2019
DOI: 10.1088/1475-7516/2019/11/016
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Probing homogeneity with standard candles

Abstract: We show that standard candles can provide some valuable information about the density contrast, which could be particularly important at redshifts where other observations are not available. We use an inversion method to reconstruct the local radial density profile from luminosity distance observations assuming background cosmological parameters obtained from large scale observations. Using type Ia Supernovae, Cepheids and the cosmological parameters from the Planck mission we reconstruct the radial density pr… Show more

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Cited by 8 publications
(5 citation statements)
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“…However, the results of Gaussian processes depend on the choice of covariance function [86,95] (see the discussion in appendix B). Other possibilities include non-parametric smoothing [36,40,42,96], principal component analysis and genetic algorithms [38] as well as radial basis functions [97]. Numerical derivatives and binning have also been considered [37,38], but being able to take analytical derivatives significantly improves precision (although possibly at the cost of accuracy).…”
Section: Validation Of Numerical Methodsmentioning
confidence: 99%
“…However, the results of Gaussian processes depend on the choice of covariance function [86,95] (see the discussion in appendix B). Other possibilities include non-parametric smoothing [36,40,42,96], principal component analysis and genetic algorithms [38] as well as radial basis functions [97]. Numerical derivatives and binning have also been considered [37,38], but being able to take analytical derivatives significantly improves precision (although possibly at the cost of accuracy).…”
Section: Validation Of Numerical Methodsmentioning
confidence: 99%
“…For this case we based our calibration on ref. [85] by extrapolating the expression M 1 = M 2 + 5 log 10(H 1 /H 2 ), where the indices 1 and 2 denote our different values for H 0 . Finally, our result is µ(z) = m − M .…”
Section: Jcap10(2021)016mentioning
confidence: 99%
“…For this case we based our calibration on Ref. [60] by extrapolating the expression M 1 = M 2 + 5 log 10(H 1 /H 2 ), where the indices 1 and 2 denote our different values for H 0 . Finally, our result is µ(z) = m − M .…”
Section: Pantheon Data Setmentioning
confidence: 99%