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AT1 - Extended Theories of Gravity and Quantum Cosmology

Speaker

Zubair, Muhammad

Coauthors

Zeeshan, M.

Talk Title

Late time cosmic acceleration with non-minimally coupled gravity

Abstract

In current cosmic scenario, an accelerated expansion era is being reported by various observations. The reasoning of such scenario is still unknown, the presence of an unknown energy component is seen which is named as dark energy (DE). There are various approaches to discuss the existence of DE and present cosmic acceleration. One of such attempts is the modification of Einstein's gravity, here we attempt to explore this problem in the framework of modified gravity based on non-minimal matter-geometry coupling. $f(R,T,Q)$ modified theory is chosen (where $R$ is the Ricci Scalar, $T$ is the trace of energy-momentum tensor (EMT) $T_{uv}$ and $Q=R_{uv}T^{uv}$ is interaction of EMT $T_{\mu\nu}$ and Ricci Tensor $R_{uv}$) to address this problem. We formulate the dynamical equations in the background of Friedmann-Lernaitre-Robertson-Walker (FLRW) model and find the result of non-conserved EMT using the divergence of the field equations. In this scenario motion of test particles is non-geodesic and an extra force orthogonal to four-velocity of the particle is present due non-minimal coupling. We applied this result to find an expression for energy density $\rho$ for particular choice of Lagrangian. Furthermore, we discuss the energy bound on the model parameters and discuss the late time cosmic acceleration for best suitable parameters in accordance with recent observations.

Talk view

AT1-711ZU933AD.pdf

 

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