We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form p=wρp=wρ is invariant under a 1-parameter family of continuous disformal transformations. In the special case of w=1/3w=1/3 (ultrarelativistic gas), such a family reduces to conformal transformations. As examples, perfect fluids, homogeneous and isotropic solids are discussed.
Disformal invariance of continuous media with linear equation of state
PILO, LUIGI
2017-01-01
Abstract
We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form p=wρp=wρ is invariant under a 1-parameter family of continuous disformal transformations. In the special case of w=1/3w=1/3 (ultrarelativistic gas), such a family reduces to conformal transformations. As examples, perfect fluids, homogeneous and isotropic solids are discussed.File in questo prodotto:
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