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Most of current cosmological theories are built combining an isotropic andhomogeneous manifold with a scale factor that depends on time. If one supposesa hyperconical universe with linear expansion, an inhomogeneous metric can beobtained by an appropriate transformation that preserves the proper time. Thismodel locally tends to a flat Friedman-Robertson-Walker metric with linearexpansion. The objective of this work is to analyse the observationalcompatibility of the inhomogeneous metric considered. For this purpose, thecorresponding luminosity distance was obtained and was compared with theobservations 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 valuethat the standard \LambdaCDM model. Finally, a possible relationship is foundbetween both theories.

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