Lsdiff M and the Einstein Equations

Details Lsdiff M and the Einstein Equations Lsdiff M and the Einstein Equations

1994-11-22

arxiv.org/abs/gr-qc/9411059v4

Class.Quant.Grav.13:L1-L6,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures, Latex, uses amsfonts, amssym.def and amssym.tex. Note added on more direct connection with Yang-Mills equ

Scientific paper

10.1088/0264-9381/13/1/001

We give a formulation of the vacuum Einstein equations in terms of a set of
volume-preserving vector fields on a four-manifold ${\cal M}$. These vectors
satisfy a set of equations which are a generalisation of the Yang-Mills
equations for a constant connection on flat spacetime.

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