Gravitational charges of transverse asymptotically AdS spacetimes

Abstract

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.

arXiv comment11 pages, no figures, REVTeX 4; version 2: important corrections made; version 3: one new paragraph and 2 references added, accepted for publication in PRD

References in corpus (9)

• The Dynamics of General Relativity
• Energy in Generic Higher Curvature Gravity Theories
• Gravitational Energy in Quadratic Curvature Gravities
• SUSY in the sky
• Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime
• Conserved gravitational charges from Yano tensors
• Positivity of energy for asymptotically locally AdS spacetimes
• Negative Mass Solitons in Gravity
• Positivity Bounds for the Y-ADM Mass Density

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• New currents with Killing-Yano tensors
• Basic Gravitational Currents and Killing-Yano Forms
• Killing-Yano Forms of a Class of Spherically Symmetric Space-Times II: A Unified Generation of Higher Forms
• Killing-Yano charges of asymptotically maximally symmetric black holes
• A Systematic Construction of Kastor-Traschen Currents and their Extensions to Generic Powers of Curvature
• Abbott-Deser energy in connection with Thirring's superpotentials