Relativistic scalar fields and the quasi-static approximation in theories of modified gravity

<p>Relativistic scalar fields are ubiquitous in modified theories of gravity. An important tool in understanding their on structure formation, especially in the context of N-body simulations, is the quasistatic approximation in which the time evolution of perturbations in the scalar fields is...

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Main Authors: Noller, J, von Braun-Bates, F, Ferreira, P
Format: Journal article
Published: American Physical Society 2014
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author Noller, J
von Braun-Bates, F
Ferreira, P
author_facet Noller, J
von Braun-Bates, F
Ferreira, P
author_sort Noller, J
collection OXFORD
description <p>Relativistic scalar fields are ubiquitous in modified theories of gravity. An important tool in understanding their on structure formation, especially in the context of N-body simulations, is the quasistatic approximation in which the time evolution of perturbations in the scalar fields is discarded. We show that this approximation must be used with some care by studying linearly perturbed scalar field cosmologies and quantifying the errors that arise from taking the quasistatic limit. We focus on <em>f</em>(<em>R</em>) and chameleon models and link the accuracy of the quasistatic approximation to the fast/slow-roll behavior of the background and its proximity to ΛCDM. Investigating a large range of scales, from super- to subhorizon, we find that slow-rolling (ΛCDM-like) backgrounds generically result in good quasistatic behavior, even on (super-)horizon scales. We also discuss how the approximation might affect studying the nonlinear growth of structure in numerical N-body simulations.</p>
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spelling oxford-uuid:e564d8bf-1b32-403d-bd91-00c31a7abb172022-03-27T10:23:36ZRelativistic scalar fields and the quasi-static approximation in theories of modified gravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e564d8bf-1b32-403d-bd91-00c31a7abb17Symplectic Elements at OxfordAmerican Physical Society2014Noller, Jvon Braun-Bates, FFerreira, P<p>Relativistic scalar fields are ubiquitous in modified theories of gravity. An important tool in understanding their on structure formation, especially in the context of N-body simulations, is the quasistatic approximation in which the time evolution of perturbations in the scalar fields is discarded. We show that this approximation must be used with some care by studying linearly perturbed scalar field cosmologies and quantifying the errors that arise from taking the quasistatic limit. We focus on <em>f</em>(<em>R</em>) and chameleon models and link the accuracy of the quasistatic approximation to the fast/slow-roll behavior of the background and its proximity to ΛCDM. Investigating a large range of scales, from super- to subhorizon, we find that slow-rolling (ΛCDM-like) backgrounds generically result in good quasistatic behavior, even on (super-)horizon scales. We also discuss how the approximation might affect studying the nonlinear growth of structure in numerical N-body simulations.</p>
spellingShingle Noller, J
von Braun-Bates, F
Ferreira, P
Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
title Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
title_full Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
title_fullStr Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
title_full_unstemmed Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
title_short Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
title_sort relativistic scalar fields and the quasi static approximation in theories of modified gravity
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