Exploring Holographic Dark Energy Models with Granda-Oliveros Cutoff
arXiv:2405.15798v1 Announce Type: new
Abstract: Holographic dark energy models have proven to be a very interesting way to study various aspects of late-time acceleration of the universe. In this work we extensively study HDE models with the Granda-Oliveros cutoff with an ansatz based approach. We consider the Tsallis, Barrow and PLEC HDE models in this regard and consdier simple power law, emergent universe, intermediate and logamediate forms of for the universe. Studying various cosmologically interesting parameters alongside the thermodynamical aspects in these models, we show that the Logamediate models are the best fit out of the other possibilites, followed by the emergent universe model, intermediate model and the simple power law models at the very last in terms of feasibility.
The Future of Holographic Dark Energy Models
In recent years, holographic dark energy (HDE) models have emerged as a fascinating framework for understanding the late-time acceleration of the universe. These models offer unique insights into various cosmological aspects and provide new possibilities for studying the universe. In this work, we extensively examine HDE models with the Granda-Oliveros cutoff using an ansatz-based approach.
Models Considered
We consider three different HDE models: Tsallis, Barrow, and PLEC. These models provide distinct perspectives and insights into the nature of dark energy. By exploring these models, we can gain a deeper understanding of the universe’s accelerated expansion.
Forms of the Universe
To study the feasibility of HDE models, we examine four different forms of the universe: simple power law, emergent universe, intermediate, and logamediate. Each form offers unique characteristics and implications for the late-time acceleration.
Key Findings
After extensive analysis and studying several cosmologically interesting parameters, we have determined the feasibility of each HDE model and form of the universe.
- The Logamediate model shows the best fit among all possibilities, indicating its potential as a promising framework for understanding the late-time acceleration of the universe.
- The Emergent Universe model demonstrates strong feasibility and offers valuable insights into the universe’s expansion.
- The Intermediate model presents an interesting alternative and warrants further investigation to fully comprehend its implications.
- The Simple Power Law models are the least feasible among the examined possibilities and require additional refinements or alternative explanations.
Future Challenges and Opportunities
While this study sheds light on the potential of HDE models and provides valuable insights, there are several challenges and opportunities that should be taken into consideration for future research.
Challenges
- Data Constraints: Obtaining accurate and precise observational data is crucial for validating and refining HDE models. Overcoming limitations in observational techniques and expanding data collection efforts will be a challenge.
- Theoretical Refinements: Further theoretical developments are necessary to improve our understanding of HDE models and explore their implications in greater detail. Refining the underlying assumptions and incorporating more complex dynamics will require interdisciplinary efforts.
- Consistency with Other Frameworks: Comparing HDE models with alternative frameworks, such as quintessence or modified gravity theories, will be essential for understanding their compatibility and distinguishing unique features.
Opportunities
- Expanded Observational Data: Advancements in observational techniques and upcoming missions, such as the James Webb Space Telescope, will provide a wealth of data to refine and validate HDE models.
- Interdisciplinary Collaborations: Engaging researchers from various fields like cosmology, theoretical physics, and mathematics will foster a holistic understanding of HDE models and facilitate innovative approaches.
- Mathematical Innovations: Exploring alternative mathematical frameworks and computational techniques can lead to novel insights and potentially unearth new aspects of HDE models.
In conclusion, HDE models with the Granda-Oliveros cutoff offer an intriguing avenue for studying the late-time acceleration of the universe. By examining different HDE models and forms of the universe, we have identified the Logamediate model as the most promising, followed by the Emergent Universe model, the Intermediate model, and the Simple Power Law models. Overcoming challenges in data constraints, theoretical refinements, and consistency with other frameworks will be crucial for the future exploration of HDE models. However, the opportunities presented by expanded observational data, interdisciplinary collaborations, and mathematical innovations provide exciting prospects for unravelling the mysteries of dark energy and the accelerated expansion of the universe.