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)

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

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.

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