Neural network reconstructions for the Hubble parameter, growth rate and distance modulus [PDF]
European Physical Journal C: Particles and Fields, 2023 This paper introduces a new approach to reconstruct cosmological functions using artificial neural networks based on observational measurements with minimal theoretical and statistical assumptions.
Isidro Gómez-Vargas +3 more
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A modulus for curves from distance [PDF]
Annales Academiae Scientiarum Fennicae Mathematica, 2010 In this paper a modulus of curves is defined using pseudo-distance functions. This leads to a notion of quasiconformal maps that is equivalent to the standard definition when the distance function is Riemannian. The moduli of families of curves whose endpoints lie in the boundary of open subsets of a compact, convex set are determined.
Neil N. Katz
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Constraining The Hubble Parameter Using Distance Modulus - Redshift Relation [PDF]
, 2015 Using the relation between distance modulus $(m - M)$ and redshift $z$, deduced from Friedman- Robertson-Walker (FRW) metric and assuming different values of deceleration parameter $q_0$. We constrained the Hubble parameter $h$. The estimates of the Hubble parameters we obtained using the median values of the data obtained from NASA Extragalactic ...
C. C. Onuchukwu, A. C. Ezeribe
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Machine-learning computation of distance modulus for local galaxies [PDF]
Astronomy & Astrophysics, 2020 Context.Quickly growing computing facilities and an increasing number of extragalactic observations encourage the application of data-driven approaches to uncover hidden relations from astronomical data. In this work we raise the problem of distance reconstruction for a large number of galaxies from available extensive observations.Aims.We propose a ...
A. Elyiv +4 more
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Some effects of galaxy structure and dynamics on the Fundamental Plane -- II. A Virgo-Fornax distance modulus [PDF]
Monthly Notices of the Royal Astronomical Society, 1998 The influence of broken structural homology, and the implied broken dynamical homology, is examined for the Fundamental Plane (FP). Requiring a symmetrical treatment of the FP variables, a bisector method of linear regression was applied, in 3-dimensions, to derive the best FP.
Alister W. Graham
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A New Red Giant–based Distance Modulus of 13.3 Mpc to the Antennae Galaxies and Its Consequences1 [PDF]
The Astrophysical Journal, 2008 11 pages, 3 figures, accepted for publication in the ...
I. Saviane +4 more
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A New Analytical Solution for the Distance Modulus in Flat Cosmology [PDF]
International Journal of Astronomy and Astrophysics, 2019 A new analytical solution for the luminosity distance in flat $ $CDM cosmology is derived in terms of elliptical integrals of first kind with real argument. The consequent derivation of the distance modulus allows evaluating the Hubble constant, $H_0=69.77\pm 0.33$, $\om= 0.295\pm0.008$ and the cosmological constant, $ = (1.194 \pm 0.017)10^{-52 ...
Lorenzo Zaninetti
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Supernovae Light Curves: An Argument for a New Distance Modulus
, 2004 Supernovae Ia (SNe Ia) light curves have been used to prove the universe is expanding. As standard candles, SNe Ia appear to indicate the rate of expansion has increased in the past and is now decreasing. This independent evaluation of SNe Ia light curves demonstrates a Malmquist Type II bias exists in the body of supernova data.
Jerry W. Jensen
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The Distance Modulus in Dark Energy and Cardassian Cosmologies via the Hypergeometric Function [PDF]
International Journal of Astronomy and Astrophysics, 2019 18 pages and 5 ...
Lorenzo Zaninetti
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The Notions of Distance and Velocity Modulus in the Some Linear Finsler Spaces
, 2005 12 pages, 4 ...
G. I. Garas'ko, D. G. Pavlov
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