Model-independent reconstruction of cosmological accelerated-decelerated phase
Capozziello S. Dunsby P.K.S. Luongo O.
1 February 2022Oxford University Press
Monthly Notices of the Royal Astronomical Society
2022#509Issue 45399 - 5415 pp.
We propose two model-independent methods to obtain constraints on the transition and equivalence redshifts, ztr and zeq, respectively. In particular, we consider ztr as the onset of cosmic acceleration, whereas zeq the redshift at which the densities of dark energy and pressureless matter are equated. With this prescription, we expand the Hubble and deceleration parameters up to two hierarchical orders and show a linear correlation between transition and equivalence, from which we propose exclusion plots where zeq is not allowed to span. To this end, we discuss how to build up cosmographic expansions in terms of ztr and compute the corresponding observable quantities by directly fitting the luminosity and angular distances and the Hubble rate with cosmic data. We make our computations through Monte Carlo fits involving Type Ia supernova, baryonic acoustic oscillation, and Hubble most recent data catalogues. We show that at 1σ confidence level the Lambda cold dark matter predictions on ztr and zeq are slightly confirmed, although at 2σ confidence level dark energy expectations cannot be excluded. Finally, we theoretically interpret our outcomes and discuss possible limitations of our overall approach.
cosmography , equivalence redshift , transition redshift
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Dipartimento di Fisica E. Pancini, Università di Napoli Federico II, Via Cinthia, Napoli, I-80126, Italy
Scuola Superiore Meridionale, Largo S. Marcellino 10, Napoli, I-80138, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cinthia, Napoli, I-80126, Italy
Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, 634050, Russian Federation
Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South Africa
Astrophysics Cosmology and Gravity Centre (ACGC), University of Cape Town, Rondebosch 7701, Cape Town, South Africa
South African Astronomical Observatory, Observatory 7925, Cape Town, South Africa
School of Science and Technology, University of Camerino, Via Madonna delle Carceri 9, Camerino, I-62032, Italy
Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, Pisa, I-56127, Italy
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Dipartimento di Fisica E. Pancini
Scuola Superiore Meridionale
Istituto Nazionale di Fisica Nucleare (INFN)
Laboratory of Theoretical Cosmology
Department of Mathematics and Applied Mathematics
Astrophysics Cosmology and Gravity Centre (ACGC)
South African Astronomical Observatory
School of Science and Technology
Dipartimento di Matematica
Institute of Experimental and Theoretical Physics
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