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Big Bang Nucleosynthesis constraints on Barrow entropy

2020/10/02 by John D. Barrow, Spyros Basilakos, Emmanuel N. Saridakis · 2 citations
Mathematics · Physics and Astronomy · #Astrophysics #Big Bang nucleosynthesis #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Entropy (arrow of time) #Galaxies: Formation, Evolution, Phenomena #Gravitation #Mathematical physics #Mathematics #Nucleosynthesis #Parameterized complexity #Physics #Stars #Statistical physics #Theoretical physics #Thermodynamics #Upper and lower bounds #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2021.136134

published as Phys.Lett.B 815 (2021) 136134 · 6 pages, 1 figure

arxiv created 2020/10/02 · openalex publication_date 2021/02/11 · arxiv updated 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We use Big Bang Nucleosynthesis (BBN) data in order to impose constraints on the exponent of Barrow entropy. The latter is an extended entropy relation arising from the incorporation of quantum-gravitational effects on the black-hole structure, parameterized effectively by the new parameter Δ. When considered in a cosmological framework and under the light of the gravity-thermodynamics conjecture, Barrow entropy leads to modified cosmological scenarios whose Friedmann equations contain extra terms. We perform a detailed analysis of the BBN era and we calculate the deviation of the freeze-out temperature comparing to the result of standard cosmology. We use the observationally determined bound on |δTfTf| in order to extract the upper bound on Δ. As we find, the Barrow exponent should be inside the bound Δ≲1.4×10−4 in order not to spoil the BBN epoch, which shows that the deformation from standard Bekenstein-Hawking expression should be small as expected.

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