Cauchy-compact flat spacetimes with extreme BTZ are Lorentzian analogue of complete hyperbolic surfaces finite volume. Indeed, the latter 2-manifolds locally modeled on plane, group isometries $\mathrm{PSL}_2(\R)$, admitting finitely many cuspidal ends while regular part former 3-manifolds models 3 dimensionnal Minkowski space, $\mathrm{PSL}_2(\R)\ltimes \RR^3$, whose neighborhoods foliated by ...

We present an analog model for the Ba\~nados, Teitelboim, Zanelli (BTZ) black hole based on a hydrodynamical flow. numerically solve fully nonlinear hydrodynamic equations of motion and observe excitation decay BTZ quasinormal modes in process. consider both small perturbation steady state configuration fluid large perturbation; latter could be regarded as example formation (acoustic) hole.

We investigate thermodynamic geometries of two families of asymptotically Anti-de Sitter black holes, i.e. the Reissner-Nordström Anti-de Sitter in four dimensions and the BTZ black hole. It is found that the Anti-de Sitter space renders the geometry nontrivial (cf. the ReissnerNordström black hole in asymptotically flat background). The BTZ black hole’s thermodynamic geometry is trivial despit...

We describe three-dimensional Kerr-de Sitter space using similar methods as recently applied to the BTZ black hole. A rigorous form of the classical connection between gravity in three dimensions and two-dimensional conformal field theory is employed, where the fundamental degrees of freedom are described in terms of two dependent SL(2,C) currents. In contrast to the BTZ case, however, quantiza...

The BTZ stationary black hole solution is considered and its mass and angular momentum are calculated by means of Nöther theorem. In particular, relative conserved quantities with respect to a suitably fixed background are discussed. Entropy is then computed in a geometric and macroscopic framework, so that it satisfies the first principle of thermodynamics. In order to compare this more genera...

The entropy of a BTZ black hole in the presence of gravitational Chern-Simons terms has previously been analyzed using Euclidean action formalism. In this paper we treat the BTZ solution as a two dimensional black hole by regarding the angular coordinate as a compact direction, and use Wald’s Noether charge method to calculate the entropy of this black hole in the presence of higher derivative ...

OBJECTIVES New data suggest that glioma stem-like cells (GSCs) and neural stem/progenitor cells (NSCs) may share common origins. GSCs drive tumor proliferation and appear to be resistant to classic chemotherapy, while the effects of chemotherapy on NSCs are not well studied. As the role of NSCs in learning and memory is increasingly recognized, we need to identify drugs that reduce neurotoxicit...

A bstract We go “back to basics”, studying accelerating systems in 2 + 1 AdS gravity ab initio . find three classes of geometry, which we interpret by holographically their physical parameters. From these, construct stationary, point particles; one-parameter extensions the BTZ family resembling an black hole; and new solutions including a novel “BTZ geometry” not continuously connected hole as ...