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Title: Cosmological disformal invariance
Authors: Domènech, Guillem
Naruko, Atsushi
Sasaki, Misao  kyouindb  KAKEN_id
Author's alias: 佐々木, 節
Keywords: inflation
cosmology of theories beyond the SM
cosmological perturbation theory
Issue Date: 1-Oct-2015
Publisher: IOP Publishing
Journal title: Journal of Cosmology and Astroparticle Physics
Volume: 2015
Issue: 10
Start page: 067
End page: 067
Abstract: The invariance of physical observables under disformal transformations is considered. It is known that conformal transformations leave physical observables invariant. However, whether it is true for disformal transformations is still an open question. In this paper, it is shown that a pure disformal transformation without any conformal factor is equivalent to rescaling the time coordinate. Since this rescaling applies equally to all the physical quantities, physics must be invariant under a disformal transformation, that is, neither causal structure, propagation speed nor any other property of the fields are affected by a disformal transformation itself. This fact is presented at the action level for gravitational and matter fields and it is illustrated with some examples of observable quantities. We also find the physical invariance for cosmological perturbations at linear and high orders in perturbation, extending previous studies. Finally, a comparison with Horndeski and beyond Horndeski theories under a disformal transformation is made.
Rights: This is an author-created, un-copyedited version of an article accepted for publication in 'Journal of Cosmology and Astroparticle Physics'. 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
The full-text file will be made open to the public on 1 October 2016 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1088/1475-7516/2015/10/067
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