Generating Conjecture and Some Einstein-maxwell Field of High Symmetry
نویسنده
چکیده
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 constant factor), is simultaneously an exact electromagnetic potencial of the self consistent Einstein–Maxwell problem where the metric is stationary or static and it reduces to the mentioned seed metric when the parameter K characterizing the charge of the electromagnetic field source vanishes.” For exact seed solution of the Einstein’s equations we write
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