Exploring holographic dark energy model with Sandage-Loeb test

TL;DR

This paper investigates how the Sandage-Loeb test can constrain holographic dark energy models by analyzing redshift evolution and introduces a new method involving the peak redshift velocity to improve parameter constraints.

Contribution

It demonstrates the potential of the Sandage-Loeb test to tightly constrain cosmological parameters and proposes a novel approach using the peak redshift velocity for better model discrimination.

Findings

Sandage-Loeb test strongly constrains _m^0.

Constraint on  is weak.

New method using z_{max} can improve parameter estimation.

Abstract

Taking into account that Sandage-Loeb test is unique in its coverage of the redshift desert and available in the near future, we explore the cosmic time evolution behavior of the source redshift for holographic dark energy model, an important competing cosmological model. As a result, we find that Sandage-Loeb test can provide a extremely strong bound on $\Omega^0_m$, while its constraint on another dimensionless parameter $\lambda$ is weak. In addition, it is proposed here for the first time that we can also constrain various cosmological model by measuring the value of $z_{max}$ at which the peak of redshift velocity occurs. Combining this new proposed method with the traditional Sandage-Loeb test, we should be able to provide a better constraint on $\lambda$, at least from the theoretical perspective.