English

Lower-dimensional Regge-Teitelboim gravity

General Relativity and Quantum Cosmology 2023-04-12 v1

Abstract

We study modified gravity theory known as Regge-Teitelboim approach, in which the gravity is represented by dynamics of a surface isometrically embedded in a flat bulk. We obtain some particular solutions of Regge-Teitelboim equations corresponding to a central symmetric vacuum 2+1-dimensional spacetime. In contrast with GR, this vacuum spacetime is not flat, so it is possible for the gravitational field to exist even without matter or cosmological constant.

Keywords

Cite

@article{arxiv.2211.05055,
  title  = {Lower-dimensional Regge-Teitelboim gravity},
  author = {A. A. Sheykin and A. A. Grechko},
  journal= {arXiv preprint arXiv:2211.05055},
  year   = {2023}
}

Comments

5 pages. Accepted for publication in Gravitation & Cosmology

R2 v1 2026-06-28T05:32:04.981Z