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Stability of the Einstein static universe in f(R) gravity

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arxiv 0706.1663 v2 pith:TXTF467Z submitted 2007-06-12 gr-qc astro-phhep-th

Christian G. Boehmer , Lukas Hollenstein , Francisco S. N. Lobo This is my paper · ORCID
classification gr-qcastro-phhep-th
keywords gravityeinsteinstabilityconsideringgeneralrelativitysolutionsstatic
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We analyze the stability of the Einstein static universe by considering homogeneous scalar perturbations in the context of f(R) modified theories of gravity. By considering specific forms of f(R), the stability regions of the solutions are parameterized by a linear equation of state parameter w=p/rho. Contrary to classical general relativity, it is found that in f(R) gravity a stable Einstein cosmos with a positive cosmological constant does indeed exist. Thus, we are lead to conclude that, in principle, modifications in f(R) gravity stabilize solutions which are unstable in general relativity.

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  1. Cosmological implications and causality in $f(R, L_{m}, T)$ gravity theory with observational constraints

    gr-qc 2025-01 reject novelty 4.0 of 10

    Four f(R,Lm,T) fluid models are fitted to CC+Pantheon+SH0ES data, but the assumed matter conservation contradicts the theory's field equations.

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