Hidden geometries in nonlinear theories: A Novel aspect of analogue gravity
Aug, 2011
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Abstract: (arXiv)
We show that non-linear dynamics of a scalar field {\phi} 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 {\phi} 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.- 04.20.Gz
- 02.40.Ky
- 04.20.Cv
- field theory: scalar
- gravitation: model
- space-time: geometry
- coupling: scalar
- field theory: nonlinear
- hydrodynamics
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