Research Articles

General Relativity and Gravitation

, Volume 5, Issue 1, pp 73-77

First online:

Global analysis and general relativity

  • Arthur E. FischerAffiliated withDepartment of Mathematics, University of California
  • , Jerrold E. MarsdenAffiliated withDepartment of Mathematics, University of California

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


An outline of recent applications of modern infinitedimensional manifold techniques to general relativity is presented. The uses, scope, and future of such methods are delineated. It is argued that the mixing of the two active fields of general relativity and global analysis provides stimulation for both fields as well as producing good theorems. The authors' work on linearization stability of the Einstein equations is sketched out to substantiate the arguments.