New Tsallis holographic dark energy
Abstract Tsallis entropy is a generalization of the Boltzmann–Gibbs entropy in statistical theory which uses a parameter $$\delta $$ δ to measure the deviation from the standard scenario quantitatively. Using concepts of Tsallis entropy and future event horizon, we construct a new Tsallis holographi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10171-w |
| _version_ | 1818289444306812928 |
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| author | Bramha Dutta Pandey P. Suresh Kumar Pankaj Umesh Kumar Sharma |
| author_facet | Bramha Dutta Pandey P. Suresh Kumar Pankaj Umesh Kumar Sharma |
| author_sort | Bramha Dutta Pandey |
| collection | DOAJ |
| description | Abstract Tsallis entropy is a generalization of the Boltzmann–Gibbs entropy in statistical theory which uses a parameter $$\delta $$ δ to measure the deviation from the standard scenario quantitatively. Using concepts of Tsallis entropy and future event horizon, we construct a new Tsallis holographic dark energy model. The parameters c and $$\delta $$ δ will be used to characterize various aspects of the model. Analytical expressions for various cosmological parameters such as the differential equation describing the evolution of the effective dark energy density parameter, the equation of state parameter and the deceleration parameter are obtained. The equation of state parameter for the current model exhibits the pure quintessence behaviour for $$c>1$$ c > 1 , quintom behaviour for $$c<1$$ c < 1 whereas the $$\Lambda $$ Λ CDM model is recovered for $$c=1$$ c = 1 . To analyze the thermal history of the universe, we obtained the expression for the deceleration parameter and found that for $$z \approx 0.6$$ z ≈ 0.6 , the phase transits from deceleration to acceleration. |
| first_indexed | 2024-12-13T02:12:22Z |
| format | Article |
| id | doaj.art-ca5e47480d784705a5bbacce9842f918 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T02:12:22Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-ca5e47480d784705a5bbacce9842f9182022-12-22T00:02:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522022-03-018231810.1140/epjc/s10052-022-10171-wNew Tsallis holographic dark energyBramha Dutta Pandey0P. Suresh Kumar1Pankaj2Umesh Kumar Sharma3Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University MathuraDepartment of Mathematics, Institute of Applied Sciences and Humanities, GLA University MathuraIT Department (Math Section), University of Technology and Applied Sciences-HCTDepartment of Mathematics, Institute of Applied Sciences and Humanities, GLA University MathuraAbstract Tsallis entropy is a generalization of the Boltzmann–Gibbs entropy in statistical theory which uses a parameter $$\delta $$ δ to measure the deviation from the standard scenario quantitatively. Using concepts of Tsallis entropy and future event horizon, we construct a new Tsallis holographic dark energy model. The parameters c and $$\delta $$ δ will be used to characterize various aspects of the model. Analytical expressions for various cosmological parameters such as the differential equation describing the evolution of the effective dark energy density parameter, the equation of state parameter and the deceleration parameter are obtained. The equation of state parameter for the current model exhibits the pure quintessence behaviour for $$c>1$$ c > 1 , quintom behaviour for $$c<1$$ c < 1 whereas the $$\Lambda $$ Λ CDM model is recovered for $$c=1$$ c = 1 . To analyze the thermal history of the universe, we obtained the expression for the deceleration parameter and found that for $$z \approx 0.6$$ z ≈ 0.6 , the phase transits from deceleration to acceleration.https://doi.org/10.1140/epjc/s10052-022-10171-w |
| spellingShingle | Bramha Dutta Pandey P. Suresh Kumar Pankaj Umesh Kumar Sharma New Tsallis holographic dark energy European Physical Journal C: Particles and Fields |
| title | New Tsallis holographic dark energy |
| title_full | New Tsallis holographic dark energy |
| title_fullStr | New Tsallis holographic dark energy |
| title_full_unstemmed | New Tsallis holographic dark energy |
| title_short | New Tsallis holographic dark energy |
| title_sort | new tsallis holographic dark energy |
| url | https://doi.org/10.1140/epjc/s10052-022-10171-w |
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