Gravitational Bremsstrahlung with Tidal Effects in the Post-Minkowskian Expansion
Stavros Mougiakakos, Massimiliano Maria Riva, Filippo Vernizzi
Abstract
We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in G and at all orders in the velocities, using the effective field theory worldline approach. In particular, we derive the conserved stress-energy tensor linearly coupled to gravity generated by the two bodies, including tidal fields, and the waveform in direct space. The integral is solved using scattering amplitude techniques. We show that our expressions are consistent with existing results up to the next-to-next-to-leading order in the post-Newtonian expansion.
Topics & Concepts
PhysicsGravitational fieldAmplitudeClassical mechanicsQuantum electrodynamicsGravitational waveTensor (intrinsic definition)GravitationQuadrupoleBremsstrahlungNewtonian fluidScatteringWaveformMomentum (technical analysis)Energy–momentum relationStress–energy tensorQuantum mechanicsExact solutions in general relativityPhotonPure mathematicsEconomicsMathematicsVoltageFinancePulsars and Gravitational Waves ResearchAstrophysics and Cosmic PhenomenaGamma-ray bursts and supernovae