Gravitomagnetic Love tensor of a slowly rotating body: Post-Newtonian theory
Eric Poisson
Abstract
How tidally deformable bodies, such as neutron stars, couple to gravitomagnetic tidal forces is the subject of this paper. The coupling was thought to be through a scalar quantity called the Love number, but the present work shows that the assumptions in the literature that led to this identification are erroneous and the correct way to characterize the interaction is through a tensor quantity that the author calls a Love tensor. This surprising and fundamental result is derived in post-Newtonian theory but is, in all likelihood, generalizable to full general relativity.
Topics & Concepts
Newtonian fluidScalar (mathematics)General relativityClassical mechanicsPhysicsTensor (intrinsic definition)Scalar–tensor theoryTheoretical physicsGravitationMathematicsGeometryPulsars and Gravitational Waves ResearchGeophysics and Gravity MeasurementsGamma-ray bursts and supernovae