English

Magnetic solutions to 2+1 dimensional gravity with dilaton field

High Energy Physics - Theory 2009-10-30 v1

Abstract

We show a general method to solve 2+1 dimensional dilatonic Maxwell-Einstein equation with a positive or negative cosmological constant. All the physical solutions are listed with assumptions that they are static, rotationally symmetric, and has a nonzero magnetic field and a nonzero dilaton field. On the contrary to the magnetic solution without a dilaton field, some of the present solutions with a dilaton field possess a horizon.

Keywords

Cite

@article{arxiv.hep-th/9706170,
  title  = {Magnetic solutions to 2+1 dimensional gravity with dilaton field},
  author = {Takao Koikawa and Takuya Maki and Atsushi Nakamula},
  journal= {arXiv preprint arXiv:hep-th/9706170},
  year   = {2009}
}

Comments

10 pages, Latex format

R2 v1 2026-07-22T16:05:42.854Z