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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina


IMPACT FACTOR 2018: 1.005

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Volume 12, Issue 4

Issues

Volume 13 (2015)

Planck-scale corrections to Friedmann equation

Adel Awad
  • Centre for Fundamental Physics, Zewail City of Science and Technology Sheikh Zayed, 12588, Giza, Egypt
  • Department of Physics, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt
  • Center for Theoretical Physics, British University of Egypt, Sherouk City, 11837, P.O. Box 43, Egypt
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/ Ahmed Ali
  • Centre for Fundamental Physics, Zewail City of Science and Technology Sheikh Zayed, 12588, Giza, Egypt
  • Department of Physics, Faculty of Science, Benha University, Benha, 13518, Egypt
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Published Online: 2014-04-23 | DOI: https://doi.org/10.2478/s11534-014-0441-3

Abstract

Recently, Verlinde proposed that gravity is an emergent phenomenon which originates from an entropic force. In this work, we extend Verlinde’s proposal to accommodate generalized uncertainty principles (GUP), which are suggested by some approaches to quantum gravity such as string theory, black hole physics and doubly special relativity (DSR). Using Verlinde’s proposal and two known models of GUPs, we obtain modifications to Newton’s law of gravitation as well as the Friedmann equation. Our modification to the Friedmann equation includes higher powers of the Hubble parameter which is used to obtain a corresponding Raychaudhuri equation. Solving this equation, we obtain a leading Planck-scale correction to Friedmann-Robertson-Walker (FRW) solutions for the p = ωp equation of state.

Keywords: quantum gravity; entropic force; thermodynamics; black holes

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About the article

Published Online: 2014-04-23

Published in Print: 2014-04-01


Citation Information: Open Physics, Volume 12, Issue 4, Pages 245–255, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-014-0441-3.

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