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arXiv · 1602.03376

Causality in 3D Massive Gravity Theories

Jose D. Edelstein·Gaston Giribet·Carolina Gomez·Ercan Kilicarslan·Matias Leoni·Bayram Tekin
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Abstract

We study the constraints coming from local causality requirement in various $2+1$ 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-$2$ 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.

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Jose D. Edelstein, Gaston Giribet, Carolina Gomez, Ercan Kilicarslan, Matias Leoni, Bayram Tekin. 2016-02-10. Causality in 3D Massive Gravity Theories. https://doi.org/10.1103/physrevd.95.104016

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