An Accelerating Universe without Lambda: Delta~Gravity Using Monte Carlo

Abstract

A gravitational field model based on two symmetric tensors, $g_{\mu \nu }$ and ${\tilde{g}}_{\mu \nu }$, is studied, using a Markov Chain Monte Carlo (MCMC) analysis with the most updated catalog of SN-Ia. In this model, new matter fields are added to the original matter fields, motivated by an additional symmetry ($\tilde{\delta }$~symmetry). We call them $\tilde{\delta }$ matter fields. This theory predicts an accelerating Universe without the need to introduce a cosmological constant $\Lambda$ by hand in the equations. We obtained a very good fit to the SN-Ia Data, and with this, we found the two free parameters of the theory called $C$ and $L_2$. With these values, we have fixed all the degrees of freedom in the model. The last $H_0$ local value measurement is in tension with the CMB Data from Planck. Based on an absolute magnitude $M_V=-19.23$ for the SN, Delta Gravity finds $H_0$ to be $74.47\pm 1.63$ km/(s Mpc). This value is in concordance with the last measurement of the $H_0$ local value, $73.83\pm 1.48$ km/(s Mpc).

arXiv commentlatex, 27 pages,15 figures

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Cited by in corpus (3)

• Can the $H_0$ tension be resolved in extensions to $\Lambda$CDM cosmology?
• Observational constraints in Delta Gravity: CMB and supernovas
• Optical theorem and indefinite metric in $\lambda {\varphi }^4$ delta-theory