Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom

In ‘modified’ gravity the observed acceleration of the universe is explained by changing the gravitational force law or the number of degrees of freedom in the gravitational sector. Both possibilities can be tested by measurements of cosmological structure formation. In this paper we elaborate the d...

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Main Authors: Burrage, Clare, Parkinson, David, Seery, David
Format: Article
Published: American Physical Society 2017
Online Access:https://eprints.nottingham.ac.uk/47331/
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author Burrage, Clare
Parkinson, David
Seery, David
author_facet Burrage, Clare
Parkinson, David
Seery, David
author_sort Burrage, Clare
building Nottingham Research Data Repository
collection Online Access
description In ‘modified’ gravity the observed acceleration of the universe is explained by changing the gravitational force law or the number of degrees of freedom in the gravitational sector. Both possibilities can be tested by measurements of cosmological structure formation. In this paper we elaborate the details of such tests using the Galileon model as a case study. We pay attention to the possibility that each new degree of freedom may have stochastically independent initial conditions, generating different types of potential well in the early universe and breaking complete correlation between density and velocity power spectra. This ‘stochastic bias’ can confuse schemes to parametrize the predictions of modified gravity models, such as the use of the growth parameter f alone. Using data from the WiggleZ Dark Energy Survey we show that it will be possible to obtain constraints using information about the cosmological-scale force law embedded in the multipole power spectra of redshift-space distortions. As an example, we obtain an upper limit on the strength of the conformal coupling to matter in the cubic Galileon model, giving |1/M|≲200/MP. This allows the fifth-force to be stronger than gravity, but is consistent with zero coupling.
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spelling nottingham-473312020-05-04T19:00:53Z https://eprints.nottingham.ac.uk/47331/ Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom Burrage, Clare Parkinson, David Seery, David In ‘modified’ gravity the observed acceleration of the universe is explained by changing the gravitational force law or the number of degrees of freedom in the gravitational sector. Both possibilities can be tested by measurements of cosmological structure formation. In this paper we elaborate the details of such tests using the Galileon model as a case study. We pay attention to the possibility that each new degree of freedom may have stochastically independent initial conditions, generating different types of potential well in the early universe and breaking complete correlation between density and velocity power spectra. This ‘stochastic bias’ can confuse schemes to parametrize the predictions of modified gravity models, such as the use of the growth parameter f alone. Using data from the WiggleZ Dark Energy Survey we show that it will be possible to obtain constraints using information about the cosmological-scale force law embedded in the multipole power spectra of redshift-space distortions. As an example, we obtain an upper limit on the strength of the conformal coupling to matter in the cubic Galileon model, giving |1/M|≲200/MP. This allows the fifth-force to be stronger than gravity, but is consistent with zero coupling. American Physical Society 2017-08-15 Article PeerReviewed Burrage, Clare, Parkinson, David and Seery, David (2017) Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom. Physical Review D, 96 (4). 043509/1-043509/19. ISSN 2470-0029 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.043509 doi:10.1103/PhysRevD.96.043509 doi:10.1103/PhysRevD.96.043509
spellingShingle Burrage, Clare
Parkinson, David
Seery, David
Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
title Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
title_full Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
title_fullStr Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
title_full_unstemmed Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
title_short Beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
title_sort beyond the growth rate of cosmic structure: testing modified gravity models with an extra degree of freedom
url https://eprints.nottingham.ac.uk/47331/
https://eprints.nottingham.ac.uk/47331/
https://eprints.nottingham.ac.uk/47331/