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General Relativity and Quantum Cosmology

arXiv:0706.1663 (gr-qc)
[Submitted on 12 Jun 2007 (v1), last revised 18 Jun 2007 (this version, v2)]

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

Authors:Christian G. Boehmer, Lukas Hollenstein, Francisco S. N. Lobo
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Abstract: 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.
Comments: 7 pages, 2 figures, 2 tables; references added
Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:0706.1663 [gr-qc]
  (or arXiv:0706.1663v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0706.1663
Journal reference: Phys.Rev. D76 (2007) 084005
Related DOI: https://doi.org/10.1103/PhysRevD.76.084005

Submission history

From: Lukas Hollenstein [view email]
[v1] Tue, 12 Jun 2007 11:30:49 UTC (154 KB)
[v2] Mon, 18 Jun 2007 09:59:42 UTC (155 KB)
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