Eur. Phys. J. C (2025) 85: 395
https://doi.org/10.1140/epjc/s10052-025-14113-0

Regular Article - Theoretical Physics

Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole

¹ School of Physics and Electronic Science, Zunyi Normal University, 563006, Zunyi, Guizhou, China
² Institute of Applied Mechanics, Zhejiang University, 310058, Hangzhou, Zhejiang, China
³ School of Electrical and Electronic Engineering, Anhui Science and Technology University, 233030, Bengbu, Anhui, China
⁴ Department of Physics, Anhui Normal University, 241000, Wuhu, Anhui, China

^a huangqihongzynu@163.com

Received: 8 January 2025
Accepted: 22 March 2025
Published online: 8 April 2025

Abstract

Based on the entropy of anti-de Sitter black hole, a new holographic dark energy model has been proposed. When the Hubble horizon and particle horizon are chosen as the IR cutoff, the late-time accelerated expansion of universe is realized. In this paper, we consider the Hubble horizon as the IR cutoff to investigate holographic inflation and slow-roll inflation in this model. We find that slow-roll inflation with the chaotic potential $V_0{\varphi }^n$ is favored by Planck results for some special cases, such as $n=1/3$ and $n=1/2$, while holographic inflation is not supported by Planck results. Then, we analyze the reheating temperature and the number of reheating e-folds in this model, and we find that the results favor the cases $n=1/3$ and $n=1/2$. Finally, we use the dynamical analysis method, statefinder diagnostic pairs, and the Hubble diagram to analyze this model. Our results indicate that when $b^2$ takes a small value, this model cannot be distinguished from the standard $\mathrm{\Lambda }$CDM model and can serve as an alternative to it.