Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

Pheiroijam Suranjoy Singh,Kangujam Priyokumar Singh

doi:10.3390/universe8020060

Pheiroijam Suranjoy Singh, Kangujam Priyokumar Singh

Open Access

https://doi.org/10.3390/universe8020060

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Journal: Universe	Publication Date: Jan 18, 2022
Citations: 4	License type: CC BY 4.0

Affiliation: Bodoland University, Manipur University

Abstract

In this work, we study a spherically symmetric metric in 5D within the framework of Saez-Ballester Theory, where minimal dark energy-matter interaction occurs. We predict that the expanding isotropic universe will be progressively DE dominated. We estimate few values of the deceleration parameter, very close to the recently predicted values. We obtain the value of the DE EoS parameter as ω=−1. Additionally, we measure the value of the overall density parameter as Ω=0.97(≈1), in line with the notion of a close to or nearly (not exactly) flat universe. We predict that the model universe starts with the Big-Bang and ends at the Big Freeze singularity. In general, we cannot find conditions for stabilization of extra dimensions in general relativity, and all dimensions want to be dynamical. Here, we present two possible conditions to solve this stabilization problem in general relativity.

Highlights

Since the discovery of dark energy (DE) [1,2] in 1998, it has gained a reputation as one of the topics of paramount importance among the cosmological forums
We need to verify all the possible outcomes of assuming the extra dimension is of infinite volume in a higher-dimensional vacuum energy model within general relativity (GR)
We have analyzed a cosmological model in spherically symmetric space-time in a 5D setting with minimally interacting matter and holographic dark energy (HDE) in Saez-Ballester Theory (SBT)

Summary

Introduction

Since the discovery of dark energy (DE) [1,2] in 1998, it has gained a reputation as one of the topics of paramount importance among the cosmological forums. Despite investing tremendous scientific efforts to explore it, its origin, bizarre nature, and future aspects to modern cosmology are still up for grabs It is characterized by the distinctive feature of possessing a huge negative pressure opposing gravity resulting in the enigmatic phenomenon of the universe expanding at an expedited rate at late times. In [7], the authors study a higher dimensional cosmological model to find the origin of DE. They further predict an f (R, T) gravity model as a DE source [8]. In [67], it is mentioned that extra-dimensional theories of gravity might explain the early inflation and late-time acceleration of the universe.

Formulation of Problem and Solutions

Discussion

Stabilization of Extra Dimensions

Conclusions