Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit

Understand

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.