Data reconstruction of the dynamical connection function in f(Q) cosmology
arxiv(2024)
摘要
We employ Hubble data and Gaussian Processes in order to reconstruct the
dynamical connection function in f(Q) cosmology beyond the coincident gauge.
In particular, there exist three branches of connections that satisfy the
torsionless and curvatureless conditions, parameterized by a new dynamical
function γ. We express the redshift dependence of γ in terms of
the H(z) function and the f(Q) form and parameters, and then we reconstruct
it using 55 H(z) observation data. Firstly, we investigate the case where
ordinary conservation law holds, and we reconstruct the f(Q) function, which
is very well described by a quadratic correction on top of Symmetric
Teleparallel Equivalent of General Relativity. Proceeding to the general case,
we consider two of the most studied f(Q) models of the literature, namely the
square-root and the exponential one. In both cases we reconstruct γ(z),
and we show that according to AIC and BIC information criteria its inclusion is
favoured compared to both ΛCDM paradigm, as well as to the same f(Q)
models under the coincident gauge. This feature acts as an indication that
f(Q) cosmology should be studied beyond the coincident gauge.
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