An Exact General-Relativity Solution for the Motion and Intersections of Self-Gravitating Shells in the Field of a Massive Black Hole

Abstract

The motion with intersections of relativistic gravitating shells in the Schwarzschild gravitational field of a central body is considered. Formulas are derived for calculating parameters of the shells after intersection via their parameters before intersection. Such special cases as the Newtonian approximation, intersections of light shells, and intersections of a test shell with a gravitating shell are also considered. The ejection of one of the shells to infinity in the relativistic region is described. The equations of motion for the shells are analyzed numerically.

21 pages, 8 figures

References in corpus (1)

• Chaotic motion and ballistic ejection of gravitating shells

Cited by in corpus (5)

• Two worlds collide: Interacting shells in AdS spacetime and chaos
• On the dynamics of thin shells of counter rotating particles
• Charged membrane as a source for repulsive gravity
• High energy collision without fine tuning: Acceleration and multiple collisions of shells in a bound system
• Intersections of self-gravitating charged shells in a Reissner-Nordstrom field