Bouncing cosmology with future singularity from modified gravity

2015/04/30 by S. D. Odintsov, Sergei D. Odintsov, V. K. Oikonomou · 143 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #De Sitter universe #Einstein #Geometry #Gravitational singularity #Initial singularity #Mathematical physics #Mathematics #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Singularity #Theoretical physics #Universe #astro-ph.CO #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.92.024016

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(2) (American Physical Society) · PRD version

arxiv created 2015/06/27 · openalex publication_date 2015/07/09 · arxiv updated 2015/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate which Jordan frame F(R) gravity can describe a type IV singular bouncing cosmological evolution, with special emphasis given near the point at which the type IV singularity occurs. The cosmological bounce is chosen in such a way that the bouncing point coincides exactly with the type IV singularity point. The stability of the resulting F(R) gravity is examined and in addition, we study the Einstein frame scalar-tensor theory counterpart of the resulting Jordan frame F(R) gravity. Also, by assuming that the Jordan frame metric is chosen in such a way so that, when conformally transformed in the Einstein frame, it yields a quasi--de Sitter or de Sitter--Friedmann--Robertson--Walker metric, we study the observational indexes which turn out to be consistent with Planck 2015 data in the case of the Einstein frame scalar theory. Finally, we study the behavior of the effective equation of state corresponding to the type IV singular bounce and after we compare the resulting picture with other bouncing cosmologies, we critically discuss the implications of our analysis.

Citations

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Cited by

• Type IV singular bouncing cosmology from f(T) gravity
• Constraints on the sum of the neutrino masses in dynamical dark energy models with w(z)≥−1 are tighter than those obtained in ΛCDM

Related

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