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arXiv · 2003.06139

Empirical measurement of cosmic luminosity-angular distance relation

Juan De Vicente
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Abstract

One of the keys to understanding the universe is the proper measurement of the relation between the luminosity distance $d_L$ and the angular diameter distance $d_A$. In 1933 Etherington deduced from general relativity the reciprocity equation $d_L=d_A(1+z)^{\gamma}$, with $\gamma=1$ for a local (non-expanding) universe. This relation has been adapted to an expanding universe with the value $\gamma=2$ by the introduction of the concept of comoving distance ($d_M$). In this work, we developed the method \textit{Cosmic Redshift Inference} to measure experimentally the value of $\gamma$ defined above independently of any possible galaxy evolution. The method has been applied to 1.2 million galaxy of SDSS DR15 obtaining the value $\gamma\simeq 1$.

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Juan De Vicente. 2020-03-13. Empirical measurement of cosmic luminosity-angular distance relation. https://arxiv.org/abs/2003.06139

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