Some recent problems in Lorentzian Geometry and possible applications to General Relativity

Details Some recent problems in Lorentzian Geometry and possible applications to General Relativity Some recent problems in Lorentzian Geometry and possible applications to General Relativity

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1122..164s&link_type=abstract

PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP Conference Proceedings, Volume

Mathematics

Approximation Methods, Equations Of Motion, Acoustooptical Effects, Optoacoustics, Acoustical Visualization, Acoustical Microscopy, And Acoustical Holography, Numerical Approximation And Analysis

Scientific paper

Recently, a remarkable progress about some deep geometric problems on Lorentzian manifolds has been carried out. Initially, these problems were inspired from a purely mathematical viewpoint, but applications on relativistic spacetimes appear. Our purpose is to point out briefly the existence of such mathematical tools for relativists.
The topics covered are: (1) Finsler geometry and the structure of stationary spacetimes, (2) variational methods for geodesic connectedness and gravitational lensing, and (3) causal boundaries and AdS/CFT correspondence.

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