New currents with Killing–Yano tensors
Ulf Lindström, Özgür Sarıoğlu
Abstract
Abstract New relations involving the Riemann, Ricci and Einstein tensors that have to hold for a given geometry to admit Killing–Yano tensors (KYTs) are described. These relations are then used to introduce novel conserved ‘currents’ involving such KYTs. For a particular current based on the Einstein tensor, we discuss the issue of conserved charges and consider implications for matter coupled to gravity. The condition on the background geometry to allow asymptotic conserved charges for a current introduced by Kastor and Traschen is found and a number of other new aspects of this current are commented on. In particular we show that it vanishes for rank ( D − 1) KYTs in D dimensions.
Topics & Concepts
PhysicsEinsteinTensor (intrinsic definition)Current (fluid)Conserved quantityRank (graph theory)Classical mechanicsMetric (unit)Mathematical physicsTheoretical physicsRiemann hypothesisGeometryPure mathematicsOperations managementCombinatoricsEconomicsThermodynamicsMathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories