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Imprints of Barrow-Tsallis Cosmology in Primordial Gravitational Waves

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arxiv 2403.09797 v1 pith:WQJE4M7C submitted 2024-03-14 gr-qc hep-th

Petr Jizba , Gaetano Lambiase , Giuseppe Gaetano Luciano , Leonardo Mastrototaro This is my paper · ORCID
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keywords deltaentropygravitationalbarrowcaseprimordialtsalliswaves
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abstract

Both the Barrow and Tsallis $\delta$ entropies are one-parameter generalizations of the black-hole entropy, with the same microcanonical functional form. The ensuing deformation is quantified by a dimensionless parameter $\Delta$, which in the case of Barrow entropy represents the anomalous dimension, while in Tsallis' case, it describes the deviation of the holographic scaling from extensivity. Here, we utilize the gravity-thermodynamics conjecture with the Barrow--Tsallis entropy to investigate the implications of the related modified Friedmann equations on the spectrum of primordial gravitational waves. We show that, with the experimental sensitivity of the next generation of gravitational wave detectors, such as the Big Bang Observer, it will be possible to discriminate deviations from the $\Lambda$CDM model up to $\Delta\lesssim\mathcal{O}(10^{-3})$.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological consequences of scale-dependent Barrow-Tsallis entropy

    gr-qc 2026-07 conditional novelty 6.0 of 10

    A scale-dependent Barrow-Tsallis entropy cosmology fits cosmic data but is statistically disfavored versus ΛCDM, with only a modest and partially circular Hubble-tension 'alleviation'.

  2. Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff

    gr-qc 2026-01 conditional novelty 5.0 of 10

    Barrow holographic dark energy with the Granda-Oliveros cutoff fits current background data as well as ΛCDM and shows a weak AIC preference only for the Union3-based dataset combination.

  3. Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis

    gr-qc 2025-02 reject novelty 5.0 of 10

    In a GUP-modified cosmology, matter fluctuations grow more slowly and the primordial gravitational wave spectrum is enhanced at high frequencies, leading to a claimed bound β ≲ 10^39.

  4. Effective matter sectors from modified entropies

    gr-qc 2025-11 conditional novelty 4.0 of 10

    Choosing a modified entropy S(r) fixes a metric f(r)=1-4πM/S'(r), and the Einstein tensor of that metric acts as an anisotropic effective fluid.

  5. Observational constraints on the modified cosmology inspired by string T-duality

    gr-qc 2025-10 conditional novelty 4.0 of 10

    Late-time data bound the T-duality zero-point-length coupling to β ≲ 10^-3, leaving ΛCDM statistically equivalent.

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