Horizons and Analytic Extensions in Static Two-Dimensional Space-Times

Abstract

Necessary and sufficient conditions are derived for the analytic extendability of a static two‐dimensional space‐time. For all allowed cases, explicit analytic extensions are determined together with their corresponding Penrose‐Carter diagrams. Extensions are classified and further discussed in terms of these diagrams, with special consideration given to the question of bifurcate Killing horizons. The application of these results to four‐dimensional relativistic space‐times is illustrated with specific examples.