CFTs in rotating black hole backgrounds
arXiv:1304.1162 · doi:10.1088/0264-9381/30/12/125015
Abstract
We use AdS/CFT to construct the gravitational dual of a 5D CFT in the background of a non-extremal rotating black hole. Our boundary conditions are such that the vacuum state of the dual CFT corresponds to the Unruh state. We extract the expectation value of the stress tensor of the dual CFT using holographic renormalisation and show that it is stationary and regular on both the future and the past event horizons. The energy density of the CFT is found to be negative everywhere in our domain and we argue that this can be understood as a vacuum polarisation effect. We construct the solutions by numerically solving the elliptic Einstein--DeTurck equation for stationary Lorentzian spacetimes with Killing horizons.
20 + 13 pages, 3 appendices. (Updated to match the content of published version. One extra appendix added.)
References in corpus (5)
Cited by in corpus (17)
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- Classification of near-horizon geometries of extremal black holes
- Numerical Methods for Finding Stationary Gravitational Solutions
- Hints of 5d Fixed Point Theories from Non-Abelian T-duality
- Holographic thermal field theory on curved spacetimes
- Holographic duals of evaporating black holes
- Black Droplets
- On the Relevance of the Thermal Scalar
- Rotating Black Droplet
- Phases of Holographic Hawking Radiation on spatially compact spacetimes
- Entanglement Entropy in Jammed CFTs
- Dissonant Black Droplets and Black Funnels
- The averaged null energy condition on holographic evaporating black holes
- Perturbative Construction of Stationary Randall-Sundrum II Black Holes on a 5-Brane
- A holographic stress-energy tensor near the Cauchy horizon inside a rotating black hole
- Null infinity and extremal horizons in AdS-CFT
- The first law of entanglement entropy in AdS black hole backgrounds