Disformal invariance of continuous media with linear equation of state. (English) Zbl 1515.83212
Summary: We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form \(p = w\rho\) is invariant under a 1-parameter family of continuous disformal transformations. In the special case of \(w=1/3\) (ultrarelativistic gas), such a family reduces to conformal transformations. As examples, perfect fluids, irrotational dust (mimetic matter) and homogeneous and isotropic solids are discussed.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
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