English

pp Waves of Conformal Gravity with Self-Interacting Source

High Energy Physics - Theory 2016-08-16 v2 General Relativity and Quantum Cosmology

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 letter, 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.

Keywords

Cite

@article{arxiv.hep-th/0409150,
  title  = {pp Waves of Conformal Gravity with Self-Interacting Source},
  author = {Eloy Ayón-Beato and Mokhtar Hassaïne},
  journal= {arXiv preprint arXiv:hep-th/0409150},
  year   = {2016}
}

Comments

6 pages, minor changes, accepted in Ann. Phys