Graphical Representation of Invariants and Covariants in General Relativity

Details Graphical Representation of Invariants and Covariants in General Relativity Graphical Representation of Invariants and Covariants in General Relativity

1993-09-07

arxiv.org/abs/hep-th/9309035v1

Class.Quant.Grav.12:1021-1054,1995

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1088/0264-9381/12/4/011

We present a grapical way to describe invariants and covariants in the (4 dim) general relativity. This makes us free from the complexity of suffixes . Two new off-shell relations between (mass)$\ast\ast 6$\ invariants are obtained. These are important for 2-loop off-shell calculation in the perturbative quantum gravity. We list up all independent invarians with dimensions of (mass)$\ast\ast 4$\ and (mass)$\ast\ast 6$. Furthermore the explicit form of 6 dim Gauss-Bonnet identity is obtained.

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