Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-02-11
J.Math.Phys. 36 (1995) 4984-5004
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
35 pages, compressed and uuencoded RTF file
Scientific paper
10.1063/1.531210
We reformulate the Einstein equations as equations for families of surfaces on a four-manifold. These surfaces eventually become characteristic surfaces for an Einstein metric (with or without sources). In particular they are formulated in terms of two functions on R4xS2, i.e. the sphere bundle over space-time, - one of the functions playing the role of a conformal factor for a family of associated conformal metrics, the other function describing an S2's worth of surfaces at each space-time point. It is from these families of surfaces themselves that the conformal metric - conformal to an Einstein metric - is constructed; the conformal factor turns them into Einstein metrics. The surfaces are null surfaces with respect to this metric.
Frittelli Simonetta
Kozameh Carlos
Newman Ted
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