The Dynamical Instability of Static, Spherically Symmetric Solutions in Nonsymmetric Gravitational Theories

preprint1998arXivOpen access

Abstract

We consider the dynamical stability of a class of static, spherically-symmetric solutions of the nonsymmetric gravitational theory. We numerically reproduce the Wyman solution and generate new solutions for the case where the theory has a nontrivial fundamental length scale μ^{-1}. By considering spherically symmetric perturbations of these solutions we show that the Wyman solutions are generically unstable.

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