Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit
arXiv:1409.5358 · doi:10.1103/PhysRevD.90.081701
Abstract
We find the excitations and construct the conserved charges ( mass and angular momentum) of the recently found Minimal Massive Gravity (MMG) in 2+1 dimensions in asymptotically Anti-de Sitter (AdS) spacetimes. The field equation of the theory does not come from an action and hence lacks the required Bianchi Identity needed to define conserved charges. But the theory, which also provides a healthy extension of the Topologically Massive Gravity in the bulk and boundary of spacetime, does admit conserved charges for metric that are solutions. Our construction is based on background Killing vectors and imperative to provide physical meaning to the integration constants in the black hole type metrics. We also study the chiral gravity limit of MMG.
arXiv comment9 pages, reference added, typos corrected
References in corpus (29)
- The Black Hole in Three Dimensional Space Time
- The Dynamics of General Relativity
- Geometry of the 2+1 Black Hole
- Massive Gravity in Three Dimensions
- Energy in Generic Higher Curvature Gravity Theories
- Chiral Gravity in Three Dimensions
- More on Massive 3D Gravity
- Gravitational Energy in Quadratic Curvature Gravities
- Instability in cosmological topologically massive gravity at the chiral point
- Chiral Gravity, Log Gravity and Extremal CFT
- The black holes of topologically massive gravity
- Cosmological Topologically Massive Gravitons and Photons
- On the new massive gravity and AdS/CFT
- Critical Points of D-Dimensional Extended Gravities
- Born-Infeld extension of new massive gravity
- Minimal Massive 3D Gravity
- Note on New Massive Gravity in
- Energy in Topologically Massive Gravity
- New massive gravity, extended
- Mass and angular momentum of asymptotically AdS or flat solutions in the topologically massive gravity
- Topologically Massive Gravity at the Chiral Point is Not Unitary
- Conserved Charges of Higher D Kerr-AdS Spacetimes
- c-functions in the Born-Infeld extended New Massive Gravity
- Matter coupling in 3D "Minimal Massive Gravity"
- Canonical Structure of Higher Derivative Gravity in 3D
- Energy and Angular Momentum in Generic F(Riemann) Theories
- Some exact solutions of all f(Ricci) theories in three dimensions
- Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
- A Wald-like Formula for Energy
Cited by in corpus (28)
- On the Generalized Minimal Massive Gravity
- On Complexity Growth in Minimal Massive 3D Gravity
- Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
- Black hole conserved charges in Generalized Minimal Massive Gravity
- Minimal Massive 3D Gravity Unitarity Redux
- Minimal Log Gravity
- The entropy formula of black holes in Minimal Massive Gravity and its application for BTZ black holes
- On Solutions of Minimal Massive 3D Gravity
- On the Butterfly Effect in 3D Gravity
- On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
- Bulk and Boundary Unitary Gravity in 3D: MMG
- Gravity Waves in Three Dimensions
- Bachian Gravity in Three Dimensions
- Unitarity Problems in 3 Gravity Theories
- Kundt solutions of Minimal Massive 3D Gravity
- Linearization Instability for Generic Gravity in AdS
- Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
- New Improved Massive Gravity and Three Dimensional Spacetimes of Constant Curvature and Constant Torsion
- Homogeneous Solutions of Minimal Massive 3D Gravity
- Hamiltonian formalism of Minimal Massive Gravity
- Holographically Viable Extensions of Topologically Massive and Minimal Massive Gravity?
- Holographic Renormalization of 3D Minimal Massive Gravity
- Linearization Instability in Gravity Theories
- Circularly symmetric solutions of Minimal Massive Gravity at its merger point
- Evanescent gravitons in Warped Anti-de Sitter space
- Mass and angular momentum of black holes in 3D gravity theories with first order formalism
- Non-linear regime of the Generalized Minimal Massive Gravity in critical points
- Entropy product of rotating black holes in three-dimensions