A General Expression for the Quartic Lovelock Tensor

1997/03/27 by C. C. Briggs, Briggs, C. C. · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Elasticity and Material Modeling #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9703074

PostScript file, 2 pages

arxiv created 1997/03/27 · openalex publication_date 1997/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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