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Effects of modified gravity on the turnaround radius in cosmology

Shin’ichi Nojiri1,2, Sergei D. Odintsov3,4,5,7, and Valerio Faraoni6

  • 1Department of Physics, Nagoya University, Nagoya 464-8602, Japan
  • 2Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan
  • 3Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluís Companys, 23, 08010 Barcelona, Spain
  • 4Institute of Space Sciences (ICE, CSIC), C. Can Magrans s/n, 08193 Barcelona, Spain
  • 5Int. Lab. for Theor. Cosmology, TUSUR, 634050 Tomsk, Russia
  • 6Department of Physics and Astronomy and STAR Research Cluster, Bishop’s University, 2600 College Street, Sherbrooke, Québec, Canada J1M 1Z7
  • 7Institute of Physics, Kazan Federal University, Kazan 420008, Russia

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Phys. Rev. D 98, 024005 – Published 2 July, 2018

DOI: https://doi.org/10.1103/PhysRevD.98.024005

Abstract

We revisit the concept of turnaround radius in cosmology, in the context of modified gravity. While preliminary analyses were limited to scalar-tensor/F(R) gravity, we extend the definition and the study of this quantity to a much broader class of theories including also quantum R2 gravity. The turnaround radius is computed in terms of the parameters of the theory, and it is shown that a deviation not larger than 10% of this quantity from its value in Einstein’s theory could constrain the model parameters and even rule out some current theories.

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Phys. Rev. D 98, 024005– Published 2 July, 2018
  • Received 5 June 2018
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