Dual Foliation Formulations of General Relativity

Understand

A dual foliation treatment of General Relativity is presented.

• The basic idea of the construction is to consider two foliations of a spacetime by spacelike hypersurfaces and relate the two geometries.
• The treatment is expected to be useful in various situations, and in particular whenever one would like to compare objects represented in different coordinates.
• Potential examples include the construction of initial data and the study of trapped tubes.