Cosmological Evolution of Tsallis Holographic Dark Energy Model in The LTB Inhomogeneous Universe | ||
| Scientific Journal for Damietta Faculty of Science | ||
| Volume 14, Issue 2, 2024, Pages 98-108 PDF (1.42 M) | ||
| Document Type: Original articles | ||
| DOI: 10.21608/sjdfs.2024.379821 | ||
| Authors | ||
| Mohamed Abdelrashied* 1; Ayman Aly2; Mostafa Selim3 | ||
| 1Department of Physics, Faculty of Science, Damietta University, New Damietta, Egypt. | ||
| 2Department of Physics, Faculty of Science, Damanhur University, Damanhur, Egypt | ||
| 3Professor of Theoretical Physics, Physics Department Faculty of Science Damietta University | ||
| Abstract | ||
| This work aims to construct the generalized form of holographic dark energy den- sity which is known as the Tsallis holographic dark energy within an inhomogeneous universe scenario with interacting dark sectors. This holographic model has been investigated using the IR cutoff equals the Hubble horizon. The evolutionary behavior of some basic cosmological parameters, such as the Hubble parameter, the deceleration parameter, and the equation of state parameter is studied and plotted against the redshift. The stability of these models has been studied by investigating the evolution of the square of sound speed of the cosmologi- cal matter fluctuations against the redshift. In addition, the evolution of the diagnostic Om and Lm parameters is studied. The obtained results show a very good agreement between the recent values of some of the cosmological parameters with the observations. Some ma- jor differences and similarities between these models and previously studied inhomogeneous models have been shown. The features that distinguish these models from each other and the standard cosmological model have been studied by applying the state finder analysis. To in- vestigate the viability of these models and how they are candidates to explain a realistic case of our universe, they have been tested with the violation of the second law of thermodynamics and the evolution of the sound speed squared parameter. | ||
| Keywords | ||
| Holographic dark energy; Tsallis holographic model; Inhomogeneous LTB uni- verse | ||
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