BTZ Black Hole Background Research Articles

Higher spin quasinormal modes and one-loop determinants in the BTZ black hole

We solve the wave equations of arbitrary integer spin fields in the BTZ black hole background and obtain exact expressions for their quasinormal modes. We show that these quasinormal modes precisely agree with the location of the poles of the corresponding two point function in the dual conformal field theory as predicted by the AdS/CFT correspondence. We then use these quasinormal modes to construct the one-loop determinant of the higher spin field in the thermal BTZ background. This is shown to agree with that obtained from the corresponding heat kernel constructed recently by group theoretic methods.

Classical stability of BTZ black holes in new massive gravity

We study the stability of the BTZ black hole in the new massive gravity. This is a nontrivial task because the linearized equation around the BTZ black hole background is a fourth-order differential equation. Away from the critical point of ${m}^{2}{\ensuremath{\ell}}^{2}=1/2$, this fourth-order equation is split into two second-order equations: one describes a massless graviton, and the other is designed for a massive graviton, which could be obtained from the Fierz-Pauli action. In this case, calculating quasinormal modes leads to confirming the stability of the BTZ black hole. At the critical point, we derive two left- and right-logarithmic quasinormal modes from the logarithmic conformal field theory. Finally, we identify two $s$ massive modes propagating on the black hole background through the conventional black hole stability analysis.

Cosmic string in the BTZ black hole background with time-dependent tension

In this Letter, we study the equation of circular loops with time-dependent tension in the BTZ black hole background. We obtain various cases where cosmic string loops finally collapse to form black holes. Also, we study effect of the BTZ black hole mass and angular momentum on the evolution of cosmic string loops. We find the critical values of initial radii as a limit for the cosmic string loops collapsing to form black holes.

Holographic superconductor developed in BTZ black hole background with backreactions

We develop a holographic superconductor in BTZ black hole background with backreactions. We investigate the influence of the backreaction on the condensation of the scalar hair and the dynamics of perturbation in the background spacetime. When the Breitenlohner–Freedman bound is approached, we argue that only one of two possible operators can reflect the real property of the condensation in the holographic superconductor. This argument is supported by the investigation in dynamics.

Quantum properties of the Dirac field on BTZ black hole backgrounds

We consider a Dirac field on a (1 + 2)-dimensional uncharged BTZ black hole background. We first find out the Dirac Hamiltonian, and study its self-adjointness properties. We find that, in analogy to the Kerr–Newman–AdS Dirac Hamiltonian in (1 + 3) dimensions, essential self-adjointness on C∞0(r+, ∞)2 of the reduced (radial) Hamiltonian is implemented only if a suitable relation between the mass μ of the Dirac field and the cosmological radius l holds true. The very presence of a boundary-like behaviour of r = ∞ is at the root of this problem. Also, we determine in a complete way the qualitative spectral properties for the non-extremal case, for which we can infer the absence of quantum bound states for the Dirac field. Next, we investigate the possibility of a quantum loss of angular momentum for the (1 + 2)-dimensional uncharged BTZ black hole. Unlike the corresponding stationary four-dimensional solutions, the formal treatment of the level crossing mechanism is much simpler. We find that, even in the extremal case, no level crossing takes place. Therefore, no quantum loss of angular momentum via particle pair production is allowed.

Hawking radiation from AdS black holes

We study Hartle–Hawking-like states of quantum field theories on asymptotically AdS black hole backgrounds, with particular regard to the phase structure of interacting theories. By a suitable analytic continuation we show that the equilibrium dynamics of field theories on large asymptotically AdS black holes can be related to the low-temperature states of the same field theory on the AdS soliton (or pure AdS) background. This allows us to gain insight into Hartle–Hawking-like states on large-radius Schwarzschild- or rotating-AdS black holes. Furthermore, we exploit the AdS/CFT correspondence to explore the physics of strongly coupled large N theories on asymptotically AdS black holes. In particular, we exhibit a plausibly complete set of phases for the M2-brane world-volume superconformal field theory on a BTZ black hole background. Our analysis partially resolves puzzles previously raised in connection with Hawking radiation on large AdS black holes.

HAGEDORN BEHAVIOR OF STRINGS IN AdS3/BTZ

We study a finite temperature string in curved space, especially in AdS3 and BTZ black hole background. We extract Hagedorn behavior of strings and argue thermodynamic properties in thermal AdS3 as well as in BTZ black hole background. In particular, we find the Hagedorn temperature of string on AdS3, which depends on the AdS3 curvature scale. We also find a tachyonic divergence for a BTZ black hole of string scale.

Quasinormal modes and phase transition of black holes

We have studied the scalar field as well as the fermionic field perturbations in the background of the massless BTZ black holes. Comparing with the perturbation results in the generic non-rotating BTZ black hole background, we found that the massless BTZ hole contains only normal modes in the perturbations. We argued that this special property reflects that the massless BTZ black hole is a different phase from that of the generic non-rotating BTZ hole.

Entropy of three-dimensional BTZ black holes

The entropies of scalar field and neutrino field are calculated in the background of three-dimensional BTZ black hole. Considering statistical physics, we propose not to consider the superraradiant modes for bosons (Fermion fields do not display supperradiance). In fact, the nonsuperradiant modes do contribute exactly the area entropy for both bosons and fermions. The result shows that the neutrino field entropy is 3/2 times the scalar one.

Three dimensional gravity fromISO(2,1)coset models

Starting from a WZWN action in the ISO(2,1) Poincare' group which describes a bosonized spinning string in 2+1 Minkowski space-time, we show that a sequence of non-trivial compactifications leads to the description of a spinless string which moves in a (linear dilaton) vacuum, AdS_3 or BTZ black hole background. Other solutions are also obtained and their T-duals analyzed.