Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-08
Phys.Rev. D73 (2006) 104013
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, references added, typos corrected
Scientific paper
10.1103/PhysRevD.73.104013
In this paper we, first, generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of Lovelock gravity, by introducing the tensorial form of surface terms that make the action well-defined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of Lovelock gravity with flat boundary at constant $t$ and $r$. Second, we obtain the metric of spacetimes generated by brane sources in dimensionally continued gravity through the use of Hamiltonian formalism, and show that these solutions have no curvature singularity and no horizons, but have conic singularity. We show that these asymptotically AdS spacetimes which contain two fundamental constants are complete. Finally we compute the conserved quantities of these solutions through the use of the counterterm method introduced in the first part of the paper.
Bostani Neda
Dehghani M. H.
Sheykhi Ahmad
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