Time drift of cosmological redshifts as a test of the Copernican principle

Abstract

We present the time drift of the cosmological redshift in a general spherically symmetric spacetime. We demonstrate that its observation would allow us to test the Copernican principle and so determine if our universe is radially inhomogeneous, an important issue in our understanding of dark energy. In particular, when combined with distance data, this extra observable allows one to fully reconstruct the geometry of a spacetime describing a spherically symmetric under-dense region around us, purely from background observations.

4 pages. Version matching the published text in PRL

References in corpus (8)

• The acceleration of the universe and the physics behind it
• Constraints on a New Post-General Relativity Cosmological Parameter
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• The supernova Hubble diagram for off-center observers in a spherically symmetric inhomogeneous universe
• Exploring the Dark Energy Redshift Desert with the Sandage-Loeb Test
• Mapping Luminosity-Redshift Relationship to LTB Cosmology
• Inhomogeneous spacetimes as a dark energy model
• Time drift of cosmological redshifts and its variance

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