Some Solutions of Einstein-Maxwell Field Equations for Charged Fluid Sphere

Strong Cosmic Censorship for Solutions of the Einstein-maxwell Field Equations with Polarized Gowdy Symmetry

A proof of strong cosmic censorship is presented for a class of solutions of the Einstein-Maxwell equations, those with polarized Gowdy symmetry. A key element of the argument is the observation that by means of a suitable choice of variables the central equations in this problem can be written in a form where they are identical to the central equations for general (i.e. non-polarized) vacuum G...

Some Variational Problems for Field Equations Coupled with Maxwell Equations

Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations

We consider the coupled Einstein-Dirac-Maxwell equations for a static, spherically symmetric system of two fermions in a singlet spinor state. Soliton-like solutions are constructed numerically. The stability and the properties of the ground state solutions are discussed for different values of the electromagnetic coupling constant. We find solutions even when the electromagnetic coupling is so...

Generating Conjecture and Some Einstein-maxwell Field of High Symmetry

There exist different methods to find the solutions of the Einstein–Maxwell equations [1]. Some high symmetry solutions of the Einstein equations have direct astrophysical or cosmological interpretation [2]. In [3], a new conjecture was formulated which says: “ A test electromagnetic field having a potential proportional to the Killing vector of a seed vacuum gravitational field (up to a consta...

Stationary Axisymmetric Solutions of the Einstein Equations with Rigidly Rotating Perfect Fluid and Nonlinear Charged Sources

A class of stationary rigidly rotating perfect fluid coupled with nonlinear electromagnetic fields was investigated. An exact solution of the Einstein equations with sources for the Carter B(+) branch was found, for the equation of state 3p + = constant. We use a structural function for the Born-Infeld non-linear electrodynamics which is invariant under duality rotations and a metric possessing...