Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-07-22
Int.J.Mod.Phys. A16 (2001) 2945-2964
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, no figures, LaTeX file
Scientific paper
10.1142/S0217751X01004232
We derive a perturbative scheme to treat the interaction between point sources and AdS-gravity. The interaction problem is equivalent to the search of a polydromic mapping $X^A= X^A(x^\mu)$, endowed with 0(2,2) monodromies, between the physical coordinate system and a Minkowskian 4-dimensional coordinate system, which is however constrained to live on a hypersurface. The physical motion of point sources is therefore mapped to a geodesic motion on this hypersuface. We impose an instantaneous gauge which induces a set of equations defining such a polydromic mapping. Their consistency leads naturally to the Einstein equations in the same gauge. We explore the restriction of the monodromy group to O(2,1), and we obtain the solution of the fields perturbatively in the cosmological constant.
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