Determining $H_0$ from distance sum rule combining gamma-ray bursts with observational Hubble data and strong gravitational lensing


Summary

The Hubble constant (H0) is a crucial cosmological parameter that represents the universe's expansion rate. Different methods, including gamma-ray bursts (GRBs), observational Hubble data (OHD), and strong gravitational lensing (SGL), can be used to constrain H0. A model-independent analysis using the distance sum rule and Bézier interpolation is employed to determine H0.

Highlights

  • The Hubble constant (H0) is a fundamental parameter in cosmology.
  • Different methods, including GRBs, OHD, and SGL, can be used to constrain H0.
  • A model-independent analysis using the distance sum rule and Bézier interpolation is employed.
  • The analysis is performed using three Markov Chain Monte Carlo (MCMC) procedures.
  • The results show that the inclusion of SGL data significantly affects the bounds on H0.
  • The value of H0 is consistent with the local measurement from type Ia supernovae (SNe Ia).
  • The Hubble tension is discussed, and the results are compared with Planck Collaboration findings.

Key Insights

  • The Hubble constant (H0) is a crucial parameter in cosmology, and its value has significant implications for our understanding of the universe's expansion history and the properties of dark energy.
  • The use of GRBs as high-redshift distance indicators can provide valuable insights into the universe's expansion history, particularly when combined with other data sets, such as OHD and SGL.
  • The model-independent analysis using the distance sum rule and Bézier interpolation provides a robust method for constraining H0, as it avoids the need for a specific cosmological model.
  • The inclusion of SGL data significantly affects the bounds on H0, highlighting the importance of considering multiple data sets when constraining cosmological parameters.
  • The results show that the value of H0 is consistent with the local measurement from SNe Ia, which suggests that the Hubble tension may be due to the need for a more nuanced understanding of the universe's expansion history.
  • The Hubble tension is a significant issue in modern cosmology, and resolving it will require a better understanding of the universe's expansion history and the properties of dark energy.
  • The use of multiple data sets and model-independent analyses, such as the one employed in this study, will be crucial in resolving the Hubble tension and providing a more accurate understanding of the universe's expansion history.



Mindmap


Citation

Luongo, O., & Muccino, M. (2024). Determining $H_0$ from distance sum rule combining gamma-ray bursts with observational Hubble data and strong gravitational lensing (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.18493

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