Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries
Adam Pound, Barry Wardell, Niels Warburton, J. Miller
Abstract
Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical, but calculations of these effects have been beset by obstacles. In this Letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.
Topics & Concepts
PhysicsGravitational binding energyGravitational waveSchwarzschild radiusGravitationGravitational energyOrder (exchange)ComputationEnergy (signal processing)Black hole (networking)Gravitational forceClassical mechanicsQuantum mechanicsComputer scienceAlgorithmRouting protocolFinanceComputer networkRouting (electronic design automation)EconomicsLink-state routing protocolPulsars and Gravitational Waves ResearchAstrophysical Phenomena and ObservationsGamma-ray bursts and supernovae