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Average and dispersion of the luminosity-redshift relation in the concordance model

Starting from the luminosity-redshift relation recently given up to second order in the Poisson gauge, we calculate the effects of the realistic stochastic background of perturbations of the so-called concordance model on the combined light-cone and ensemble average of various functions of the lumin...

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Autores principales: Ben-Dayan, I., Gasperini, M., Marozzi, G., Nugier, F., Veneziano, G.
Lenguaje:eng
Publicado: 2013
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2013/06/002
http://cds.cern.ch/record/1513376
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author Ben-Dayan, I.
Gasperini, M.
Marozzi, G.
Nugier, F.
Veneziano, G.
author_facet Ben-Dayan, I.
Gasperini, M.
Marozzi, G.
Nugier, F.
Veneziano, G.
author_sort Ben-Dayan, I.
collection CERN
description Starting from the luminosity-redshift relation recently given up to second order in the Poisson gauge, we calculate the effects of the realistic stochastic background of perturbations of the so-called concordance model on the combined light-cone and ensemble average of various functions of the luminosity distance, and on their variance, as functions of redshift. We apply a gauge-invariant light-cone averaging prescription which is free from infrared and ultraviolet divergences, making our results robust with respect to changes of the corresponding cutoffs. Our main conclusions, in part already anticipated in a recent letter for the case of a perturbation spectrum computed in the linear regime, are that such inhomogeneities not only cannot avoid the need for dark energy, but also cannot prevent, in principle, the determination of its parameters down to an accuracy of order $10^{-3}-10^{-5}$, depending on the averaged observable and on the regime considered for the power spectrum. However, taking into account the appropriate corrections arising in the non-linear regime, we predict an irreducible scatter of the data approaching the 10% level which, for limited statistics, will necessarily limit the attainable precision. The predicted dispersion appears to be in good agreement with current observational estimates of the distance-modulus variance due to Doppler and lensing effects (at low and high redshifts, respectively), and represents a challenge for future precision measurements.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2013
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spelling cern-15133762021-07-24T02:25:42Zdoi:10.1088/1475-7516/2013/06/002http://cds.cern.ch/record/1513376engBen-Dayan, I.Gasperini, M.Marozzi, G.Nugier, F.Veneziano, G.Average and dispersion of the luminosity-redshift relation in the concordance modelAstrophysics and AstronomyStarting from the luminosity-redshift relation recently given up to second order in the Poisson gauge, we calculate the effects of the realistic stochastic background of perturbations of the so-called concordance model on the combined light-cone and ensemble average of various functions of the luminosity distance, and on their variance, as functions of redshift. We apply a gauge-invariant light-cone averaging prescription which is free from infrared and ultraviolet divergences, making our results robust with respect to changes of the corresponding cutoffs. Our main conclusions, in part already anticipated in a recent letter for the case of a perturbation spectrum computed in the linear regime, are that such inhomogeneities not only cannot avoid the need for dark energy, but also cannot prevent, in principle, the determination of its parameters down to an accuracy of order $10^{-3}-10^{-5}$, depending on the averaged observable and on the regime considered for the power spectrum. However, taking into account the appropriate corrections arising in the non-linear regime, we predict an irreducible scatter of the data approaching the 10% level which, for limited statistics, will necessarily limit the attainable precision. The predicted dispersion appears to be in good agreement with current observational estimates of the distance-modulus variance due to Doppler and lensing effects (at low and high redshifts, respectively), and represents a challenge for future precision measurements.Starting from the luminosity-redshift relation recently given up to second order in the Poisson gauge, we calculate the effects of the realistic stochastic background of perturbations of the so-called concordance model on the combined light-cone and ensemble average of various functions of the luminosity distance, and on their variance, as functions of redshift. We apply a gauge-invariant light-cone averaging prescription which is free from infrared and ultraviolet divergences, making our results robust with respect to changes of the corresponding cutoffs. Our main conclusions, in part already anticipated in a recent letter for the case of a perturbation spectrum computed in the linear regime, are that such inhomogeneities not only cannot avoid the need for dark energy, but also cannot prevent, in principle, the determination of its parameters down to an accuracy of order 10−3−10−5, depending on the averaged observable and on the regime considered for the power spectrum. However, taking into account the appropriate corrections arising in the non-linear regime, we predict an irreducible scatter of the data approaching the 10% level which, for limited statistics, will necessarily limit the attainable precision. The predicted dispersion appears to be in good agreement with current observational estimates of the distance-modulus variance due to Doppler and lensing effects (at low and high redshifts, respectively), and represents a challenge for future precision measurements.Starting from the luminosity-redshift relation recently given up to second order in the Poisson gauge, we calculate the effects of the realistic stochastic background of perturbations of the so-called concordance model on the combined light-cone and ensemble average of various functions of the luminosity distance, and on their variance, as functions of redshift. We apply a gauge-invariant light-cone averaging prescription which is free from infrared and ultraviolet divergences, making our results robust with respect to changes of the corresponding cutoffs. Our main conclusions, in part already anticipated in a recent letter for the case of a perturbation spectrum computed in the linear regime, are that such inhomogeneities not only cannot avoid the need for dark energy, but also cannot prevent, in principle, the determination of its parameters down to an accuracy of order $10^{-3}-10^{-5}$, depending on the averaged observable and on the regime considered for the power spectrum. However, taking into account the appropriate corrections arising in the non-linear regime, we predict an irreducible scatter of the data approaching the 10% level which, for limited statistics, will necessarily limit the attainable precision. The predicted dispersion appears to be in good agreement with current observational estimates of the distance-modulus variance due to Doppler and lensing effects (at low and high redshifts, respectively), and represents a challenge for future precision measurements.arXiv:1302.0740DESY-13-011CERN-PH-TH-2012-362BA-TH-666-12LPTENS-13-01CERN-PH-TH-2012-362oai:cds.cern.ch:15133762013-02-05
spellingShingle Astrophysics and Astronomy
Ben-Dayan, I.
Gasperini, M.
Marozzi, G.
Nugier, F.
Veneziano, G.
Average and dispersion of the luminosity-redshift relation in the concordance model
title Average and dispersion of the luminosity-redshift relation in the concordance model
title_full Average and dispersion of the luminosity-redshift relation in the concordance model
title_fullStr Average and dispersion of the luminosity-redshift relation in the concordance model
title_full_unstemmed Average and dispersion of the luminosity-redshift relation in the concordance model
title_short Average and dispersion of the luminosity-redshift relation in the concordance model
title_sort average and dispersion of the luminosity-redshift relation in the concordance model
topic Astrophysics and Astronomy
url https://dx.doi.org/10.1088/1475-7516/2013/06/002
http://cds.cern.ch/record/1513376
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