Probing the curvature of the Universe from supernova measurement

TL;DR

This paper explores how supernova measurements of cubic corrections to luminosity distance can reveal the Universe's spatial geometry, suggesting a closed universe in a specific accelerating model with extra dimensions.

Contribution

It introduces a method to probe the Universe's curvature using supernova data focusing on cubic luminosity distance corrections, applied to a model with extra dimensions.

Findings

Supernova data indicates a closed universe at 1σ level.

The cubic correction to luminosity distance is a viable probe of spatial geometry.

Application to an extra-dimensional model supports the method's potential.

Abstract

We study the possibility to probe the spatial geometry of the Universe by supernova measurement of the cubic correction to the luminosity distance. We illustrate with an accelerating universe model with infinite-volume extra dimensions, for which the 1$\sigma$ level supernova results indicate that the Universe is closed.