Generalized Einstein-Maxwell Solutions with Anisotropic Fluids

Abstract

This paper extends the Cooperstock-De la Cruz solution to the Einstein-Maxwell equations in the context of static spherical systems, incorporating strong gravitational fields. A new formulation is introduced where the stress-energy tensor components satisfy the condition 2p−e≈02p - e \approx 02p−e≈0. This generalization provides explicit forms of the gravitational fields, along with the boundary conditions. The solutions derived offer new insights into the nature of anisotropic fluids and null conductivity in highly curved spacetime. We explore the physical implications of these findings and their relevance in extreme astrophysical environments, such as near compact objects and black holes. These results open avenues for further research into the behavior of relativistic fluids and electromagnetic fields in gravitational contexts