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2009

A formalism for analyzing vacuum spacetimes

Reiterer, Michael, Trubowitz, Eugene

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The Einstein vacuum equations in the formulation developed by Newman, Penrose [NP] and Friedrich [Fr] are expressed in terms of a Lie superbracket.

Differential identities are derived from the super Jacobi identity.
This perspective clarifies the covariance properties of the equations.
The equations are intended as a tool for the analytic study of vacuum spacetimes.

A formalism for analyzing vacuum spacetimes · Around

Built on

Newman, E. and Penrose, R., J. Math. Phys. 3
1962
Earlier work this paper cites.

Similar

Friedrich, H., Proc. R. Soc. Lond. A 375
1981
Cited alongside, same era.
Reiterer, M. and Trubowitz, E., arxiv.org/abs/0906.3812
Original
Cited in the paper.

Then

Sharpe, R.W. , Differential Geometry
1997
Later among the works it cites.

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