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Title: 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.

Authors:
 [1];  [2];  [3];  [4]
  1. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
  2. (Mexico)
  3. Instituto de Matematica y Fisica, Universidad de Talca, Casilla 747, Talca (Chile)
  4. (CECS), Casilla 1469, Valdivia (Chile)
Publication Date:
OSTI Identifier:
21020171
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.064025; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; COUPLING; ENERGY DENSITY; ENERGY-MOMENTUM TENSOR; GRAVITATIONAL FIELDS; GRAVITATIONAL WAVES; MANY-DIMENSIONAL CALCULATIONS; P WAVES; POTENTIALS; QUANTUM FIELD THEORY; SCALAR FIELDS

Citation Formats

Ayon-Beato, Eloy, Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F., Hassaiene, Mokhtar, and Centro de Estudios Cientificos. Higher-dimensional AdS waves and pp waves with conformally related sources. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.064025.
Ayon-Beato, Eloy, Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F., Hassaiene, Mokhtar, & Centro de Estudios Cientificos. Higher-dimensional AdS waves and pp waves with conformally related sources. United States. doi:10.1103/PHYSREVD.75.064025.
Ayon-Beato, Eloy, Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F., Hassaiene, Mokhtar, and Centro de Estudios Cientificos. Thu . "Higher-dimensional AdS waves and pp waves with conformally related sources". United States. doi:10.1103/PHYSREVD.75.064025.
@article{osti_21020171,
title = {Higher-dimensional AdS waves and pp waves with conformally related sources},
author = {Ayon-Beato, Eloy and Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F. and Hassaiene, Mokhtar and Centro de Estudios Cientificos},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.064025},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}