HORIZONS AND SINGULARITIES IN STATIC, SPHERICALLY SYMMETRICAL SPACETIMES

We make a thorough study of the regions near finite-order metric-singularity boundaries of static, spherically symmetric spacetimes. After distinguishing curvature singularities from other types of metric breakdown, we examine the eigen-values of the energy tenser near the singularities for positivity and energy dominance, find the causal class of the t-translation (''static'') Killing field, and ascertain the presence or absence of timelike, null, and spacelike geodesic incompleteness for each spacetime. For a cei tain subclass of spacetimes, we also show the completeness of all timelike and spacelike curves despite the superficial failure of the metric.