On global existence for the spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates Hakan Andreasson 83C0583C5583C75Einstein-Vlasovcontinuation criteriaglobal existencegravitational collapsecosmic censorship The spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates (i.e., polar slicing and areal radial coordinate) is considered. An improved continuation criterion for global existence of classical solutions is given. Two other types of criteria which prevent finite time blow-up are also given. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.2892 10.1512/iumj.2007.56.2892 en Indiana Univ. Math. J. 56 (2007) 523 - 552 state-of-the-art mathematics http://iumj.org/access/