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arXiv · 1108.6067

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

E. Goulart·M. Novello·F. T. Falciano·J. D. Toniato
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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.

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E. Goulart, M. Novello, F. T. Falciano, J. D. Toniato. 2011-08-30. Hidden geometries in nonlinear theories: a novel aspect of analogue gravity. https://doi.org/10.1088/0264-9381%2F28%2F24%2F245008

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