Noether symmetry approach in energy-momentum squared gravity
Muhammad Sharif,M. Zeeshan Gul +1 more
TLDR
In this paper, a modified version of the Friedmann-Robertson-Walker (FRW) theory was proposed to explore some viable cosmological models and the Noether equations of this modified theory were solved for two types of models and obtained the symmetry generators as well as corresponding conserved quantities.Abstract:
In this paper, we investigate the newly developed $f(R,\mathbf{T}^2)$ theory ($R$ is the Ricci scalar and $\mathbf{T}^2=T_{\alpha\beta}T^{\alpha\beta},~T _{\alpha\beta}$ demonstrates the energy-momentum tensor) to explore some viable cosmological models. For this purpose, we use the Noether symmetry approach in the context of flat Friedmann-Robertson-Walker (FRW) universe. We solve the Noether equations of this modified theory for two types of models and obtain the symmetry generators as well as corresponding conserved quantities. We also evaluate exact solutions and investigate their physical behavior via different cosmological parameters. For the prospective models, the graphical behavior of these parameters indicate consistency with recent observations representing accelerated expansion of the universe. In the first case, we take a special model of this theory and obtain new class of exact solutions with the help of conserved quantities. Secondly, we consider minimal and non-minimal coupling models of $f(R,\mathbf{T} ^{2})$ gravity. We conclude that conserved quantities are very useful to derive the exact solutions that are used to study the cosmic accelerated expansion.read more
Citations
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Viable wormhole solutions in energy–momentum squared gravity
Muhammad Sharif,M. Zeeshan Gul +1 more
TL;DR: In this article, the static wormhole solutions through Noether symmetry approach in the context of energy-momentum squared gravity were investigated for both constant and variable red-shift functions.
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Stable charged gravastar model in $${f}(\mathfrak {R},\mathbf{T} ^{2})$$ gravity with conformal motion
Muhammad Sharif,Saba Naz +1 more
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Stability of the Closed Einstein Universe in Energy-Momentum Squared Gravity
Muhammad Sharif,M. Zeeshan Gul +1 more
TL;DR: In this article, the stability of the closed Einstein static universe was analyzed by using linear homogeneous perturbations in the framework of energy-momentum squared gravity, which resolves the primordial singularity and yields feasible cosmological results in the early times.
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Dynamical Analysis of Charged Dissipative Cylindrical Collapse in Energy-Momentum Squared Gravity
TL;DR: In this paper, the authors investigated the dynamics of charged cylindrical collapse with the dissipative matter configuration in f(R,TαβTα β) theory and established dynamical and transport equations through the Misner-Sharp and Muler-Israel Stewart techniques, respectively.
References
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