A General Expression for the Quartic Lovelock Tensor

Details A General Expression for the Quartic Lovelock Tensor A General Expression for the Quartic Lovelock Tensor

1997-03-27

arxiv.org/abs/gr-qc/9703074v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

PostScript file, 2 pages

Scientific paper

A general expression is given for the quartic Lovelock tensor in terms of the Riemann-Christoffel and Ricci curvature tensors and the Riemann curvature scalar for n-dimensional differentiable manifolds having a general linear connection. In addition, expressions are given (in the appendix) for the coefficient of the quartic Lovelock Lagrangian as well as for lower-order Lovelock tensors and Lovelock Lagrangian coefficients.

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