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AT1 - Extended Theories of Gravity and Quantum Cosmology

Speaker

Shamir, Muhammad Farasat

Coauthors

Talk Title

Anisotropic Universe with Power Law $f(R)$ Gravity

Abstract

This study highlights the dynamics of anisotropic universe in modified gravity. To meet this aim, locally rotationally symmetric Bianchi type $I$ spacetime is studied in the metric theory of $f(R)$ gravity. Anisotropic fluid is considered to study the exact solutions of modified field equations. In particular, a general solution metric is reported using the well-known power law $f(R)$ gravity model. The graphical analysis of equation of state parameter is given which includes the corresponding values predicted for cosmic expansion. The energy conditions are also discussed for a range of specific model parameter. It is shown that anisotropic universe in modified gravity anticipate some interesting solutions and viable power law $f(R)$ gravity models can be reconstructed using suitable values of model parameter.

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