Testing Schouten--Codazzi Gravity: Cosmological Constraints and Deviations from ΛCDM
Abstract
Schouten--Codazzi gravity (SCG) admits a cosmological background that extends flat ΛCDM by one integration constant, γ0. Its contribution to the Friedmann equation scales as (1+z) and corresponds to an effective component with equation of state wγ0=−2/3. We constrain this extension using 15 combinations of Type~Ia supernovae, DESI~DR2 baryon acoustic oscillations, and compressed cosmic microwave background information, supplemented by a big-bang nucleosynthesis prior as specified in the analysis. Supernovae paired with either BAO or CMB favor positive Ωγ0≡γ0/H02, with approximate marginal departures from zero of $1.7−−3.2σ$. In contrast, all three supernovae+BAO+CMB combinations are consistent with Ωγ0=0 within their 68\% credible intervals. Their central log Bayes factors favor ΛCDM, with Δln𝒵 between −2.54 and −1.13, and the inferred Hubble constants remain close to those of the corresponding ΛCDM fits. These results provide a background-level test of SCG conditional on the adopted priors and likelihood approximations, particularly the model assumptions entering the CMB compression.
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BibTeX
@misc{fontanet2026testing,
title = {{Testing Schouten--Codazzi Gravity: Cosmological Constraints and Deviations from $Λ$CDM}},
author = {Andoni Fontanet and Andrea Valencia and Shahnawaz A. Adil and Sebastián Nájera and Roberto A. Sussman and J. Alberto Vázquez and Juan Carlos Hidalgo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36002},
eprint = {2610.36002},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36002},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Testing Schouten--Codazzi Gravity: Cosmological Constraints and Deviations from ΛCDM
AU - Andoni Fontanet
AU - Andrea Valencia
AU - Shahnawaz A. Adil
AU - Sebastián Nájera
AU - Roberto A. Sussman
AU - J. Alberto Vázquez
AU - Juan Carlos Hidalgo
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36002
UR - https://arxiv.org/abs/2610.36002
AB - Schouten--Codazzi gravity (SCG) admits a cosmological background that extends flat ΛCDM by one integration constant, γ_0. Its contribution to the Friedmann equation scales as (1+z) and corresponds to an effective component with equation of state w_γ_0=−2/3. We constrain this extension using 15 combinations of Type~Ia supernovae, DESI~DR2 baryon acoustic oscillations, and compressed cosmic microwave background information, supplemented by a big-bang nucleosynthesis prior as specified in the analysis. Supernovae paired with either BAO or CMB favor positive Ω_γ_0≡γ_0/H_0^2, with approximate marginal departures from zero of $1.7−−3.2σ$. In contrast, all three supernovae+BAO+CMB combinations are consistent with Ω_γ_0=0 within their 68\% credible intervals. Their central log Bayes factors favor ΛCDM, with Δln𝒵 between −2.54 and −1.13, and the inferred Hubble constants remain close to those of the corresponding ΛCDM fits. These results provide a background-level test of SCG conditional on the adopted priors and likelihood approximations, particularly the model assumptions entering the CMB compression.
ER -