Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-14
Physics
High Energy Physics
High Energy Physics - Theory
20+1 pages, 3 figures, changed title, expanded discussion, matches version published in CQG
Scientific paper
We analyze the $\delta=2$ Tomimatsu-Sato spacetime in the context of the proposed Kerr/CFT correspondence. This 4-dimensional vacuum spacetime is asymptotically flat and has a well-defined ADM mass and angular momentum, but also involves several exotic features including a naked ring singularity, and two disjoint Killing horizons separated by a region with closed timelike curves and a rod-like conical singularity. We demonstrate that the near horizon geometry belongs to a general class of Ricci-flat metrics with $SL(2,\mathbb{R})\times U(1)$ symmetry that includes both the extremal Kerr and extremal Kerr-bolt geometries. We calculate the central charge and temperature for the CFT dual to this spacetime and confirm the Cardy formula reproduces the Bekenstein-Hawking entropy. We find that all of the basic parameters of the dual CFT are most naturally expressed in terms of charges defined intrinsically on the horizon, which are distinct from the ADM charges in this geometry.
Gegenberg Jack
Liu Haitao
Seahra Sanjeev S.
Tippett Benjamin K.
No associations
LandOfFree
Tomimatsu-Sato geometries, holography and quantum gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Tomimatsu-Sato geometries, holography and quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tomimatsu-Sato geometries, holography and quantum gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-284628