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Hidden geometries in nonlinear theories: a novel aspect of analogue gravity

We show that nonlinear dynamics of a scalar field ϕ may be described as a modification of the spacetime geometry. Thus, the self-interaction is interpreted as a coupling of the scalar field with an effective gravitational metric that is constructed with ϕ itself.We prove that this process is universal, that is, it is valid for an arbitrary Lagrangian. Our results are compared to usual analogue models of gravitation, where the emergence of a metric appears as a consequence of linear perturbation.

Authors: E Goulart, M Novello, F T Falciano and J D Toniato

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