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|Title:||Multi-disformal invariance of non-linear primordial perturbations|
|Author's alias:||佐々木, 節|
|Abstract:||We study disformal transformations of the metric in the cosmological context. We first consider the disformal transformation generated by a scalar field phgr and show that the curvature and tensor perturbations on the uniform phgr slicing, on which the scalar field is homogeneous, are non-linearly invariant under the disformal transformation. Then we discuss the transformation properties of the evolution equations for the curvature and tensor perturbations at full non-linear order in the context of spatial gradient expansion as well as at linear order. In particular, we show that the transformation can be described in two different ways: one that clearly shows the physical invariance and the other that shows an apparent change of the causal structure. Finally we consider a new type of disformal transformation in which a multi-component scalar field comes into play, which we call a "multi-disformal transformation". We show that the curvature and tensor perturbations are invariant at linear order, and also at non-linear order, provided that the system has reached the adiabatic limit.|
|Rights:||This is an author-created, un-copyedited version of an article accepted for publication in 'EPL'. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1209/0295-5075/111/39002.|
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|Appears in Collections:||Journal Articles|
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