Abstract

In this work, we present a Big Rip scenario within the framework of the generalized Brans-Dicke (GBD) theory. In the GBD theory, we consider an evolving BD parameter along with a self-interacting potential. An anisotropic background is considered to have a more general view of the cosmic expansion. The GBD theory with a cosmological constant is presented as an effective cosmic fluid within general relativity which favours a phantom field dominated phase. The model parameters are constrained so that the model provides reasonable estimates of the Hubble parameter and other recent observational aspects at the present epoch. The dynamical aspects of the BD parameter and the BD scalar field have been analysed. It is found that the present model witnesses a finite time doomsday at a time of tBR≃16.14Gyr, and for this scenario, the model requires a large negative value of the Brans-Dicke parameter.

Highlights

  • Foundations 2022, 2, 128–139. https://Late-time cosmic acceleration is one of the most bizarre and unsolved problems in modern cosmology

  • In scalar field cosmological models, the late-time cosmic acceleration issue is predominantly attributed to an exotic dark energy (DE) form that corresponds to a cosmic fluid having low energy density, as well as negative pressure

  • The generalized Brans-Dicke theory having a cosmological constant can be recast as a general relativity (GR)-like theory with cosmic fluid dominated by dark energy

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Summary

Introduction

Late-time cosmic acceleration is one of the most bizarre and unsolved problems in modern cosmology. In phantom dark energy models, the energy conditions are usually violated, and the Universe may witness a blowing-up of the curvature of space-time at a finite time, leading to the dissolution of the whole material Universe into pieces This picture of the finite future of the Universe, dubbed as the Big Rip singularity, concerns the recent cosmological research [11,12]. The occurrence of Big Rip singularity, for which the energy density and the scale factor of the Universe diverge, dissolutes the bound system and leads to the tearing up of the Universe in finite time Such a scenario has become a major concern for cosmologists. Montenegro and Carneiro have investigated some cosmological models leading to Big Rip kinds of solutions within the Brans-Dicke theory in the presence of decaying vacuum density In that work, they considered a time-independent negative BD parameter ω = −1 [22].

Basic Formalism
A Big Rip Scenario
Brans-Dicke Scalar Field
Brans-Dicke Parameter
Self-Interacting Potential
Summary and Conclusions

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