Conserved currents for a Kerr black hole and orthogonality of quasinormal modes
Stephen Green, Stefan Hollands, Laura Sberna, Vahid Toomani, Peter Zimmerman
Abstract
Using a symmetry of the Kerr spacetime, the authors determine an original bilinear form for perturbations of the Weyl scalars. They show that upon choosing appropriate integration contours, this form can also be used on quasi-normal mode data. This manuscript provides a formalism for studying ringdown beyond the leading order, with potential application to numerical relativity and gravitational wave observation.
Topics & Concepts
Bilinear interpolationScalar (mathematics)Conserved quantityQuasinormal modePhysicsMathematical physicsConservation lawOrthogonalityRotating black holeMathematicsQuantum mechanicsScalar fieldGeometryStatisticsAngular momentumBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchAstrophysical Phenomena and Observations