Turning a Newtonian analogy for FLRW cosmology into a relativistic problem

Valerio Faraoni and Farah Atieh
Phys. Rev. D 102, 044020 – Published 7 August 2020

Abstract

A Newtonian uniform ball expanding in empty space constitutes a common heuristic analogy for FLRW cosmology. We discuss possible implementations of the corresponding general-relativistic problem and a variety of new cosmological analogies arising from them. We highlight essential ingredients of the Newtonian analogy, including the fact that the Hawking-Hayward quasilocal mass that is always “Newtonian” in the sense that the magnetic part of the Weyl tensor does not contribute to it. A symmetry of the Einstein-Friedmann equations produces another one in the original Newtonian system.

  • Received 18 June 2020
  • Accepted 27 July 2020

DOI:https://doi.org/10.1103/PhysRevD.102.044020

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Valerio Faraoni* and Farah Atieh

  • Department of Physics and Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Québec J1M 1Z7, Canada

  • *vfaraoni@ubishops.ca
  • fatieh19@ubishops.ca

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Issue

Vol. 102, Iss. 4 — 15 August 2020

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