Physical Acceptability of Isolated , Static , Spherically Symmetric , Perfect Fluid Solutions of Einstein ’ s Equations

@inproceedings{Delgaty1998PhysicalAO,
title={Physical Acceptability of Isolated , Static , Spherically Symmetric , Perfect Fluid Solutions of Einstein ’ s Equations},
author={M. S. R. Delgaty and Kayll Lake},
year={1998}
}

We ask the following question: Of the exact solutions to Einstein's equations extant in the literature, how many could represent the field associated with an isolated static spherically symmetric perfect fluid source? The candidate solutions were subjected to the following elementary tests: i) isotropy of the pressure, ii) regularity at the origin, iii) positive definiteness of the energy density and pressure at the origin, iv) vanishing of the pressure at some finite radius, v) monotonic… CONTINUE READING

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