Causality in 3D Massive Gravity Theories
Abstract
We study the constraints coming from local causality requirement in various dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive gravity, with two massive spin- degrees of freedom, causality and unitarity are compatible with each other and both require the Newton's constant to be negative. In their extensions, such as the Born-Infeld gravity and the minimal massive gravity the situation is similar and quite different from their higher dimensional counterparts, such as quadratic (e.g., Einstein-Gauss-Bonnet) or cubic theories, where causality and unitarity are in conflict. We study the problem both in asymptotically flat and asymptotically anti-de Sitter spaces.
Keywords
Cite
@article{arxiv.1602.03376,
title = {Causality in 3D Massive Gravity Theories},
author = {Jose D. Edelstein and Gaston Giribet and Carolina Gomez and Ercan Kilicarslan and Matias Leoni and Bayram Tekin},
journal= {arXiv preprint arXiv:1602.03376},
year = {2017}
}
Comments
This version has significant improvements: causality discussion of all the well-known gravity theories in flat space is extended to the AdS space, references added, 29 pages, latest version matches the published one