Past exam of the mathematics course of the University of Cambridge 2006 iii Paper 72 2 ii c Solution Created 2026-10-03 Updated 2026-10-14
For the specified flat matter-vacuum model,Its small-redshift behaviour is , since . At high redshift, matter dominates and , so the initially positive redshift drift must turn negative. To locate the crossing, square ; both sides are positive, so squaring introduces no positive- spurious root. Factorization givesBesides , the physical nonzero redshift-drift root in flat matter-Lambda cosmology isThe redshift drift is positive for and negative for . Its maximum satisfies and lies near , where . This zero is distinct from the acceleration transition at : redshift drift compares expansion at two epochs, while acceleration is local to one epoch.
Redshift drift in three flat cosmologies, with the positive-to-negative crossing of the matter-vacuum model
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