Spherically-symmetric static space-times with minimally coupled scalar field

Computer Science – Numerical Analysis

Scientific paper

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Einstein Field Equations, Lagrangian Field Theory, Numerical Analysis, Fundamental Problems And General Formalism, Canonical Formalism, Lagrangians, And Variational Principles, Ordinary And Partial Differential Equations, Boundary Value Problems

Scientific paper

In the paper algebraic decomposition of the Einstein tensor is used as a tool for solving Einstein equation. Analytical expressions for metric tensors of the general families of spherically-symmetric static space-times, filled by a static scalar field or by an oscillating complex scalar field (bosonic stars), were found by this technique. It is shown that in the case of minimal coupling such space-times is uniquely determined by one or two characteristic functions.

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