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Title: pp waves of conformal gravity with self-interacting source

Abstract

Recently, Deser, Jackiw and Pi have shown that three-dimensional conformal gravity with a source given by a conformally coupled scalar field admits pp wave solutions. In this paper, we consider this model with a self-interacting potential preserving the conformal structure. A pp wave geometry is also supported by this system and, we show that this model is equivalent to topologically massive gravity with a cosmological constant whose value is given in terms of the potential strength.

Authors:
 [1];  [2]
  1. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile) and Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000 Mexico DF (Mexico)
  2. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
Publication Date:
OSTI Identifier:
20690154
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 317; Journal Issue: 1; Other Information: DOI: 10.1016/j.aop.2004.11.006; PII: S0003-4916(04)00214-3; Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; COSMOLOGICAL CONSTANT; GEOMETRY; GRAVITATION; POTENTIALS; SCALAR FIELDS; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGY; WAVE FUNCTIONS

Citation Formats

Ayon-Beato, Eloy, and Hassaine, Mokhtar. pp waves of conformal gravity with self-interacting source. United States: N. p., 2005. Web. doi:10.1016/j.aop.2004.11.006.
Ayon-Beato, Eloy, & Hassaine, Mokhtar. pp waves of conformal gravity with self-interacting source. United States. https://doi.org/10.1016/j.aop.2004.11.006
Ayon-Beato, Eloy, and Hassaine, Mokhtar. 2005. "pp waves of conformal gravity with self-interacting source". United States. https://doi.org/10.1016/j.aop.2004.11.006.
@article{osti_20690154,
title = {pp waves of conformal gravity with self-interacting source},
author = {Ayon-Beato, Eloy and Hassaine, Mokhtar},
abstractNote = {Recently, Deser, Jackiw and Pi have shown that three-dimensional conformal gravity with a source given by a conformally coupled scalar field admits pp wave solutions. In this paper, we consider this model with a self-interacting potential preserving the conformal structure. A pp wave geometry is also supported by this system and, we show that this model is equivalent to topologically massive gravity with a cosmological constant whose value is given in terms of the potential strength.},
doi = {10.1016/j.aop.2004.11.006},
url = {https://www.osti.gov/biblio/20690154}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 1,
volume = 317,
place = {United States},
year = {Sun May 01 00:00:00 EDT 2005},
month = {Sun May 01 00:00:00 EDT 2005}
}