English

A General Expression for the Quartic Lovelock Tensor

General Relativity and Quantum Cosmology 2007-05-23 v1

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.

Cite

@article{arxiv.gr-qc/9703074,
  title  = {A General Expression for the Quartic Lovelock Tensor},
  author = {C. C. Briggs},
  journal= {arXiv preprint arXiv:gr-qc/9703074},
  year   = {2007}
}

Comments

PostScript file, 2 pages