21 research outputs found
Canonical structure of BHT massive gravity in warped AdS3 sector
We investigate the asymptotic structure of the three dimensional warped anti
de sitter black holes in the Bergshoeff, Hohm and Townsend massive gravity
using the canonical Hamiltonian formalism. We define the canonical asymptotic
guage generators, which produce the conserved charges and the asymptotic
symmetry group for the warped anti de sitter black holes. The attained symmetry
group is described by a semi direct sum of a Virasoro and a KacMoody algebra.
Using the Sugawara construction, we obtain a direct sum of two Virasoro
algebras. We show that not only the asymptotic conserved charges satisfy the
first law of black hole thermodynamics, but also they lead to the expected
Smarr formula for the warped anti de sitter black holes. We also show that the
black hole entropy obeys the Cardy formula of the dual conformal field theory .Comment: 13 page
Black Holes in Born-Infeld Extended New Massive Gravity
In this paper we find different types of black holes for the Born-Infeld
extended new massive gravity. Our solutions include (un)charged warped (A)dS
black holes for four and six derivative expanded action. We also look at the
black holes in unexpanded BI action. In each case we calculate the entropy,
angular momentum and mass of the black holes. We also find the central charges
for the CFT duals.Comment: 23 pages, 5 figure
Central charges from Thermodynamics method in 3D gravity
In the context of guage/gravity duality, we investigate the central charges
of a number of 2-dimensional conformal field theories (CFTs) that might live on
the boundary of some 3-dimensional (3D) toy models of gravity, from the
thermodynamics aspect of the black holes. For many black hole solutions, the
entropy product of the inner Cauchy and outer event horizons is universal (mass
independent). It is proposed that for these solutions, the central charges of
the left- and right-moving sectors of the dual CFTs should be the same and one
may read the central charges from the universal entropy product. This provides
strong motivations for investigating this prescription for BTZ and Warped
AdS black holes in a number of 3D gravity theories and we will show that
the proposal works truly. One striking result of our analysis is that if the
entropy product is not universal in any theory of 3D gravity, then the left and
right central charges are not equal.Comment: 19 pages, Accepted version. arXiv admin note: text overlap with
arXiv:1906.00993 by other author