A NOTE ON EXACT SPHERICALLY SYMMETRICAL INTERIOR SOLUTIONS IN HIGHER DIMENSIONS

Citation
Sd. Maharaj et Lk. Patel, A NOTE ON EXACT SPHERICALLY SYMMETRICAL INTERIOR SOLUTIONS IN HIGHER DIMENSIONS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(8), 1996, pp. 1005-1010
Citations number
16
Categorie Soggetti
Physics
ISSN journal
11241888
Volume
111
Issue
8
Year of publication
1996
Pages
1005 - 1010
Database
ISI
SICI code
1124-1888(1996)111:8<1005:ANOESS>2.0.ZU;2-5
Abstract
A method of constructing a new family of solutions for higher-dimensio nal perfect-fluid spheres from a known perfect-fluid solution is prese nted. We consider perfect-fluid solutions satisfying the equation of s tate p = k rho, 0 < k less than or equal to 1. A new family of higher- dimensional interior solutions is obtained for each value of k from a Tolman-type higher-dimensional perfect-fluid solution. Also, we presen t a solution, in higher dimensions, with spheroidal geometry on the hy persurfaces t = constant.