Anisotropic charged fluid spheres in D space-time dimensions

The equations describing the hydrostatic equilibrium (mass continuity and Tolman-Oppenheimer-Volkoff) of a static anisotropic general relativistic fluid sphere are obtained in D (D greater than or equal to 4) space-time dimensions in the presence of a cosmological constant. The formalism thus developed is used to study homogeneous anisotropic constant density charged fluid spheres and homogeneous anisotropic charged spheres with a neutral isotropic core in higher dimensions. For these configurations and with a particular choice of the proper charge density a complete solution of the coupled Einstein-Maxwell equations is obtained. (C) 2000 American Institute of Physics. [S0022-2488(00)04807-6].