Axial perturbations of Wyman's solution

Statistics – Computation

Scientific paper

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Computational Astrophysics, Einstein Equations, Perturbation Theory, Space-Time Functions, Schroedinger Equation, Schwarzschild Metric

Scientific paper

Wyman's solution is the most general solution to the static spherically-symmetric Einstein massless scalar field equations. It is shown that it has no axial perturbation in which the scalar field is incremented, except in the case where the initial scalar field and the cross-metric increments are negligible. The one dimensional Schrödinger equation which governs axial metric perturbations is produced.

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