A modified holographic dark energy model with infrared infinite extra dimension(s)

2009/07/31 by Yungui Gong, Tianjun Li · 81 citations
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Combinatorics #Cosmology #Cosmology and Gravitation Theories #Cutoff #Dark energy #Dimension (graph theory) #Extra dimensions #Galaxies: Formation, Evolution, Phenomena #Generalization #Hubble's law #Infrared #Mathematical analysis #Mathematical physics #Mathematics #Omega #Physics #Quantum mechanics #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physletb.2009.12.040

published in Physics Letters B 683(4-5), 241-247 (Elsevier BV) · 7 figures, use revtex, minor revisions, main results unchanged, PLB in press

arxiv created 2009/12/28 · openalex publication_date 2009/12/29 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a modified holographic dark energy (MHDE) model with the Hubble scale as the infrared (IR) cutoff. Introducing the infinite extra dimension(s) at very large distance scale, we consider the black hole mass in higher dimensions as the ultraviolet cutoff. Thus, we can probe the effects of the IR infinite extra dimension(s). As a concrete example, we consider the Dvali-Gabadadze-Porrati (DGP) model and its generalization. We find that the DGP model is dual to the MHDE model in five dimensions, and the ΛCDM model is dual to the MHDE model in six dimensions. Fitting the MHDE model to the observational data, we obtain that Ω_m0=0.269^+0.030_-0.027, Ω_k0=0.003^+0.011_-0.012, and the number of the spatial dimensions is N=4.78^+0.68_-0.44. The best fit value of N implies that there might exist two IR infinite extra dimensions.

Citations

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