STABILITY ANALYSIS OF A NONSCALAR CURVATURE SINGULARITY

The behavior of test scalar waves on a dust-filled type-V locally rotationally symmetric spacetime is used to probe the nonscalar curvature singularity present and its associated Cauchy horizon. It is argued that the divergence of the stress-energy scalars for most wave modes makes the nonscalar curvature singularity unstable in general. However, a special subset of modes does not lead to divergence of the stress-energy scalars at the nonscalar singularity. These modes would leave the nonscalar curvature singularity unchanged. Furthermore, examination of the stress-energy tensor in a parallel-propagated orthonormal frame and stress-energy scalars show that the Cauchy horizon is left unchanged.