Gaussian Process Approach for Model-Independent Reconstruction of f(Q) Gravity with Direct Hubble Measurements
arxiv(2024)
Abstract
The increase of discrepancy in the standard procedure to choose the arbitrary
functional form of the Lagrangian f(Q) motivates us to solve this issue in
modified theories of gravity. In this regard, we investigate the Gaussian
process (GP), which allows us to eliminate this issue in a f(Q)
model-independent way. In particular, we use the 57 Hubble measurements coming
from cosmic chronometers and the radial Baryon acoustic oscillations (BAO) to
reconstruct H(z) and its derivatives H'(z), H”(z), which resulting lead
us to reconstruct region of f(Q), without any assumptions. The obtained mean
curve along ΛCDM constant in the reconstructed region follows a
quadratic behavior. This motivates us to propose a new f(Q) parametrization,
i.e., f(Q)= -2Λ+ ϵ Q^2, with the single parameter ϵ,
which signifies the deviations from ΛCDM cosmology. Further, we probe
the widely studied power-law and exponential f(Q) models against the
reconstructed region and can improve the parameter spaces significantly
compared with observational analysis. In addition, the direct Hubble
measurements, along with the reconstructed f(Q) function, allow the H_0
tension to be alleviated.
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