Einstein Equations via Null Surfaces |
| S. Iyer, E.T. Newman Dept. of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15213, USA and C. Kozameh FaMaf, University of Cordoba, Cordoba, Argentina |
| Dedicated to Prof. Iwo Białynicki-Birula on the occasion of his 60th birthday |
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| We present a version of the vacuum Einstein equations where the field equations are defined for cross-sections of a line bundle over the sphere and where the manifold of solutions is four-dimensional and defines the space-time itself. The cross-sections themselves become the characteristic surfaces of the space-time. |
| DOI: 10.12693/APhysPolA.85.647 PACS numbers: 04.20.-q |