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

摘要

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.