More on the entropy product and dual CFTs

Abstract

In this paper, we check the universality of the entropy product for some black hole and black ring solutions. Applying the asymptotic symmetry group (ASG) analysis, we also find the central charges of the dual CFTs for these solutions. It has been observed [16] that if the entropy product for a solution is universal, it is possible to read the central charges of the dual CFTs from the entropy product as cwhere N i is a conserved charge of the solution like angular momentum or electric charge. In this work we consider some other families of solutions and we check that the same behavior is valid for them. Moreover, in the case of solutions containing the conical singularity, we find the central charges using the ASG analysis. We show that the central charges receive a contribution from the conical characteristic κ of the solution, however it is still possible to read the central charges from the entropy product.

Central charges from thermodynamics method in 3D gravity

“…This issue deserves further research along the lines that have already been proposed in [47]. This investigation has been done in the case of some higher dimensional charged rotating black holes in [47,51], and for 3D WAdS 3 black holes of TMG and NMG in [52,53]. In particular, we investigate the entropy product and find the central charges of the dual CFT for these black holes in the case of NMG theory and two different extensions of it, that is, Maxwell-Born-Infeld (MBI) [14] and generalized minimal massive gravity (GMMG) [54] theories.…”

Overseas legislative trends of mandatory human rights due diligence and its implications in the Republic of Korea

“…Consequently, black hole thermodynamics has been investigated across numerous gravity models over the past decades. In particular, recent studies have explored the thermodynamics of accelerating black holes [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], which are described by the C-metric as an exact solution to the Einstein field equations [24][25][26][27][28]. A notable feature of these black holes is the presence of at least one irremovable conical deficit angle along the azimuthal axis.…”