Covariant approach to parametrized cosmological perturbations

We present a covariant formulation for constructing general quadratic actions for cosmological perturbations, invariant under a given set of gauge symmetries for a given field content. This approach allows us to analyse scalar, vector and tensor perturbations at the same time in a straightforward ma...

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Main Authors: Tattersall, O, Lagos, M, Ferreira, P
格式: Journal article
出版: American Physical Society 2017
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author Tattersall, O
Lagos, M
Ferreira, P
author_facet Tattersall, O
Lagos, M
Ferreira, P
author_sort Tattersall, O
collection OXFORD
description We present a covariant formulation for constructing general quadratic actions for cosmological perturbations, invariant under a given set of gauge symmetries for a given field content. This approach allows us to analyse scalar, vector and tensor perturbations at the same time in a straightforward manner. We apply the procedure to diffeomorphism invariant single-tensor, scalar-tensor and vector-tensor theories and show explicitly the full covariant form of the quadratic actions in such cases, in addition to the actions determining the evolution of vector and tensor perturbations. We also discuss the role of the symmetry of the background in identifying the set of cosmologically relevant free parameters describing these classes of theories, including calculating the relevant free parameters for an axisymmetric Bianchi-I vacuum universe.
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institution University of Oxford
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spelling oxford-uuid:dd1b9972-d3d4-4401-9dbb-bc4f3b6f247d2022-03-27T09:23:11ZCovariant approach to parametrized cosmological perturbationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dd1b9972-d3d4-4401-9dbb-bc4f3b6f247dSymplectic Elements at OxfordAmerican Physical Society2017Tattersall, OLagos, MFerreira, PWe present a covariant formulation for constructing general quadratic actions for cosmological perturbations, invariant under a given set of gauge symmetries for a given field content. This approach allows us to analyse scalar, vector and tensor perturbations at the same time in a straightforward manner. We apply the procedure to diffeomorphism invariant single-tensor, scalar-tensor and vector-tensor theories and show explicitly the full covariant form of the quadratic actions in such cases, in addition to the actions determining the evolution of vector and tensor perturbations. We also discuss the role of the symmetry of the background in identifying the set of cosmologically relevant free parameters describing these classes of theories, including calculating the relevant free parameters for an axisymmetric Bianchi-I vacuum universe.
spellingShingle Tattersall, O
Lagos, M
Ferreira, P
Covariant approach to parametrized cosmological perturbations
title Covariant approach to parametrized cosmological perturbations
title_full Covariant approach to parametrized cosmological perturbations
title_fullStr Covariant approach to parametrized cosmological perturbations
title_full_unstemmed Covariant approach to parametrized cosmological perturbations
title_short Covariant approach to parametrized cosmological perturbations
title_sort covariant approach to parametrized cosmological perturbations
work_keys_str_mv AT tattersallo covariantapproachtoparametrizedcosmologicalperturbations
AT lagosm covariantapproachtoparametrizedcosmologicalperturbations
AT ferreirap covariantapproachtoparametrizedcosmologicalperturbations