Gravitational charges of transverse asymptotically AdS spacetimes
Hakan Cebeci, Bayram Tekin, Ozgur Sarioglu
TL;DR
This paper develops a method to define gravitational charges like mass and angular momentum densities for extended objects in spacetimes that are asymptotically flat or AdS in certain directions, using Killing-Yano symmetries.
Contribution
It introduces a novel approach to construct conserved charges for extended objects in specific asymptotic geometries via Killing-Yano tensors.
Findings
Defines gravitational charges for p-branes and solitons in asymptotic AdS/flat spaces.
Uses Killing-Yano symmetries to identify conserved quantities.
Provides a framework for understanding charges associated with antisymmetric tensors.
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.
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