Disformal invariance of continuous media with linear equation of state
M. Celoria, S. Matarrese, L. Pilo
TL;DR
This paper demonstrates that the effective theory for continuous media with a linear equation of state remains invariant under a family of disformal transformations, generalizing conformal invariance in special cases like ultrarelativistic gases.
Contribution
It introduces a new invariance property of the effective theory of continuous media under disformal transformations, extending known conformal invariance.
Findings
Invariance under disformal transformations for media with linear equation of state
Special case of conformal invariance when w=1/3
Application to perfect fluids and isotropic solids
Abstract
We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form is invariant under a 1-parameter family of continuous disformal transformations. In the special case of (ultrarelativistic gas), such a family reduces to conformal transformations. As examples, perfect fluids, homogeneous and isotropic solids are discussed.
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