Second-order scalar-tensor field equations in a four-dimensional space |
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Authors: | Gregory Walter Horndeski |
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Institution: | 1. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada
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Abstract: | Lagrange scalar densities which are concomitants of a pseudo-Riemannian metric-tensor, a scalar field and their derivatives of arbitrary order are considered. The most general second-order Euler-Lagrange tensors derivable from such a Lagrangian in a four-dimensional space are constructed, and it is shown that these Euler-Lagrange tensors may be obtained from a Lagrangian which is at most of second order in the derivatives of the field functions. |
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