Black holes in a gravitational field: the non-linear static love number of Schwarzschild black holes vanishes
Alex Kehagias, Antonio Riotto
Abstract
Abstract We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in a parity-even external tidal force. We also identify the underlying non-linear symmetry which is responsible for this result and becomes manifest when the black hole metric is written in axsymmetric static Weyl coordinates.
Topics & Concepts
PhysicsSchwarzschild radiusGravitational fieldWhite holeSchwarzschild metricBlack hole (networking)Hawking radiationClassical mechanicsCharged black holeGravitationField (mathematics)Quantum electrodynamicsTheoretical physicsGeneral relativityAstrophysicsGravitational waveGravitational collapsePure mathematicsRouting (electronic design automation)Routing protocolMathematicsComputer networkComputer scienceLink-state routing protocolBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchCosmology and Gravitation Theories