ThecollapsesolutionofastarwithuniformdensityandzeropressuregivenintheclassicpaperofOppenheimerandSnyderisprovedtobeincomplete;itcannotcorrectlyconnecttheFriedmannandSchwarzschildmetricsastheinteriorandexteriorsolutions.Bytheextensionofsolutionparameterinthediscretespacetime,weconstructacompletegravitationalsolution ,whichcouldmakeanequivalenceconnectionbetweentheFriedmannandSchwarzschildmetricsandisprovestobesingularity free.Thesolutionshowsthatthereexistsarelationshipamongmatter,gravitationanddiscretespacetimeconfiguration .