Growth of matter fluctuations in \(f(R, T)\) gravity. (English) Zbl 07848628
Summary: In this work, I present for the first time the analysis concerning the growth of matter fluctuations in the framework of \(f(R, T)\) modified gravity where I presume \(f(R, T) = R + \lambda T\), where \(R\) denote the Ricci scalar, \(T\) the trace of energy momentum tensor and \(\lambda\) a constant. I first solve the Friedman equations assuming a dust universe (\(\omega = 0\)) for the Hubble parameter \(H(z)\) and then employ it in the equation of matter density fluctuations \(\delta(z)\) to solve for \(\delta(z)\) and the growth rate \(f(z)\). Next, I proceed to show the behavior of \(f(z)\) and \(\delta(z)\) with redshift for some values of \(\lambda\) with observational constraints. Finally, following the prescription of [31], I present an analytical expression for the growth index \(\gamma\) which is redshift dependent and the expression reduces to \(3/5\) for \(\lambda = 0\), which is the growth index for a dust universe.
MSC:
| 83Fxx | Relativistic cosmology |
| 83Dxx | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83-XX | Relativity and gravitational theory |
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