arXiv:2410.19897v1 Announce Type: new
Abstract: We present a comprehensive investigation exploring the theoretical framework of Einstein-Aether gravity theory when combined with two novel cosmological paradigms: the Barrow Agegraphic Dark Energy (BADE) and its newer variant, the New Barrow Agegraphic Dark Energy (NBADE). Our study focuses on deriving the functional relationships within Einstein-Aether gravity as they emerge from these dark energy formulations. The parameter space of our theoretical models is rigorously constrained through statistical analysis employing the Markov Chain Monte Carlo (MCMC) methodology, utilizing multiple observational datasets, incorporating measurements from cosmic chronometers (CC), Baryon Acoustic Oscillations (BAO), and the combined Pantheon+SH0ES compilation. Based on our optimized parameter sets, we conduct an extensive analysis of fundamental cosmological indicators, including cosmographic parameter evolution, dark energy equation of state parameter ($omega_{DE}$), evolution of the density parameter $Omega(z)$, dynamical characteristics in the $omega’_{DE}-omega_{DE}$ space, behavior of statefinder diagnostic pairs $(r,s^*)$ and $(r,q)$, and Om(z) diagnostic trajectories. Our analysis demonstrates that the current cosmic expansion exhibits accelerated behavior, with the dark energy component manifesting quintessence-like properties in the present epoch while trending toward phantom behavior in future evolution. We additionally evaluate the viability of both BADE and NBADE frameworks through an examination of the squared sound speed ($v_s^2$) stability criterion. The cumulative evidence suggests that these models effectively characterize contemporary cosmic evolution while offering novel perspectives on dark energy phenomenology.
Exploring the Theoretical Framework of Einstein-Aether Gravity Theory and Dark Energy Paradigms: A Roadmap for the Future
Introduction
In this comprehensive investigation, we delve into the theoretical framework of Einstein-Aether gravity theory combined with two novel cosmological paradigms: Barrow Agegraphic Dark Energy (BADE) and its newer variant, New Barrow Agegraphic Dark Energy (NBADE). Our study aims to derive the functional relationships within Einstein-Aether gravity as influenced by these dark energy formulations. By rigorously constraining the parameter space through statistical analysis and employing multiple observational datasets, including cosmic chronometers (CC), Baryon Acoustic Oscillations (BAO), and the Pantheon+SH0ES compilation, we aim to provide valuable insights into cosmography, dark energy equation of state, density parameter evolution, dynamical characteristics, and statefinder diagnostic pairs.
Optimized Parameter Sets and Cosmological Indicators
Based on our optimized parameter sets, we conduct an extensive analysis of fundamental cosmological indicators. These indicators include:
- Cosmographic parameter evolution
- Dark energy equation of state parameter ($omega_{DE}$)
- Evolution of the density parameter $Omega(z)$
- Dynamical characteristics in the $omega’_{DE}-omega_{DE}$ space
- Behavior of statefinder diagnostic pairs $(r,s^*)$ and $(r,q)$
- Om(z) diagnostic trajectories
Through this analysis, we aim to gain a deeper understanding of the current behavior of cosmic expansion and the nature of dark energy. Our findings suggest that the current cosmic expansion demonstrates accelerated behavior and that the dark energy component exhibits quintessence-like properties in the present epoch, trending towards phantom behavior in future evolution.
Viability Assessment of BADE and NBADE Frameworks
Furthermore, we examine the viability of both BADE and NBADE frameworks by evaluating the squared sound speed ($v_s^2$) stability criterion. This assessment will provide insights into the stability and consistency of these frameworks within the context of contemporary cosmic evolution.
Challenges and Opportunities on the Horizon
While our study presents significant progress in understanding the theoretical framework of Einstein-Aether gravity theory and its interaction with dark energy paradigms, several challenges and opportunities lie ahead:
- Data Limitations: The accuracy and availability of observational datasets play a crucial role in constraining the parameter space and obtaining reliable results. Improvements in observational techniques and the acquisition of more precise data will enhance the accuracy of future analyses.
- Additional Dark Energy Models: Exploring other dark energy models and their implications within the Einstein-Aether gravity framework can provide a more comprehensive understanding of dark energy phenomenology.
- Validation through Future Observations: Upcoming observational missions, such as the James Webb Space Telescope (JWST) and the Euclid mission, hold tremendous potential for validating and further refining our theoretical models. Incorporating data from these missions will enhance the credibility of our findings.
Conclusion
Our study contributes to the existing knowledge of Einstein-Aether gravity theory and dark energy paradigms by presenting an in-depth analysis of the theoretical framework, optimized parameter sets, and cosmological indicators. The quintessence-like behavior of dark energy in the present epoch and its transition towards phantom behavior in the future highlight the importance of understanding and characterizing dark energy. However, future advancements in data accuracy, exploration of alternative dark energy models, and validation through upcoming observational missions will pave the way for more comprehensive and precise understanding of contemporary cosmic evolution and dark energy phenomenology.