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Article Dans Une Revue Class.Quant.Grav. Année : 2021

Multipolar Particles in Helically Symmetric Spacetimes

Résumé

We consider a binary system of spinning compact objects with internal structure, moving along an exactly circular orbit, and modeled within the multipolar gravitational skeleton formalism, up to quadrupolar order. We prove that the worldline of each multipolar particle is an integral curve of the helical Killing vector field, and that the four-velocity, four-momentum, spin tensor and quadrupole tensor of each particle are Lie-dragged along those worldlines. The geometrical framework developed in this paper paves the way to an extension of the first law of compact-object binary mechanics up to quadrupolar order.

Dates et versions

hal-02634710 , version 1 (27-05-2020)

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Paul Ramond, Alexandre Le Tiec. Multipolar Particles in Helically Symmetric Spacetimes. Class.Quant.Grav., 2021, 38 (13), pp.135022. ⟨10.1088/1361-6382/abebef⟩. ⟨hal-02634710⟩
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