Cosmographic analysis of redshift drift

Abstract

Redshift drift is the phenomenon whereby the observed redshift between an emitter and observer comoving with the Hubble flow in an expanding FLRW universe will slowly evolve -- on a timescale comparable to the Hubble time. There are nevertheless serious astrometric proposals for actually observing this effect. We shall however pursue a more abstract theoretical goal, and perform a general cosmographic analysis of this effect, eschewing (for now) dynamical considerations in favour of purely kinematic symmetry considerations and Taylor series expansions based on FLRW spacetimes. We shall develop various exact results and series expansions for the redshift drift (and its derivative) in terms of the present day Hubble, deceleration, jerk, snap, crackle, and pop parameters, as well as the present day redshift of the source. In particular, potential observation of this redshift drift effect is intimately related to the universe exhibiting a nonzero deceleration parameter.

V1: 24 pages. V2: 25 pages, 2 references added, no physics changes; V3: Now 24 Pages; this version closely resembles the final published version. (Reformatted; some discussion added; several references added.)

References in corpus (13)

• Extended Gravity Cosmography
• Cosmic dynamics in the era of Extremely Large Telescopes
• The Hubble series: Convergence properties and redshift variables
• Time drift of cosmological redshifts as a test of the Copernican principle
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Mapping the Cosmological Expansion
• Cosmographic Hubble fits to the supernova data
• Cosmic Jerk, Snap and Beyond
• Connecting early and late epochs by f(z)CDM cosmography
• Redshift Drift in LTB Void Universes
• Another look at redshift drift and the backreaction conjecture
• Time drift of cosmological redshifts and its variance
• Forecasts of redshift drift constraints on cosmological parameters

Cited by in corpus (22)

• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Cosmographic view on the $H_0$ and ${\sigma }_8$ tensions
• Redshift drift cosmography with ELT and SKAO measurements
• Redshift drift cosmography for model-independent cosmological inference
• Constraining minimally extended varying speed of light by cosmological chronometers
• Diagnostic and Comparative Analysis of Dark Energy Models with $q(z)$ Parametrizations
• High-redshift cosmography with a possible cosmic distance duality relation violation
• From Hubble to Snap Parameters: A Gaussian Process Reconstruction
• Redshift drift in a universe with structure I: Lemaitre-Tolman-Bondi structures with arbitrary angle of entry of light
• Toward a direct measurement of the cosmic acceleration: the first preparation with FAST
• Cosmography from well-localized Fast Radio Bursts
• Determination of the Kinematic Parameters from SNe Ia and Cosmic Chronometers
• Redshift drift in a universe with structure II: Light rays propagated through a Newtonian N-body simulation
• Effect of Peak Absolute Magnitude of Type Ia Supernovae and Sound Horizon Values on Hubble Tension using DESI results
• Characterizing the equivalence between dark energy and radiation using gamma-ray bursts
• Algebraic symmetries of the observables on the sky: Variable emitters and observers
• A semi-cosmographic approach to study cosmological evolution in phase space
• Dynamical analysis of the redshift drift in FLRW universes
• Kinematic reconstruction of torsion as dark energy in Friedmann cosmology
• The spacetime geodesy of perfect fluid spheres
• The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
• Cosmological sudden singularities in $f(R,T)$ gravity