Geodesic
Shell dynamics in the presence of a central body
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 3, pp. 463-471

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We construct an idealized spherically symmetric relativistic model of an exploding object in the framework of the theory of surface layers in general relativity and match a Vaidya solution for a radially radiating star to another Vaidya solution through a thin spherical shell. We reduce the equations of motion and the radiation density of the Vaidya solution given by the matching conditions to a first-order system and analyze the general characteristics of the motion. We use a post-Newtonian approximation to find the equation of motion of a spherically symmetric radiating shell moving in a central gravitational potential.
Keywords: gravitational theory, general relativity, shell dynamics, shock wave. 
M. M. Babatin. Shell dynamics in the presence of a central body. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 3, pp. 463-471. http://geodesic.mathdoc.fr/item/TMF_2011_169_3_a8/
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