Near horizon gravitational charges
Hai-Shan Liu, Pujian Mao
Abstract
A bstract In this paper, we study the near horizon symmetry and gravitational charges in the Newman-Penrose formalism. In particular we investigate the effect from topological terms. We find that the Pontryagin term and Gauss-Bonnet term have significant influence on the near horizon charges and bring interesting novel features. We show that the gravitational charge derived from a general class of topological terms including the Pontryagin term and Gauss-Bonnet term can be obtained from the ambiguities of the symplectic potential.
Topics & Concepts
HorizonSymplectic geometryGravitationTerm (time)GaussPontryagin's minimum principlePhysicsFormalism (music)Gauss's lawSymmetry (geometry)Theoretical physicsMathematical physicsClassical mechanicsMathematicsPure mathematicsQuantum mechanicsGeometryAstronomyOptimal controlMathematical optimizationMusicalArtVisual artsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesGalaxies: Formation, Evolution, Phenomena