Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes

Details Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes

2006-10-05

arxiv.org/abs/math/0610175v1

Advances in Mathematics 218 (2008) 515--536

Mathematics

Differential Geometry

Scientific paper

In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are commonly used: pseudo-coercivity, bounds on certain coefficients of the metric, etc. We prove that these technical assumptions admit a natural interpretation for the conformal structure (causality) of the manifold. As a consequence, any stationary spacetime with a complete timelike Killing vector field and a complete Cauchy hypersurface (thus, globally hyperbolic), is proved to be geodesically connected.

Affiliated with

Also associated with

No associations

Rating

Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656521