
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Exact ghost-free bigravitational waves
• Kundt Gravitational Waves Coupled with a Non-Noetherian Conformal Scalar Field