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Tidal invariants along the worldline of an extended body in Kerr spacetime

Tidal invariants along the worldline of an extended body in Kerr spacetime

An extended body orbiting a compact object undergoes tidal deformations by the background gravitational field. Tidal invariants built up with the Riemann tensor and their derivatives evaluated along the worldline of the body are essential tools to investigate both geometrical and physical properties of the tidal interaction. For example, one …