Redshift drift in a universe with structure I: Lemaitre-Tolman-Bondi structures with arbitrary angle of entry of light

Abstract

We consider the redshift drift and position drift associated with astrophysical sources in a formalism that is suitable for describing emitters and observers of light in an arbitrary spacetime geometry, while identifying emitters of a given null-geodesic bundle that arrives at the observer worldline. We then restrict the situation to the special case of a Lemaitre-Tolman-Bondi (LTB) geometrical structure, and solve for light rays propagating through the structure with arbitrary impact parameters, i.e., with arbitrary angles of entry into the LTB structure. The redshift drift signal emitted by comoving sources and viewed by a comoving observer turns out to be dominated by Ricci curvature and electric Weyl curvature contributions as integrated along the connecting light ray. This property simplifies the computations of the redshift drift signal tremendously, and we expect that the property extends to more complicated models including Swiss-cheese models. When considering several null rays with random impact parameters, the mean redshift drift signal is well approximated by a single Ricci focusing term. This suggests that the measurement of cosmological redshift drift can be used as a direct probe of the strong energy condition in a realistic universe where photons pass through many successive structures.

12 pages and 12 figures. v2: Rearranged figures to match published version (no changes to results or conclusions)

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Cited by in corpus (10)

• Constraining minimally extended varying speed of light by cosmological chronometers
• Cosmic backreaction and the mean redshift drift from symbolic regression
• Redshift drift in a universe with structure II: Light rays propagated through a Newtonian N-body simulation
• Redshift drift in a universe with structure III: Numerical relativity
• Algebraic symmetries of the observables on the sky: Variable emitters and observers
• Dynamical analysis of the redshift drift in FLRW universes
• Redshift Drift fluctuations from N-body simulations
• Cosmological evolution driven by polytropic fluids in an inhomogeneous spacetime
• Safely simplifying redshift drift computations in inhomogeneous cosmologies: Insights from LTB Swiss-cheese models
• Estimating constraints on cosmological parameters via the canonical and the differential redshift drift with SKA HI 21-cm observations