The (single) black hole solutions of Bañados, Teitelboim and Zanelli (BTZ) in 2+1 dimensional anti-de Sitter space are generalized to an arbitrary number n of such black holes. The resulting multi-black-hole (MBH) spacetime is locally isometric to anti-de Sitter space, and globally it is obtained from the latter as a quotient space by means of suitable identifications. The MBH spacetime has n a...

We show that depending on the direction of deformation of κ-Poincaré algebra (time-like, space-like, or light-like) the associated phase spaces of single particle in Doubly Special Relativity theories have the energy-momentum spaces of the form of de Sitter, anti-de Sitter, and flat space, respectively.

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de Sitter geometry in the presence of several real scalar fields. We illustrate the results with some examples, and we take advantage of our findings to investig...

The Einstein’s equations with a negative cosmological constant admit solutions which are asymtotically anti-de Sitter space. Matter fields in anti-de Sitter can be in stable equilibrium even if the potential energy is unbounded from below, violating the weak energy condition. Hence there is no fundamental reason that black hole’s horizons should have spherical topology. Here it is shown that in...

The coherent states associated to the discrete series representations D(Eo, s) of SO(3, 2) are constructed in terms of (spin-)tensor fields on D = 4 anti-de Sitter space. For Eo > s + 5 the linear space HEo,s spanned by these states is proved to carry the unitary irreducible representation D(Eo, s). The SO(3, 2)-covariant generalized Fourier transform in this space is exhibited. The quasiclassi...

It is shown how the results of Deser and Levin on the response of accelerated detectors in anti-de Sitter space can be understood from the same general perspective as other thermality results in spacetimes with bifurcate Killing horizons. A detector with linear acceleration a in the Minkowski vacuum sees a thermal bath at the temperature T U = a/2π [1], while an inertial detector in de Sitter (...

The coherent states associated to the discrete series representations D(E o , s) of SO(3, 2) are constructed in terms of (spin-)tensor fields on D = 4 anti-de Sitter space. For E o > s + 5 the linear space H Eo,s spanned by these states is proved to carry the unitary irreducible representation D(E o , s). The SO(3, 2)-covariant generalized Fourier transform in this space is exhibited. The quasi...