A new class of spherically symmetric interior solution with cosmological constant \(\Lambda\) (Q1095428)

A new class of spherically symmetric interior solution with cosmological constant \(\Lambda\) is obtained, to which Florides' solution is extended. As a special case, the metric in uniform proper density is discussed. The Robson junction condition is also extended to the case with nonvanishing \(\Lambda\), which is a set of necessary and sufficient conditions for a spherically symmetric metric to join smoothly onto the vacuum metric at a nonnull boundary surface. The new solution satisfies the extended Robson condition.