arXiv:2407.21074v1 Announce Type: new
Abstract: Applying the modified Barrow entropy, inspired by the quantum fluctuation effects, to the cosmological background, and using thermodynamics-gravity conjuncture, the Friedmann equations get modified as well. In this paper, we explore the holographic dark energy with Granda-Oliveros (GO) IR cutoff, in the context of the modified Barrow cosmology. First, we assume two dark components of the universe evolves independently and obtain the cosmological parameters and explore the cosmic evolution. Second, we consider an interaction term between dark energy (DE) and dark matter (DM). We observe that the Barrow parameter $delta$ crucially affects the cosmic dynamics, causes the transition from the decelerating phase to the accelerating phase occurs later. We find out that the equation of state parameter is in the quintessence region in the past and crosses the phantom divide at the present time. Finally, we examine the squared speed of sound analysis for this model. According to the squared sound speed diagrams, the results indicate that the presence of interaction between DM and DE as well as increasing in the value of $delta$ leads to the manifestation of signs of instability in the past $(v_s^2<0)$. Furthermore, by examining the statefinder, we find that presence of $delta$ also makes a distinction between holographic dark energy in Barrow cosmology with GO-IR cutoff and the $Lambda$CDM model. In fact, increasing $delta$ causes the statefinder diagram move away from the point of $leftlbrace r,srightrbrace= leftlbrace 1,0rightrbrace$ at $z=0$.
= -infty)$. In future studies, these results can be further investigated and refined.
Based on the conclusions of the text, a potential roadmap for readers could be as follows:
Introduction
Provide a brief overview of the modified Barrow entropy and its application to the cosmological background. Explain the motivation behind exploring the holographic dark energy with Granda-Oliveros (GO) IR cutoff in the context of the modified Barrow cosmology. Highlight the two main objectives of the study: analyzing the evolution of the cosmological parameters and investigating the interaction between dark energy and dark matter.
Cosmological Parameters and Cosmic Evolution
Present the findings of the study on the evolution of the cosmological parameters in the context of the modified Barrow cosmology. Discuss the implications of the Barrow parameter $delta$ on the cosmic dynamics, specifically its role in the transition from the decelerating phase to the accelerating phase. Highlight any significant observations or trends.
Interaction between Dark Energy and Dark Matter
Examine the results of the study on the interaction between dark energy and dark matter. Discuss the implications of this interaction on the equation of state parameter, particularly its evolution from the quintessence region to crossing the phantom divide. Explain the significance of these findings in understanding the behavior of dark energy and dark matter.
Squared Speed of Sound Analysis
Explore the squared speed of sound analysis for this model. Present the results from the squared sound speed diagrams and discuss the implications of the presence of interaction between dark energy and dark matter, as well as the impact of increasing the value of $delta$, on the manifestation of signs of instability in the past $(v_s^2 = -infty)$. Discuss the potential implications of these findings and areas for future investigation.
Conclusion and Future Directions
Summarize the main findings of the study and their implications. Emphasize the significance of the modified Barrow entropy and the use of the thermodynamics-gravity conjuncture in understanding the cosmological background. Highlight the potential challenges and opportunities for further research, such as refining the analysis and exploring the implications of the findings in other cosmological models. Encourage readers to engage with the research and contribute to the ongoing exploration of these topics.
- Challenge 1: Further investigation and refinement of the results
- Challenge 2: Exploring the implications of the findings in other cosmological models
- Opportunity 1: Engaging with the research and contributing to ongoing exploration
- Opportunity 2: Advancing our understanding of the modified Barrow entropy and its applications in cosmology
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