User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse




Journal Article

Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole


Steinhoff,  Jan
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)

(Preprint), 330KB

Supplementary Material (public)
There is no public supplementary material available

Bini, D., Geralico, A., & Steinhoff, J. (2020). Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole. Physical Review D, 102(2): 024091. doi:10.1103/PhysRevD.102.024091.

Cite as: http://hdl.handle.net/21.11116/0000-0006-D7D5-7
We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a Schwarzschild background. Our analysis includes effects which are second order in spin, generalizing previous results for purely spinning particles. The perturbing body is assumed to move on the equatorial plane, the associated spin vector being orthogonal to it. The metric perturbations are obtained by using a standard gravitational self-force approach in a radiation gauge. Our results are accurate through the 6.5 post-Newtonian order, and are shown to reproduce the corresponding post-Newtonian expression for the same quantity computed by using the available Hamiltonian from an effective field theory approach for the dynamics of spinning binaries.