Nonlinear Dynamics and Applications

2007, Vol.14, pp.197-201

Spherically-symmetric static space-times with minimally coupled scalar field.
I. A. Siutosou and L. M. Tomilchik

In the paper a general ''inverse'' method for Einstein equation is developed. It is based on algebraic decomposition of the Einstein tensor. The general family of spherically-symmetric static space-times, filled by a static scalar field, was found by this technique. It is shown that in the case of minimal coupling such space-times is uniquely determined by one characteristic function.
Key words: Lagrangian, energy-momentum tensor, scalar field, exact solutions of Einstein equations

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