Multidimensional gravitational model with anisotropic pressure

TL;DR

This paper explores a multidimensional gravitational model with anisotropic pressure, showing it can produce late-time accelerated expansion and fit supernova data as well as the standard Lambda-CDM model.

Contribution

It introduces a novel multidimensional gravitational framework with anisotropic pressure that explains cosmic acceleration and aligns with observational supernova data.

Findings

Model reproduces late-time acceleration of the Universe.

Fits Type Ia supernova data at or better than Lambda-CDM.

Predicts a finite acceleration epoch in both studied equations of state.

Abstract

We consider the gravitational model with additional spatial dimensions and anisotropic pressure which is nonzero only in these dimensions. Cosmological solutions in this model include accelerated expansion of the Universe at late age of its evolution and dynamical compactification of extra dimensions. This model describes observational data for Type Ia supernovae on the level or better than the $\Lambda$CDM model. We analyze two equations of state resulting in different predictions for further evolution, but in both variants the acceleration epoch is finite.