Kinematic constraints on spatial curvature from supernovae Ia and cosmic chronometers

Author(s)

Jesus, J. F. ^{[1, 2]} ; Valentim, R. ^[3] ; Moraes, P. H. R. S. ^[4] ; Malheiro, M. ^[5]

Affiliation

^[1] Univ Estadual Paulista UNESP, Fac Engn, Dept Fis & Quim, Av Dr Ariberto Pereira Cunha 333, BR-12516410 Guaratingueta, SP - Brazil

^[2] Univ Estadual Paulista UNESP, Curso Engn Ind Madeireira, R Geraldo Alckmin 519, BR-18409010 Itapeva, SP - Brazil

^[3] Univ Fed Sao Paulo UNIFESP, Inst Ciencias Ambientais Quim & Farmaceut ICAQF, Dept Fis, Rua Sao Nicolau 210, BR-09913030 Diadema, SP - Brazil

^[4] Univ Sao Paulo, Inst Astron Geofis & Ciencias Atmosfer, Rua Matao 1226, BR-05508090 Sao Paulo, SP - Brazil

^[5] Inst Tecnol Aeronaut ITA, Dept Fis, BR-12228900 Sao Jose Dos Campos, SP - Brazil

• Document type: Journal article
• Source: Monthly Notices of the Royal Astronomical Society; v. 500, n. 2, p. 2227-2235, JAN 2021.
• Web of Science Citations: 4

Abstract

An approach to estimate the spatial curvature Omega(k) from data independently of dynamical models is suggested, through kinematic parametrizations of the comoving distance {[}DC(z)] with third-degree polynomial, of the Hubble parameter {[}H(z)] with a second-degree polynomial and of the deceleration parameter {[}q(z)] with first-order polynomial. All these parametrizations were done as function of redshift z. We used SNe Ia data set from Pantheon compilation with 1048 distance moduli estimated in the range 0.01 < z < 2.3 with systematic and statistical errors and a compilation of 31 H(z) data estimated from cosmic chronometers. The spatial curvature found for DC(z) parametrization was Omega(k) = -0.03(-0.30)(-0.53)(+0.24)(+0.56). The parametrization for deceleration parameter q(z) resulted in Omega(k) = -0.08(-0.27)(-0.45)(+0.21)(+0.54). The H(z) parametrization has shown incompatibilities between H(z) and SNe Ia data constraints, so these analyses were not combined. The D-C(z) and q(z) parametrizations are compatible with the spatially flat universe as predicted by many inflation models and data from cosmic microwave background. This type of analysis is very appealing as it avoids any bias because it does not depend on assumptions about the matter content of the Universe for estimating Omega(k). (AU)

• FAPESP's process: 17/05859-0 - The accelerating universe: nature and tests of dark energy and dark matter
• Grantee: José Fernando de Jesus
• Support Opportunities: Regular Research Grants
• FAPESP's process: 16/09831-0 - Neutron Stars populations: bayesian statistics tools
• Grantee: Rodolfo Valentim da Costa Lima
• Support Opportunities: Regular Research Grants