[1008.3392] How to Falsify the GR+LambdaCDM Model with Galaxy Redshift Surveys

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Similarly, no fundamental theory exists for dark energy to parameterize its potential deviation from a cosmological constant. This motivates a model-independent search for deviations from the concordance GR+LambdaCDM cosmological model in large galaxy redshift surveys. We describe two model-independent tests of the growth of cosmological structure, in the form of quantities that must equal one if GR+LambdaCDM is correct. The first, epsilon, was introduced previously as a scale-independent consistency check between the expansion history and structure growth. The second, upsilon, is introduced here as a test of scale-dependence in the linear evolution of matter density perturbations. We show that the ongoing and near-future galaxy redshift surveys WiggleZ, BOSS, and HETDEX will constrain these quantities at the 5-10% level, representing a stringent test of concordance cosmology at different redshifts. When redshift space distortions are used to probe the growth of cosmological structure, galaxies at higher redshift with lower bias are found to be most powerful in detecting deviations from the GR+LambdaCDM model."/> <meta name="twitter:site" content="@arxiv"/> <meta name="twitter:card" content="summary"/> <meta name="twitter:title" content="How to Falsify the GR+LambdaCDM Model with Galaxy Redshift Surveys"/> <meta name="twitter:description" content="A wide range of models describing modifications to General Relativity have been proposed, but no fundamental parameter set exists to describe them. Similarly, no fundamental theory exists for dark..."/> <meta name="twitter:image" content="https://static.arxiv.org/icons/twitter/arxiv-logo-twitter-square.png"/> <meta name="twitter:image:alt" content="arXiv logo"/> <link rel="stylesheet" media="screen" type="text/css" href="/static/browse/0.3.4/css/tooltip.css"/><link rel="stylesheet" media="screen" type="text/css" href="https://static.arxiv.org/js/bibex-dev/bibex.css?20200709"/> <script src="/static/browse/0.3.4/js/mathjaxToggle.min.js" type="text/javascript"></script> <script src="//code.jquery.com/jquery-latest.min.js" type="text/javascript"></script> <script src="//cdn.jsdelivr.net/npm/js-cookie@2/src/js.cookie.min.js" type="text/javascript"></script> <script src="//cdn.jsdelivr.net/npm/dompurify@2.3.5/dist/purify.min.js"></script> <script src="/static/browse/0.3.4/js/toggle-labs.js?20241022" type="text/javascript"></script> <script src="/static/browse/0.3.4/js/cite.js" type="text/javascript"></script><meta name="citation_title" content="How to Falsify the GR+LambdaCDM Model with Galaxy Redshift Surveys" /><meta name="citation_author" content="Acquaviva, Viviana" /><meta name="citation_author" content="Gawiser, Eric" /><meta name="citation_doi" content="10.1103/PhysRevD.82.082001" /><meta name="citation_date" content="2010/08/19" /><meta name="citation_online_date" content="2010/10/13" /><meta name="citation_pdf_url" content="http://arxiv.org/pdf/1008.3392" /><meta name="citation_arxiv_id" content="1008.3392" /><meta name="citation_abstract" content="A wide range of models describing modifications to General Relativity have been proposed, but no fundamental parameter set exists to describe them. Similarly, no fundamental theory exists for dark energy to parameterize its potential deviation from a cosmological constant. This motivates a model-independent search for deviations from the concordance GR+LambdaCDM cosmological model in large galaxy redshift surveys. We describe two model-independent tests of the growth of cosmological structure, in the form of quantities that must equal one if GR+LambdaCDM is correct. The first, epsilon, was introduced previously as a scale-independent consistency check between the expansion history and structure growth. The second, upsilon, is introduced here as a test of scale-dependence in the linear evolution of matter density perturbations. We show that the ongoing and near-future galaxy redshift surveys WiggleZ, BOSS, and HETDEX will constrain these quantities at the 5-10% level, representing a stringent test of concordance cosmology at different redshifts. When redshift space distortions are used to probe the growth of cosmological structure, galaxies at higher redshift with lower bias are found to be most powerful in detecting deviations from the GR+LambdaCDM model." /> </head> <body class="with-cu-identity"> <aside class="slider-wrapper bps-banner special-color"> <div class="columns"> <div class="copy-donation bps-banner"> <h2>Change to arXiv's privacy policy</h2> <p>The <a target="_blank" href="https://info.arxiv.org/help/policies/privacy_policy.html">arXiv Privacy Policy</a> has changed. 