Probing modified gravity theories with the Sandage-Loeb test

Abstract

In this paper, we quantify the ability of a future measurement of the Sandage-Loeb test signal from the Cosmic-Dynamic-Experiment-like spectrograph to constrain some popular modified gravity theories including DGP brane-world scenario, $f(R)$ modified gravity and $f(T)$ gravity theory. We find that the Sandage-Loeb test measurements are able to break degeneracies between model parameters markedly and thus greatly improve cosmological constraints for all concerned modified gravity theories when combined with the latest observations of CMB--shift parameter. However, they yield almost the same degeneracy directions between model parameters as that from the distance ratio data derived from the latest observations of the cosmic microwave background and baryonic acoustic oscillations (CMB/BAO). Moreover, for the $f(R)$ modified gravity, the Sandage-Loeb test could provide completely different bounded regions in model parameters space as compared to CMB/BAO and thus supplement strong complementary constraints.

18 pages, 6 figures, typos corrected and three references added, to be published in Phys. Rev. D

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Cited by in corpus (21)

• Holographic Dark Energy
• Constraining dark energy with Hubble parameter measurements: an analysis including future redshift-drift observations
• What do we know about cosmography
• Method for Direct Measurement of Cosmic Acceleration by 21-cm Absorption Systems
• Probing modified gravity theories with multiple measurements of high-redshift quasars
• Redshift drift exploration for interacting dark energy
• Observational constraint on the interacting dark energy models including the Sandage-Loeb test
• Redshift drift in an inhomogeneous universe: averaging and the backreaction conjecture
• Parameter estimation with Sandage-Loeb test
• Redshift drift constraints on holographic dark energy
• Quantifying the impact of future Sandage-Loeb test data on dark energy constraints
• Redshift drift of gravitational lensing
• Toward a direct measurement of the cosmic acceleration: roadmap and forecast on FAST
• Breaking through the high redshift bottleneck of Observational Hubble parameter Data: The Sandage-Loeb signal Scheme
• Toward a direct measurement of the cosmic acceleration: the first preparation with FAST
• Forecast and analysis of the cosmological redshift drift
• Redshift drift constraints on f(T) gravity
• Revisit of constraints on dark energy with Hubble parameter measurements including future redshift drift observations
• The Cosmological Effect of CMB/BAO Measurements
• Dynamical analysis of the redshift drift in FLRW universes
• Reconciling the ACT Preference in $f(T)$ Gravity: Inflation and Reheating Constraints