Relativistic Motion of Stars Near Rotating Black Hole

TL;DR

This paper develops a Lagrangian framework to analyze the motion of stars near rapidly rotating black holes, applying it to Kerr spacetime and tidal disruption phenomena.

Contribution

It introduces a Lagrangian formulation for stellar motion in Kerr spacetime, enabling detailed analysis of tidal disruption near rotating black holes.

Findings

Lagrangian approach effectively models stellar trajectories near black holes.

Application to Kerr spacetime reveals insights into tidal disruption processes.

Framework can be used for future studies of relativistic stellar dynamics.

Abstract

Formulation of the Lagrangian approach is presented for studying features of motions of stellar bodies with non-zero rest mass in the vicinity of fast-spinning black holes. The structure of Lagrangian is discussed. The general method is applied to description of body motion in the Kerr model of space-time to transition to the problem of tidal disruption of elastic bodies by strong gravitational field.