均匀密度零压星的完整的引力解

Complete gravitational solution of a star with uniform density and zero pressure

证明了Oppenheimer和Snyder关于均匀密度零压星的引力塌缩的经典解是不完整的 ,它并不能正确地连接作为内解和外解的Friedmann度规和Schwarzschild度规 ;通过在离散时空上拓展解参数而构成了一个完整的引力解 ,它实现了Friedmann度规和Schwarzschild度规之间的等价连接 ,并可以证明是奇性自由的 ;这个完整的引力解显示了物质 。

The collapse solution of a star with uniform density and zero pressure given in the classic paper of Oppenheimer and Snyder is proved to be incomplete; it cannot correctly connect the Friedmann and Schwarzschild metrics as the interior and exterior solutions. By the extension of solution parameter in the discrete spacetime, we construct a complete gravitational solution, which could make an equivalence connection between the Friedmann and Schwarzschild metrics and is proves to be singularity-free. The solution shows that there exists a relationship among matter, gravitation and discrete spacetime configuration.