- 98-207 Sen, D. K.
- Relativity on 3-manifolds
Mar 18, 98
(auto. generated ps),
of related papers
Abstract. We present a new formulation of General Relativity
in an entirely 3-dimensional pseudo--Riemannian space. Here
the basic idea is to represent local physical observers by
nonsingular 3-dimensional vector fields of bounded length and the
dynamics of physical fields by the flows of vector fields.
The flow parameter plays the role of local time for each
physical observer, and the Lie derivative replaces the time
derivative. Some wellknown solutions and a new solution of the
vacuum Einstein field equations are formulated in this framework.