naa a22 4500 510767915 CHVBK 20180411083203.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12043-013-0603-7 doi (NATIONALLICENCE)springer-10.1007/s12043-013-0603-7 Incompressible Einstein-Maxwell fluids with specified electric fields [Elektronische Daten] [S HANSRAJ, S MAHARAJ, T MTHETHWA] The Einstein-Maxwell equations describing static charged spheres with uniform density and variable electric field intensity are studied. The special case of constant electric field is also studied. The evolution of the model is governed by a hypergeometric differential equation which has a general solution in terms of special functions. Several classes of exact solutions are identified which may be considered as charged generalizations of the incompressible Schwarzschild interior model. An analysis of the physical features is undertaken for the uniform case. It is demonstrated that uniform density spheres with constant electric field intensity are not realizable with isotropic pressures. This highlights the necessity of studying the criteria for physical admissability of gravitating spheres in general relativity which are solutions to the Einstein-Maxwell equations. Indian Academy of Sciences, 2013 Einstein-Maxwell equations nationallicence relativistic astrophysics nationallicence charged fluid spheres nationallicence HANSRAJ S. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut MAHARAJ S. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut MTHETHWA T. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut Pramana Springer India 81/4(2013-10-01), 557-567 0304-4289 81:4<557 2013 81 12043 https://doi.org/10.1007/s12043-013-0603-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-013-0603-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- HANSRAJ S. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut NATIONALLICENCE 700 1- MAHARAJ S. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut NATIONALLICENCE 700 1- MTHETHWA T. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa aut NATIONALLICENCE 773 0- Pramana Springer India 81/4(2013-10-01), 557-567 0304-4289 81:4<557 2013 81 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer