English

Exotic Massive Gravity: Causality and a Birkhoff-like Theorem

High Energy Physics - Theory 2019-08-21 v2 General Relativity and Quantum Cosmology

Abstract

We study the local causality issue via the Shapiro time-delay computations in the on-shell consistent exotic massive gravity in three dimensions. The theory shows time-delay as opposed to time-advance despite having a ghost at the linearized level both for asymptotically flat and anti-de Sitter spacetimes. We also prove a Birkhoff-like theorem: any solution with a hypersurface orthogonal non-null Killing vector field is conformally flat; and find some exact solutions.

Keywords

Cite

@article{arxiv.1906.09429,
  title  = {Exotic Massive Gravity: Causality and a Birkhoff-like Theorem},
  author = {Ercan Kilicarslan and Bayram Tekin},
  journal= {arXiv preprint arXiv:1906.09429},
  year   = {2019}
}

Comments

14 pages, 1 figure, typos corrected, matches the published version

R2 v1 2026-06-23T10:00:37.106Z