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Model with Galaxy Redshift Surveys</h1> <div class="authors"><span class="descriptor">Authors:</span><a href="https://arxiv.org/search/astro-ph?searchtype=author&query=Acquaviva,+V" rel="nofollow">Viviana Acquaviva</a>, <a href="https://arxiv.org/search/astro-ph?searchtype=author&query=Gawiser,+E" rel="nofollow">Eric Gawiser</a></div> <div id="download-button-info" hidden>View a PDF of the paper titled How to Falsify the GR+LambdaCDM Model with Galaxy Redshift Surveys, by Viviana Acquaviva and 1 other authors</div> <a class="mobile-submission-download" href="/pdf/1008.3392">View PDF</a> <blockquote class="abstract mathjax"> <span class="descriptor">Abstract:</span>A wide range of models describing modifications to General Relativity have been proposed, but no fundamental parameter set exists to describe them. Similarly, no fundamental theory exists for dark energy to parameterize its potential deviation from a cosmological constant. This motivates a model-independent search for deviations from the concordance GR+LambdaCDM cosmological model in large galaxy redshift surveys. We describe two model-independent tests of the growth of cosmological structure, in the form of quantities that must equal one if GR+LambdaCDM is correct. The first, epsilon, was introduced previously as a scale-independent consistency check between the expansion history and structure growth. The second, upsilon, is introduced here as a test of scale-dependence in the linear evolution of matter density perturbations. We show that the ongoing and near-future galaxy redshift surveys WiggleZ, BOSS, and HETDEX will constrain these quantities at the 5-10% level, representing a stringent test of concordance cosmology at different redshifts. When redshift space distortions are used to probe the growth of cosmological structure, galaxies at higher redshift with lower bias are found to be most powerful in detecting deviations from the GR+LambdaCDM model. </blockquote>  <div class="metatable"> <table summary="Additional metadata"> <tr> <td class="tablecell label">Comments:</td> <td class="tablecell comments mathjax">6 pages, 1 figure. Expanded discussion, matching version accepted for publication in Phys. Rev. D</td> </tr> <tr> <td class="tablecell label">Subjects:</td> <td class="tablecell subjects"> <span class="primary-subject">Cosmology and Nongalactic Astrophysics (astro-ph.CO)</span>; General Relativity and Quantum Cosmology (gr-qc)</td> </tr><tr> <td class="tablecell label">Cite as:</td> <td class="tablecell arxivid"><span class="arxivid"><a href="https://arxiv.org/abs/1008.3392">arXiv:1008.3392</a> [astro-ph.CO]</span></td> </tr> <tr> <td class="tablecell label"> </td> <td class="tablecell arxividv">(or <span class="arxivid"> <a href="https://arxiv.org/abs/1008.3392v2">arXiv:1008.3392v2</a> [astro-ph.CO]</span> for this version) </td> </tr> <tr> <td class="tablecell label"> </td> <td class="tablecell arxivdoi"> <a href="https://doi.org/10.48550/arXiv.1008.3392" id="arxiv-doi-link">https://doi.org/10.48550/arXiv.1008.3392</a><div class="button-and-tooltip"> <button class="more-info" aria-describedby="more-info-desc-1"> <svg height="15" role="presentation" 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href="https://doi.org/10.1103/PhysRevD.82.082001" data-doi="10.1103/PhysRevD.82.082001" class="link-https link-external" rel="external noopener nofollow">https://doi.org/10.1103/PhysRevD.82.082001</a>  <div class="button-and-tooltip"> <button class="more-info" aria-describedby="more-info-desc-1"> <svg height="15" role="presentation" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M256 8C119.043 8 8 119.083 8 256c0 136.997 111.043 248 248 248s248-111.003 248-248C504 119.083 392.957 8 256 8zm0 110c23.196 0 42 18.804 42 42s-18.804 42-42 42-42-18.804-42-42 18.804-42 42-42zm56 254c0 6.627-5.373 12-12 12h-88c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h12v-64h-12c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h64c6.627 0 12 5.373 12 12v100h12c6.627 0 12 5.373 12 12v24z" class=""></path></svg> <span class="visually-hidden">Focus to learn more</span> </button>  <div role="tooltip" id="more-info-desc-1"> <span class="left-corner"></span> DOI(s) 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[1008.3392] How to Falsify the GR+LambdaCDM Model with Galaxy Redshift Surveys