RUI: Nature of Spacetimes with Mild Singularities or Cauchy Horizons

United States Naval Academy- Do Not Use, Annapolis MD

Investigators

Abstract

A theoretical study will be undertaken of gravitational models called spacetimes which contain two kinds of boundaries: mild singularities, defined by particle paths which end abruptly, and Cauchy horizons, defined as the stopping point for the equations which describe the model. The research will have three thrusts. The first will be to study the behavior of quantum particles in the vicinity of the spacetime singularities. The second will be to extend a previously-developed conjecture into the stability of singularities and Cauchy horizons. The last will be to study the mathematical structure of spacetimes with certain unusual singularities. The mathematical models used are based on Einstein's theory which describes gravitation, one of the four basic forces of nature. It is therefore important to understand both the mathematical structure and predictions of this theory. Since basic theorems predict the existence of singularities in Einstein's theory, it is important to study the nature of these singularities. Therefore, Prof Konkowski has chosen to study spacetime solutions to Einstein's equations which possess the most pathological types of singularities. In particular, spacetimes are studied with mild singularities and Cauchy horizons. This study should lead to a more thorough understanding of general relativity and its models of the gravitational effects of physical objects.