Physics Maths Engineering
Tachyon Model of Tsallis Holographic Dark Energy
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Abstract
In this paper we consider the correspondence between the tachyon dark energy model and the Tsallis holographic dark energy scenario in an FRW universe. We demonstrate the Tsallis holographic description of tachyon dark energy in an FRW universe and reconstruct the potential and basic results of the dynamics of the scalar field which describe the tachyon cosmology. In a flat universe, in the tachyon model of Tsallis holographic dark energy, independently of the existence of interaction between dark energy and matter or not, T˙ 2 must always be zero. Therefore, the equation of state ωD is always −1 in such a flat universe. For a non-flat universe, T˙ 2 cannot be zero so that ωD 6= −1 which cannot be used to explain the origin of the cosmological constant. T˙ 2 monotonically decreases with the increasing of cos(Rh/a) and cosh(Rh/a) for different δs. In particular, for an open universe, T˙ 2 is always larger than zero while for a closed universe, T˙ 2 is always smaller than zero which is physically invalid. In addition, we conclude that with the increasing of cos(Rh/a) and cosh(Rh/a), T˙ 2 always decreases monotonically for irrespective of the value of b2.
Key Questions
What is the main focus of the study?
This study focuses on the tachyon model of Tsallis holographic dark energy. It examines the theoretical framework and implications of using a tachyon field to describe dark energy in the context of Tsallis statistics and holography.
What is Tsallis holographic dark energy?
Tsallis holographic dark energy is a modification of the conventional holographic dark energy model. It incorporates Tsallis entropy, a non-extensive generalization of the usual entropy, to explain the accelerated expansion of the universe and dark energy dynamics.
What is the role of the tachyon field in this model?
The tachyon field, which is a theoretical field used to model scalar fields with imaginary mass, is employed in this study to describe the behavior of dark energy. It is used as an alternative to conventional scalar fields, offering a new approach to understanding cosmic acceleration and the universe's expansion.
How does Tsallis entropy relate to dark energy?
Tsallis entropy modifies the usual entropy used in thermodynamics and cosmology by introducing a non-extensive parameter, which allows for better fitting of the cosmological model to observed data. This modification can potentially explain the nature and evolution of dark energy, which governs the accelerated expansion of the universe.
What is the significance of this tachyon model?
The tachyon model provides an alternative description of dark energy that could offer new insights into the dynamics of the universe’s expansion. This model is significant as it opens up the possibility of reconciling the observed accelerated expansion with the fundamental properties of dark energy through the use of non-standard field theory approaches.
What are the key results from the study?
The study demonstrates that the tachyon model of Tsallis holographic dark energy can effectively describe the evolution of the universe. The analysis suggests that the model can provide a more accurate explanation of the cosmic acceleration observed in the universe compared to traditional models of dark energy.
What are the potential implications of this model in cosmology?
This model could contribute to the understanding of dark energy, offering an alternative theoretical framework that aligns with both theoretical principles and observational data. It may lead to better predictions for the future evolution of the universe and provide a deeper understanding of the physical properties of dark energy.
