Cosmological piecewise functions to treat the local Hubble tension
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Circuito Exterior C.U., 04510, México D.F., Mexico
Accepted: 16 June 2022
Published online: 15 July 2022
The current cosmic time evolution of the Universe is described by the General Theory of Relativity when a cosmological principle is considered under a flat space time landscape. The set of known as Friedmann equations, contain the principles that lead to the construction of the standard model. However, the current state-of-art regarding these equations, even if it is a fundamental method, is based in solving analytically the differential equations by considering several forms of matter/energy components or evaluating them in specific cosmic times where two or more components contribute at the same rate. This latter can be carry out through the approach of piecewise solutions, whose reduce the numerical integrals. In this paper we discuss new solutions through special analytical functions and constraint them with an updated compilation of observational Hubble observations in order to deal with the local tension reported.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022