Scattering of tidally interacting bodies in post-Minkowskian gravity
Donato Bini, Thibault Damour, Andrea Geralico
Abstract
The post-Minkowskian approach to gravitationally interacting binary systems (i.e., perturbation theory in $G$, without assuming small velocities) is extended to the computation of the dynamical effects induced by the tidal deformations of two extended bodies, such as neutron stars. Our derivation applies general properties of perturbed actions to the effective field theory description of tidally interacting bodies. We compute several tidal invariants (notably the integrated quadrupolar and octupolar actions) at the first post-Minkowskian order. The corresponding contributions to the scattering angle are derived.
Topics & Concepts
PhysicsClassical mechanicsPerturbation theory (quantum mechanics)Perturbation (astronomy)ComputationTidal forceGravitationGravitational fieldNeutron starScatteringAstrophysicsQuantum mechanicsMathematicsAlgorithmPulsars and Gravitational Waves ResearchGeophysics and Gravity MeasurementsHigh-pressure geophysics and materials