Causality in 3D massive gravity theories

Edelstein, Jose D.
Giribet, Gaston
Gomez, Carolina
Kilicarslan, Ercan
Leoni, Matias
Tekin, Bayram
We study the constraints coming from the local causality requirement in various 2 + 1 dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity noninvariant massive degree of freedom, and in new massive gravity, with two massive spin-2 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.

Citation Formats
J. D. Edelstein, G. Giribet, C. Gomez, E. Kilicarslan, M. Leoni, and B. Tekin, “Causality in 3D massive gravity theories,” PHYSICAL REVIEW D, vol. 95, no. 10, pp. 0–0, 2017, Accessed: 00, 2020. [Online]. Available: