Post-Newtonian corrections to the motion of spinning bodies in NRGR
By Rafael A. Porto. 2005
198 citations recorded by the source corpus.
In this paper we include spin and multipole moment effects in the formalism used to describe the motion of extended objects recently introduced in [1]. A suitable description for spinning bodies is developed and spin-orbit, spin-spin and quadrupole-spin Hamiltonians are found at leading order. The existence of tidal, as well as self induced finite size effects is shown, and the contribution to the Hamiltonian is calculated in the latter. It is shown that tidal deformations start formally at O ( v 6 ) and O ( v 10 ) for maximally rotating general and compact objects respectively, whereas self induced effects can show up at leading order. Agreement is found for the cases where the results are known.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2dda6573d334da766c137e46583bb83cb9f78350
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Citations in the corpus
- The simplest massive S-matrix: from minimal coupling to black holes (2018, methodology): “This is given by the following world-line action: S = ∫ dσ { −m √ u2 − 1 2 SµνΩ µν + LSI [u µ, Sµν , gµν(y µ)] } (4.2) 6The authors would like to thank Rafael Porto for an explanation on the historical development of the subject.”
- Non-relativistic gravitation: from Newton to Einstein and back (2007, background): “For a spinning object the lowest order interaction, found in [18] and translated to NRG fields in [11], reads (in the conventions of [11]) S ⊃ 1 4 ∫ dtJ ij 0 Fij = 1 2 J · B (9)”
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, methodology): “For spinning objects such EFT techniques were first used in [16], and revised in [17], where eventually a Routhian approach from [18] was adopted.”
- The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “The first one, C1 = 0, encapsulates reparameterization invariance, whereas C2 = 0 is related to the choice of e μ [5] (or in other words, the center-of-rotation of a spinning object [82, 83]).”
- Holomorphic classical limit for spin effects in gravitational and electromagnetic scattering (2017, background): “This claim is argued by dimensional analysis, where it is clear that for a given order in G each power of |~q| carries a power of ~ unless a spin factor |~ S| is attached [24, 41, 51].”
- The Lagrangian-space Effective Field Theory of large scale structures (2013, methodology): “6 In section 5 we will derive the same equations from an action approach, following related ideas developed in [29, 30, 31, 32, 33] in the context of gravitational wave emission from binaries.”