Corpus ID: 119340836

A General Expression for the Quartic Lovelock Tensor

  title={A General Expression for the Quartic Lovelock Tensor},
  author={C. C. Briggs},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • C. C. Briggs
  • Published 1997
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
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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