Emergent universe in chameleon, f(R) and f(T) gravity theories
Surajit Chattopadhyay (Pailan College of Management, Technology,, Kolkata), Ujjal Debnath (Bengal Engineering, Science University,, Shibpur)

TL;DR
This paper explores the emergent universe scenario within chameleon, f(R), and f(T) gravity theories, reconstructing the chameleon potential and analyzing the equation-of-state behavior in these models.
Contribution
It introduces a reconstruction of the chameleon potential in emergent universe models and compares the EoS behavior across different modified gravity theories.
Findings
Chameleon potential increases with universe evolution.
EoS behaves like quintessence in f(R) gravity.
EoS behaves like phantom in f(T) gravity.
Abstract
In this work, we consider an emergent universe in generalized gravity theories like the chameleon, f(R) and f(T) gravities. We reconstruct the potential of the chameleon field under the emergent scenario of the universe and observe its increasing nature with the evolution of the universe. We reveal that in the emergent universe scenario, the equation-of-state parameter behaves like quintessence in the case of f(R) gravity and like phantom in the case of f(T) gravity.
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