Gravitational charges of transverse asymptotically AdS spacetimes
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Using Killing-Yano symmetries, we construct conserved charges of spacetimes that asymptotically approach to the flat or Anti-de Sitter spaces only in certain directions. In D dimensions, this allows one to define gravitational charges (such as mass and angular momenta densities) of p-dimensional branes/solitons or any other extended objects that curve the transverse space into an asymptotically flat or AdS one. Our construction answers the question of what kind of charges the antisymmetric Killing-Yano tensors lead to.
11 pages, no figures, REVTeX 4; version 2: important corrections made; version 3: one new paragraph and 2 references added, accepted for publication in PRD
11 pages, no figures, REVTeX 4; version 2: important corrections made; version 3: one new paragraph and 2 references added, accepted for publication in PRD