HIGHER-DIMENSIONAL RELATIVISTIC-FLUID SPHERES

We consider the hydrostatic equilibrium of relativistic-fluid spheres for a D-dimensional space-time. Three physically viable interior solut ions of the Einstein field equations corresponding to perfect-fluid sp heres in a D-dimensional space-time are obtained. When D = 4, they red uce, respectively, to the Tolman IV solution, the Mehra solution and t he Finch-Skea solution. The solutions are smoothly matched with the D- dimensional Schwarzschild exterior solution at the boundary r = a of t he fluid sphere. Some physical features and other related details of t he solutions are briefly discussed. A brief description of two other n ew solutions for higher-dimensional perfect-fluid spheres is also give n.