Could Very Large Scale Gravitationally Infalling Regions Cause the Value of the Universal Deceleration Parameter Measured from Standard Candles to be Too Large?

Mathematics – Logic

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Scientific paper

Recent observational determinations of the universal deceleration parameter using very distant Type Ia supernovae as standard candles have found that the expansion rate of the universe appears to be accelerating (i.e. that the deceleration parameter is negative). Much effort has been devoted to finding possible sources of systematic error which might cause the measured value of the deceleration parameter to be less than the actual value. We present here a possible source of systematic error which would act in the reverse manner: serving to make the measured value of the deceleration parameter greater than the true value. This would imply an even greater rate of acceleration for the universe. If the universe is divided into many very large scale regions of gravitational infall, then matter within the nearer sides of these regions infalls in a direction away from the Milky Way while matter on the more distant sides infalls toward us. If the statistical completeness of a sample of standard candles used to measure the deceleration parameter decreases significantly with increasing distance, then more of the standard candles would have peculiar velocities which would add to their measured redshifts. Since the cosmological redshifts would be less than the measured values, the deceleration rate of the universe would be overestimated (or, equivalently, the rate of any acceleration would be underestimated). We explore the possible significance of this effect on surveys in which the standard candles used are near the limits of detection.

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