Inertial effects in the gravitational collapse of a rotating shell
Abstract
Inertial dragging effects of slowly rotating masses in asymptotically flat spaces are well known for the case of a stationary distribution of matter. In the present work we investigate a more general example in which angular acceleration of the matter is present. We solve the Einstein field equation for the case of the freefall collapse of a rotating dust shell. The solution is exact, through terms of first order in ω (the angular velocity of the shell), for shells of arbitrary rest mass and radial velocity. The inertial properties of the flat interior region of this solution are discussed. Among the problems elucidated by this solution is the question of whether the inertial effects are instantaneous or retarded as viewed from infinity.
 Publication:

Physical Review D
 Pub Date:
 November 1974
 DOI:
 10.1103/PhysRevD.10.3151
 Bibcode:
 1974PhRvD..10.3151L
 Keywords:

 Astronomical Models;
 Gravitational Collapse;
 Mach Inertia Principle;
 Rotating Bodies;
 Angular Acceleration;
 Angular Velocity;
 Asymptotes;
 Einstein Equations;
 Equations Of Motion;
 Free Fall;
 Mathematical Models;
 Rotating Matter;
 Schwarzschild Metric;
 Astrophysics