Calculates energy fluxes with quadratic-in-spin and quadrupole effects for small-mass-ratio spinning binaries in self-force theory, providing numerical data and sixth-order PN expansions.
Second Order Gravitational Self-Force
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abstract
The second-order gravitational self-force on a small body is an important problem for gravitational-wave astronomy of extreme mass-ratio inspirals. We give a first-principles derivation of a prescription for computing the first and second perturbed metric and motion of a small body moving through a vacuum background spacetime. The procedure involves solving for a "regular field" with a specified (sufficiently smooth) "effective source", and may be applied in any gauge that produces a sufficiently smooth regular field.
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Multiple Hamiltonian definitions of the conservative second-order self-force are identified in a nonlinear scalar toy model, restricted to unbound scattering trajectories.
Extended 1PA self-force waveforms for slowly spinning primary and precessing secondary, with re-summed 1PAT1R variant showing improved accuracy against NR for q ≳ 5 and |χ1| ≲ 0.1.
citing papers explorer
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Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries
Calculates energy fluxes with quadratic-in-spin and quadrupole effects for small-mass-ratio spinning binaries in self-force theory, providing numerical data and sixth-order PN expansions.
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Conservative and dissipative sectors in a nonlinear scalar model for the gravitational self-force problem
Multiple Hamiltonian definitions of the conservative second-order self-force are identified in a nonlinear scalar toy model, restricted to unbound scattering trajectories.
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Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
Extended 1PA self-force waveforms for slowly spinning primary and precessing secondary, with re-summed 1PAT1R variant showing improved accuracy against NR for q ≳ 5 and |χ1| ≲ 0.1.