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Mimetic gravity as DHOST theories

Abstract : We show that theories of mimetic gravity can be viewed as degenerate higher-order scalar-tensor (DHOST) theories that admit an extra local (gauge) symmetry in addition to the usual diffeomorphism invariance. We reformulate and classify mimetic theories in this perspective. Using the effective theory of dark energy, recently extended to include DHOST theories, we then investigate the linear perturbations about a homogeneous and isotropic background for all mimetic theories. We also include matter, in the form of a k-essence scalar field, and we derive the quadratic action for linear perturbations in this case.
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https://hal.archives-ouvertes.fr/hal-01719629
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Submitted on : Wednesday, February 28, 2018 - 12:11:50 PM
Last modification on : Wednesday, January 26, 2022 - 3:35:52 AM

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David Langlois, Michele Mancarella, Karim Noui, Filippo Vernizzi. Mimetic gravity as DHOST theories. JCAP, 2019, 02, pp.036. ⟨10.1088/1475-7516/2019/02/036⟩. ⟨hal-01719629⟩

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