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

Abstract

We show that non-linear dynamics of a scalar field ϕ may be described as a mod- ification 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 arbi- trary Lagrangian. Our results are compared to usual analogue models of gravitation, where the emergence of a metric appears as a consequence of linear perturbation.

References in corpus (1)

• Scalar Quantum Field Theory in Disordered Media

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