Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures

0586911 - ASÚ 2025 RIV US eng J - Journal Article
Upton, Samuel D.
Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures.
Physical Review D. Roč. 109, č. 4 (2024), č. článku 044021. ISSN 2470-0010. E-ISSN 2470-0029
Grant - others:AV ČR(CZ) LQ100032102
Program: Prémie Lumina quaeruntur
Institutional support: RVO:67985815
Keywords : general relativity * quantum cosmology
OECD category: Astronomy (including astrophysics,space science)
Impact factor: 5, year: 2022
Method of publishing: Open access

Gravitational self-force theory is the primary way of modeling extreme-mass-ratio inspirals (EMRIs). One difficulty that appears in second-order self-force calculations is the strong divergence at the worldline of the small object, which causes both numerical and analytical issues. Previous work [Phys. Rev. D 95, 104056 (2017), 10.1103/PhysRevD.95.104056, Phys. Rev. D 103, 124016 (2021), 10.1103/PhysRevD.103.124016] demonstrated that this could be alleviated within a class of highly regular gauges and presented the metric perturbations in these gauges in a local coordinate form. We build on this previous work by deriving expressions for the highly regular gauge metric perturbations in both fully covariant form and as a generic coordinate expansion. With the metric perturbations in covariant or generic coordinate form, they can easily be expressed in any convenient coordinate system. These results can then be used as input into a puncture scheme in order to solve the field equations describing an EMRI.
Permanent Link: https://hdl.handle.net/11104/0354281