https://doi.org/10.1140/epjp/s13360-022-03481-1
Regular Article
Barrow holographic dark energy in the Brans–Dicke cosmology
1
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, P.O. Box 55136-553, Maragheh, Iran
2
Applied Physics Section of Environmental Science Department, Universitat de Lleida, Av. Jaume II, 69, 25001, Lleida, Catalonia, Spain
3
Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cinthia 9, 80126, Napoli, Italy
4
Scuola Superiore Meridionale, Largo S. Marcellino 10, 80138, Napoli, Italy
5
Istituto Nazionale di Fisica Nucleare (INFN), Sez. di Napoli, Via Cinthia 9, 80126, Napoli, Italy
b
giuseppegaetano.luciano@udl.cat
Received:
25
October
2022
Accepted:
8
November
2022
Published online:
25
January
2023
We construct a holographic model for dark energy in the Brans–Dicke cosmology by using the holographic principle considering the Barrow entropy instead of the standard Bekenstein–Hawking one. The former arises from the effort to account for quantum gravitational effects in black hole physics and, according to the gravity–thermodynamic conjecture, in the cosmological framework. In order to explore the cosmological consequences of our model, we consider the Hubble horizon as the IR cutoff. We investigate both the non-interacting and interacting cases with the sign-changeable and linear interactions, showing that they can explain the present accelerated phase of the Universe expansion, in contrast to the standard holographic dark energy model. We then perform the stability analysis according to the squared sound speed. We find that, while the non-interacting model is unstable against small perturbations, the sign-changeable interacting one can be stable only for suitable values of the model parameters. On the other hand, the linear interacting model always predicts a stable Universe. The consistency of the model with respect to cosmological observations is discussed.
Focus Point on Tensions in Cosmology from Early to Late Universe: The Value of the Hubble Constant and the Question of Dark Energy. Guest editors: S. Capozziello, V.G. Gurzadyan.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
