An adaptive algorithm for n-body field expansions
Weinberg, Martin D.
1998-05-28
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Comment: 11 pages; v.2: Some clarifying remarks added, to appear in PRD
Comment: 7 pages, 4 figures
Comment: 18 pages, 18 figures, Latex
The covering of the affine symmetry group, a semidirect product of
translations and special linear transformations, in $D \geq 3$ dimensional
spacetime is considered. Infinite dimensional spinorial representations on
states and fields are presented. A Dirac-like affine equation, with infinite
matrices generalizing the $\gamma$ matrices, is constructed.
Comment: 20 pages, phyzzx, v2 contains expanded introduction, additional
references etc to coincide with published version
Comment: 13 pages; submitted to J. Lorentz Geometry
In the present work we found the geodesic structure of an AdS black hole. By
means of a detailed analyze of the corresponding effective potentials for
particles and photon, we found all the possible motions which are allowed by
the energy levels. Radial and non radial trajectories were exactly evaluated
for both geodesics. The founded orbits were plotted in order to have a direct
visualization of the allowed motions. We show that the geodesic structure of
this black hole presents new type of motions not allowed by the Schwarzschild
spacetime.
Comment: Comparable-mass results have been corrected in view of related Errata
by Blanchet and Iyer (2005)
Comment: Latex, 12 pages
