Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
arXiv:1906.09429 · doi:10.1103/PhysRevD.100.044035
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.
arXiv comment14 pages, 1 figure, typos corrected, matches the published version
References in corpus (23)
- The Black Hole in Three Dimensional Space Time
- Massive Gravity in Three Dimensions
- Causality Constraints on Corrections to the Graviton Three-Point Coupling
- On the new massive gravity and AdS/CFT
- Born-Infeld extension of new massive gravity
- Minimal Massive 3D Gravity
- Classification of solutions in topologically massive gravity
- On the Generalized Minimal Massive Gravity
- Exotic Massive 3D Gravity
- Some exact solutions of all f(Ricci) theories in three dimensions
- The Birkhoff theorem for topologically massive gravity
- Causality in 3D Massive Gravity Theories
- A theorem on topologically massive gravity
- Ultra--Planck Scattering in D=3 Gravity Theories
- On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
- Bulk and Boundary Unitary Gravity in 3D: MMG
- Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations
- Bachian Gravity in Three Dimensions
- Unitarity Problems in 3 Gravity Theories
- Vacua of Exotic Massive 3D Gravity
- Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
- More on vacua of exotic massive 3D gravity
- Holographically Viable Extensions of Topologically Massive and Minimal Massive Gravity?