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Testing viable f(R) models with the angular-diameter distance to compact quasar cores.
Joseph Sultana1, Fulvio Melia2, Demosthenes Kazanas3
1Department of Mathematics, Faculty of Science, University of Malta, Msida MSD2080, Malta.
We analyzed f(R) gravity models as alternatives to dark energy. By calculating the redshift of maximum angular diameter distance (z_max), we found most models align with observations, offering a new way to test modified gravity theories.
Area of Science:
- Cosmology and astrophysics
- Modified gravity theories
- General Relativity
Background:
- Dark energy is a hypothetical form of energy believed to permeate all of space.
- f(R) gravity models offer an alternative to dark energy within modified gravity theories.
- The angular diameter distance (d_A) is a key cosmological observable.
Purpose of the Study:
- To compute the redshift (z_max) where angular diameter distance (d_A) reaches its maximum for popular f(R) models.
- To compare these theoretical predictions with the observed z_max value (1.70 ± 0.20).
- To test the viability of f(R) models against standard Lambda Cold Dark Matter (ΛCDM) cosmology.
Main Methods:
- Calculating z_max for various f(R) gravity models.
- Comparing model predictions with the model-independent measurement of z_max from compact quasar cores.
- Quantifying observational differences between f(R) models and ΛCDM.
Main Results:
- Most popular f(R) models are consistent with the observed z_max within 1-sigma.
- The turning point z_max provides a method to differentiate between f(R) models and ΛCDM.
- The Hu-Sawicki f(R) model exacerbates the tension between ΛCDM predictions and observations, while the Starobinky model reduces it.
Conclusions:
- The z_max measurement offers a powerful tool for testing and prioritizing alternative gravity theories.
- f(R) models show varying degrees of success in mitigating cosmological tensions.
- Future improvements in measurement precision will further refine our ability to distinguish between modified gravity scenarios.
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