The Exact Solutions to the Gravitational Contraction in Comoving Coordinate System
General Relativity and Quantum Cosmology
2009-04-30 v2 Solar and Stellar Astrophysics
Abstract
The gravitational collapse of a star is a warmly discussed but still puzzling problem, which not only involves the dynamics of the gases, but also the subtle coordinate transformation. In this letter, we give some more detailed investigation on this problem, and reach the results: (I). The comoving coordinate system for the stellar system is only compatible with the zero-pressure free falling particles. (II). For the free falling dust, there are three kind of solutions respectively corresponding to the oscillating, the critical and the open trajectories. The solution of Oppenheimer and Snyder is the critical case. (III). All solutions are exactly derived. There is a new kind singularity in the solution, but its origin is unclear.
Keywords
Cite
@article{arxiv.0705.2133,
title = {The Exact Solutions to the Gravitational Contraction in Comoving Coordinate System},
author = {Ying-Qiu Gu},
journal= {arXiv preprint arXiv:0705.2133},
year = {2009}
}