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Radial motion of a thin disk in Newtonian theory w2 02 86
Collapse According to Einstein
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angular momentum angular velocity assume assumption axial symmetry axis becomes behavior boundary values centrifugal force choose Christoffel symbols collapsing body comoving coordinate system component of Eq constant corresponds critical ratio curve defined develop domain of determinacy dynamical singularity Einstein field equations equation of motion expulsion of matter finite function galaxies geodesic given by Eq gravitational collapse gravitational constant gravitational force gravitational potential energy gravitational waves hyperplane of symmetry initial value inner characteristic integration light rays lowest order metric momentum per unit negligible Newtonian potential Newtonian theory nonrotating obtain orthogonal plane of symmetry pressure gradients propagation quantities radius region relativistic remain represents require result rotating body rotational kinetic energy rotational velocity satisfies the equation seen slopes solution spatial spherically symmetric Substituting Eq thin disk timelike transformation triad uniform density spheroid uniform rotation unit mass vanishes vector weak field limit world line