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Mass and angular momentum of black holes in 3D gravity theories with first order formalism
We apply the Wald formalism to obtain masses and angular momenta of black
holes in three dimensional gravity theories using the first order formalism.
Wald formalism suggests that the entropy of a black hole can be defined by an
integration of a conserved charge on the bifurcation horizon, and mass and
angular momentum of a black hole as an integration of some charge variation
form at spatial infinity. The action of three dimensional gravity theories can
be represented by a form including some auxiliary fields. As well-known
examples we have calculated masses and angular momenta of some black holes in
topologically massive gravity and new massive gravity theories using the first
order formalism. We have also calculated mass and angular momentum of BTZ black
hole and new type black hole in minimal massive gravity theory with the action
represented by the first order formalism. We have also calculated the entropy
and central charges of new type black hole. According to
correspondence we suggest that the left and right moving temperatures should be
equal to the Hawking temperature in the case of new type black hole in minimal
massive gravity.Comment: 35 pages, title changed back to original one, some contents are added
and correcte
Mass and Angular momentum of Black Holes in New Massive Gravity
We obtain mass and angular momentum of black holes as conserved charges in
three dimensional new massive gravity, after presenting the explicit expression
for the potential of the conserved charges. This confirms the expression of
those charges obtained in several ways, in particular through AdS/CFT
correspondence, and shows us that the first law of black hole thermodynamics is
valid in these black holes. We also comment about conserved charges in new type
black holes with the emphasis on the AdS/CFT correspondence as guiding
principle.Comment: minor corrections, added conclusion, accepted in PR
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