Steven Duplij, Elisabetta Di Grezia, Giampiero Esposito, Albert Kotvytskiy
A very general description of non-linear classical gravity, using generalized constitutive equations and constitutive tensors, is presented. Our approach includes non-Lagrangian as well as Lagrangian theories, allows for gravitational fields in the widest possible variety of media and accommodates the incorporation of non-local effects. Eventually, equations for non-linear gravito-electromagnetic waves are studied and solved in detail.
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http://arxiv.org/abs/1302.6472
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