Mathematics – Mathematical Physics
Scientific paper
Jul 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jmp....41.4752h&link_type=abstract
Journal of Mathematical Physics, Volume 41, Issue 7, pp. 4752-4764 (2000).
Mathematics
Mathematical Physics
20
Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Exact Solutions
Scientific paper
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>=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.
Harko Tiberiu
Mak Man-Kin
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