Lsdiff M and the Einstein Equations
classification
🌀 gr-qc
hep-th
keywords
equationseinsteinconnectionconstantfieldsflatformulationfour-manifold
read the original abstract
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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