2,695 research outputs found
Stellar Equilibrium in 2+1 Dimensions
The hydrostatic equilibrium of a dimensional perfect fluid star in
asymptotically anti-de Sitter space is discussed. The interior geometry matches
the exterior black-hole solution. An upper mass limit is found, analogous
to Buchdahl's theorem in 3+1, and the possibility of collapse is discussed. The
case of a uniform matter density is solved exactly and a new interior solution
is presented.Comment: 11 pages, revtex, no figure
Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions
We present a study of the geodesic equations of a black hole space-time which
is a solution of the three-dimensional NMG theory and is asymptotically
Lifshitz with and as found in [Ayon-Beato E., Garbarz A., Giribet
G. and Hassaine M., Phys. Rev. {\bf D} 80, 104029 (2009)]. By means of the
corresponding effective potentials for massive particles and photons we find
the allowed motions by the energy levels. Exact solutions for radial and
non-radial geodesics are given in terms of the Weierstrass elliptic ,
, and functions.Comment: 10 pages, 6 figures, accepted for publication in Eur. Phys. J.
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