|
Shell dynamics in the presence of a central body
M. M. Babatin Department of Mathematics, College of Science, Al-Imam
Muhammed Ibn Saud Islamic University, Kingdom of Saudi Arabia
Abstract:
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.
Received: 23.11.2010 Revised: 13.04.2011
Citation:
M. M. Babatin, “Shell dynamics in the presence of a central body”, TMF, 169:3 (2011), 463–471; Theoret. and Math. Phys., 169:3 (2011), 1767–1774
Linking options:
https://www.mathnet.ru/eng/tmf6741https://doi.org/10.4213/tmf6741 https://www.mathnet.ru/eng/tmf/v169/i3/p463
|
|