Study of the observational compatibility of an inhomogeneous cosmology with linear expansion according to SNe Ia

TL;DR

This paper investigates whether an inhomogeneous hyperconical universe model with linear expansion aligns with supernova observations, comparing its luminosity distance predictions to those of the standard b3CDM model.

Contribution

It introduces an inhomogeneous hyperconical cosmological model with linear expansion and assesses its observational compatibility with supernova data.

Findings

Hyperconical model fits supernova data as well as b3CDM.

Best fit b3^2 = 562 matches standard model.

Potential theoretical relationship between models suggested.

Abstract

Most of current cosmological theories are built combining an isotropic and homogeneous manifold with a scale factor that depends on time. If one supposes a hyperconical universe with linear expansion, an inhomogeneous metric can be obtained by an appropriate transformation that preserves the proper time. This model locally tends to a flat Friedman-Robertson-Walker metric with linear expansion. The objective of this work is to analyse the observational compatibility of the inhomogeneous metric considered. For this purpose, the corresponding luminosity distance was obtained and was compared with the observations of 580 SNe Ia, taken from the Supernova Cosmology Project (SCP). The best fit of the hyperconical model obtains \chi_0^2 = 562, the same value that the standard \LambdaCDM model. Finally, a possible relationship is found between both theories.