Mathematical Clarification of General Relativistic Variational Principles

Abstract

In this paper a mathematically precise global (i.e. not the usual local) approach is presented to the variational principles of general relativistic classical field theories. Problems of the classic (usual) approaches are also discussed in comparison. The aim of developing a global approach is to provide a possible tool for future efforts on proving global existence theorems of field theoretical solutions.

arXiv comment17 pages