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Dynamics of relativistic fluids with structure scalars and \(\epsilon R^2\) cosmology

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Abstract

This work is devoted to analyze the effects of \(f(R)\) model on the dynamics of dissipative shearing viscous and anisotropic spherical matter configuration. In this framework, we develop scalar functions and link their expressions with various physical parameters and inflationary \(f(R)\) dark source terms. We also relate the Weyl tensor as well as other matter variables with \(R+{\epsilon }R^2\) background and obtain evolution equations for shear and expansion scalars. We conclude that structure scalars and \(f(R)\) higher curvature terms have significant importance in the dynamics of self-gravitating systems.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    M. Sharif & Z. Yousaf

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  1. M. Sharif
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  2. Z. Yousaf
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Correspondence to M. Sharif.

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Sharif, M., Yousaf, Z. Dynamics of relativistic fluids with structure scalars and \(\epsilon R^2\) cosmology. Gen Relativ Gravit 47, 48 (2015). https://doi.org/10.1007/s10714-015-1873-9

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