Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime

TL;DR

This paper calculates precise gravitational self-force corrections to tidal invariants for spinning particles in circular orbits around a Schwarzschild black hole, advancing understanding of spin effects in gravitational wave physics.

Contribution

It provides the first-order in spin and high post-Newtonian order corrections to tidal invariants for spinning particles in Schwarzschild spacetime.

Findings

Corrections computed up to 9.5 post-Newtonian order.

Results include eigenvalues of tidal tensors.

Enhances modeling of spinning particle dynamics in strong gravity.

Abstract

We compute gravitational self-force corrections to tidal invariants for spinning particles moving along circular orbits in a Schwarzschild spacetime. In particular, we consider the square and the cube of the gravitoelectric quadrupolar tidal tensor and the square of the gravitomagnetic quadrupolar tidal tensor. Our results are accurate to first-order in spin and through the 9.5 post-Newtonian order. We also compute the associated electric-type and magnetic-type eigenvalues.