Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.
Quasi-local Energy in 3D Gravity with Torsion
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We show that for generic stationary spacetime and specific Killing fields, Wald's approach for quasi-local energy could be generalized to the first order formalism straightforwardly without introducing the Lorentz-Lie derivative. Via this approach, we derive the general formula for the black hole entropy in three dimensional torsional Mielke-Baekler gravity, reproducing precisely the total energy, the angular momentum as well as the black hole entropy for the BTZ-like solutions.
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Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity
Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.