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Effects of \(f(R)\) model on dynamics of axial shear-free dissipative fluids. (English) Zbl 1337.83080

Summary: We present a general analysis on non-static axial system with dissipative shear-free anisotropic fluid using polynomial inflationary \(f(R)\) model. We study the effects of dissipation on the dynamics of geodesic matter distribution. This leads the system either to rotation-free or expansion-free but not both simultaneously under geodesic condition. It is found that the system preserves its symmetry in both cases. For the rotation-free case, when there is no dissipation and Ricci scalar is constant, the axial system reduces to FRW universe model. This is exactly the same result obtained in general relativity.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
76U05 General theory of rotating fluids
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