Regular reduction of relativistic theories of gravitation with a quadratic Lagrangian
Dec 15, 19857 pages
Published in:
- Phys.Rev.D 32 (1985) 3128-3135
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Abstract: (APS)
We consider those relativistic theories of gravitation which generalize Einstein’s theory in the sense that their field equations derive from a scalar Lagrangian which, besides the matter term, contains a linear combination of the Ricci scalar, its square, and the square of the Ricci tensor. Using a generalization of a technique which has been used to deal with some dynamical systems, we regularly and covariantly reduce the corresponding fourth-order differential equations to second-order ones. We examine, in particular, at a low order of approximation, these reduced equations in cosmology, and for static and spherically symmetric interior solutions with constant density.- 04.50.+h
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