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Huang, Hai; Huang, Qihong; Zhang, Ruanjing

Phase space analysis of Tsallis agegraphic dark energy. (English) Zbl 1483.83030

Gen. Relativ. Gravitation 53, No. 7, Paper No. 63, 17 p. (2021).
Summary: Based on the generalized Tsallis entropy and holographic hypothesis, the Tsallis agegraphic dark energy (TADE) was proposed by introducing the timescale as infrared cutoff. In this paper, we analyze the evolution of the universe in the TADE model and the new Tsallis agegraphic dark energy (NTADE) model by considering an interaction between dark matter and dark energy as \(Q=H(\alpha\rho_m+\beta\rho_D)\). Through the phase space and stability analysis, we find an attractor which represents a late-time accelerated expansion phase can exist only in NTADE model. When \(0\leq\alpha<1\) and \(\beta=0\), this attractor becomes a dark energy dominated de Sitter solution and the universe can eventually evolve into an accelerated expansion era which is depicted by the \(\Lambda\) cold dark matter model. Thus, the expansion history of the universe can be depicted by the NTADE model.

MSC:

83C56 Dark matter and dark energy
94A17 Measures of information, entropy
83E05 Geometrodynamics and the holographic principle
83C15 Exact solutions to problems in general relativity and gravitational theory
35B35 Stability in context of PDEs

Keywords:

phase space; dark energy; stability
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Full Text: DOI

References:

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