English

Note on Scalar Fields Non-Minimally Coupled to (2+1)-Gravity

General Relativity and Quantum Cosmology 2016-08-16 v1

Abstract

Scalar fields non--minimally coupled to (2+1)-gravity, in the presence of cosmological constant term, are considered. Non-minimal couplings are described by the term ζRΨ2\zeta R \Psi^2 in the Lagrangian. Within a class of static circularly symmetric space-times, it is shown that the only existing physically relevant solutions are the anti-de Sitter space-time for ζ=0\zeta=0, and the Martinez-Zanelli black hole for ζ=1/8\zeta=1/8. We obtain also two new solutions with non-trivial scalar field, for ζ=1/6\zeta=1/6 and ζ=1/8\zeta=1/8 respectively, nevertheless, the corresponding space-times can be reduced, via coordinate transformations, to the standard anti-de Sitter space.

Keywords

Cite

@article{arxiv.gr-qc/0101079,
  title  = {Note on Scalar Fields Non-Minimally Coupled to (2+1)-Gravity},
  author = {Eloy Ayón-Beato and Alberto García and Alfredo Macías and José M. Pérez-Sánchez},
  journal= {arXiv preprint arXiv:gr-qc/0101079},
  year   = {2016}
}

Comments

5 pages, RevTex

R2 v1 2026-07-22T12:33:09.168Z