Testing $f(Q, T)$ gravity models that reduce to $Lambda CDM$. (arXiv:2104.14065v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Najera_A/0/1/0/all/0/1">Antonio Nájera</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Fajardo_A/0/1/0/all/0/1">Amanda Fajardo</a>
We tested four $f(Q,T)$ models in an extension of symmetric teleparallel
gravity whose Friedmann equations reduce to $Lambda CDM$ for certain
parameters. Using low-redshift data we found that all our models were 2$sigma$
consistent with $Lambda CDM$ and the Hubble constant value were $sigma$
consistent with the one of the SH0ES collaboration and at $12sigma$ tension
with the one of the Planck Collaboration. To see whether one of our models can
challenge $Lambda CDM$ at a background perspective, we computed the Bayesian
evidence for our four models and $Lambda CDM$. The concordance model was
preferred over all our $f(Q,T)$ alternate models, showing a weak preference
against models $f(Q,T) = -Q/G_N + bT$ and $-(Q+2Lambda)/G_N + bT$ and a
substantial preference against models $f(Q,T) =
-(Q+2H_0c(Q/(6H_0^2))^{n+1})/G_N + bT$ and $f(Q,T) =
-(Q+2H_0c(Q/(6H_0^2))^{n+1} + 2Lambda)/G_N + bT$. Our models were successful
to reproduce $Lambda CDM$ acceleration from low redshifts.
We tested four $f(Q,T)$ models in an extension of symmetric teleparallel
gravity whose Friedmann equations reduce to $Lambda CDM$ for certain
parameters. Using low-redshift data we found that all our models were 2$sigma$
consistent with $Lambda CDM$ and the Hubble constant value were $sigma$
consistent with the one of the SH0ES collaboration and at $12sigma$ tension
with the one of the Planck Collaboration. To see whether one of our models can
challenge $Lambda CDM$ at a background perspective, we computed the Bayesian
evidence for our four models and $Lambda CDM$. The concordance model was
preferred over all our $f(Q,T)$ alternate models, showing a weak preference
against models $f(Q,T) = -Q/G_N + bT$ and $-(Q+2Lambda)/G_N + bT$ and a
substantial preference against models $f(Q,T) =
-(Q+2H_0c(Q/(6H_0^2))^{n+1})/G_N + bT$ and $f(Q,T) =
-(Q+2H_0c(Q/(6H_0^2))^{n+1} + 2Lambda)/G_N + bT$. Our models were successful
to reproduce $Lambda CDM$ acceleration from low redshifts.
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