Some Possible Features of General Expressions for Lovelock Tensors and for the Coefficients of Lovelock Lagrangians Up to the 15th Order in Curvature (and Beyond)

1998/08/18 by C. C. Briggs, Briggs, C. C.
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Elasticity and Material Modeling #Geometric Analysis and Curvature Flows #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9808050

6 pages, PostScript file, punctuation fixed, print format improved. Spacing fixed. PostScript replaced by pdf

arxiv created 2000/08/03 · arxiv updated 2009/11/30

Abstract

This paper presents some possible features of general expressions for Lovelock tensors and for the coefficients of Lovelock Lagrangians up to the 15th order in curvature (and beyond) 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.

Related

• A General Expression for the Quartic Lovelock Tensor
• A General Expression for the Quintic Lovelock Tensor
• Generalized Lovelock gravity
• General Expressions for the Coefficients of Chern Forms Up to the 13th Order in Curvature
• Some General Expressions for the Coefficient of the 14th Chern Form