Table of Contents
International Scholarly Research Notices
Volume 2016, Article ID 9312525, 6 pages
Research Article

Generalized Robertson-Walker Space-Time Admitting Evolving Null Horizons Related to a Black Hole Event Horizon

Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada N9B 3P4

Received 20 June 2016; Accepted 4 August 2016

Academic Editor: Elias C. Vagenas

Copyright © 2016 K. L. Duggal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new technique is used to study a family of time-dependent null horizons, called “Evolving Null Horizons” (ENHs), of generalized Robertson-Walker (GRW) space-time such that the metric satisfies a kinematic condition. This work is different from our early papers on the same issue where we used -splitting space-time but only some special subcases of GRW space-time have this formalism. Also, in contrast to previous work, we have proved that each member of ENHs is totally umbilical in . Finally, we show that there exists an ENH which is always a null horizon evolving into a black hole event horizon and suggest some open problems.