Forecast and analysis of the cosmological redshift drift

Area of Science:

• Cosmology
• Astrophysics

Background:

• Cosmological redshift drift, also known as the Sandage-Loeb (SL) effect, presents a novel avenue for high-precision cosmic geometry observations.
• It serves as a direct and potentially irrefutable test for cosmic acceleration, a key phenomenon in modern cosmology.

Purpose of the Study:

• To evaluate the viability and constraining power of the Sandage-Loeb test.
• To compare the efficacy of the SL test against future mock data from Type Ia Supernovae (SNe) and Baryon Acoustic Oscillations (BAO).
• To assess the performance of these cosmological probes in testing various cosmological models.

Main Methods:

• Generation of a model-independent mock data set for the Sandage-Loeb test.
• Analysis using the Markov chain Monte Carlo (MCMC) method to test cosmological models.
• Independent and combined analysis of SL, SNe, and BAO data sets.

Main Results:

• Sandage-Loeb test data generally provide remarkable constraints on the matter density parameter ($\Omega_m$).
• The SL test demonstrates significant complementarity with SNe and BAO data, particularly for constraining dark energy parameters.
• Combined analyses enhance the overall precision of cosmological parameter estimation.

Conclusions:

• The Sandage-Loeb test is a powerful tool for precision cosmology, offering unique insights into cosmic acceleration.
• Combining SL data with SNe and BAO observations is crucial for a comprehensive understanding of dark energy and the universe's geometry.
• Future cosmological surveys incorporating redshift drift measurements will significantly advance our knowledge of cosmic expansion.