English

No Black Hole Theorem in Three-Dimensional Gravity

General Relativity and Quantum Cosmology 2009-10-31 v2

Abstract

A common property of known black hole solutions in (2+1)-dimensional gravity is that they require a negative cosmological constant. In this letter, it is shown that a (2+1)-dimensional gravity theory which satisfies the dominant energy condition forbids the existence of a black hole to explain the above situation.

Keywords

Cite

@article{arxiv.gr-qc/0005129,
  title  = {No Black Hole Theorem in Three-Dimensional Gravity},
  author = {Daisuke Ida},
  journal= {arXiv preprint arXiv:gr-qc/0005129},
  year   = {2009}
}

Comments

3 pages, no figures, to be published in Physical Review Letters

R2 v1 2026-07-22T12:31:49.946Z