2024/01/22 by A. Placidi, P. Rettegno, Placidi, Andrea +3
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Angular momentum #Circular orbit #Classical mechanics #FOS: Physical sciences #Gauge (firearms) #Gauge theory #General Relativity and Quantum Cosmology (gr-qc) #Gravitation #Hamiltonian (control theory) #High-pressure geophysics and materials #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Physics #Pulsars and Gravitational Waves Research #Quantum chromodynamics #Resummation #Superconducting Materials and Applications #Theoretical physics
paper · pdf · doi:10.48550/arxiv.2401.12290
openalex publication_date 2024/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We build upon recent work by Antonelli et al. [Phys. Rev. Lett. 125 (2020) 1, 011103] to obtain, within the effective-one-body (EOB) formalism, and for an arbitrary choice of gauge, the third-subleading post-Newtonian (4.5PN) corrections to the spin-orbit conservative dynamics of spin-aligned binaries. This is then specialized to: (i) the well-known Damour-Jaranowski-Schäfer (\rm DJS) gauge, where the dependence on the angular momentum of the gyro-gravitomagnetic functions (GS,GS_*) is removed and (ii) to an alternative gauge (called anti-\rm DJS gauge, \rm DJS) that is chosen so as to precisely reproduce the Hamiltonian of a spinning test-particle at linear order in the particle spin and keep the full dependence on the radial and angular momentum in (GS,GS_*). We use these results to extend by one perturbative order, in PN sense, the analytical knowledge of the periastron advance. After performing a suitable factorization and resummation of (GS,GS_*), the \rm DJS and \rm DJS performances are compared via various gauge-invariant quantities at the EOB last stable circular orbit. We eventually find some indications that the \rm DJS gauge might be advantageous in the description of the inspiral dynamics of circularized binaries.