Constrain the linear scalar perturbation theory of Cotton gravity

Abstract

We perform a cosmological test of Cotton gravity, which describes gravity by cotton tensor. We assume in Cotton gravity the background evolution is the same as the flat FLRW background. We derive the cosmological perturbation theory of the scalar mode at the linear level, where the difference from the $\Lambda$CDM model is characterized by the parameter $\beta$. We incorporate Cotton gravity with a neutrino model and perform a Monte Carlo Markov Chain (MCMC) analysis using data from the Cosmic Microwave Background (CMB) and Sloan Digital Sky Survey (SDSS). The analysis constrains parameter $\beta =-0.00008_{-0.00104}^{+0.00080}$ at the 1-$\sigma$ confidence level. We conclude that currently, there is no obvious deviation between Cotton gravity and the $\Lambda$CDM model in the linear cosmological perturbation level for observations.

13 pages, 15 figures

References in corpus (14)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Dark torsion as the cosmic speed-up
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• New physics from the polarised light of the cosmic microwave background
• Quintom cosmology and modified gravity after DESI 2024
• Emergence of the Cotton tensor for describing gravity
• Cosmological Constraints on sub-horizon scales modified gravity theories with MGCLASS II
• Cotton gravity and 84 galaxy rotation curves
• Codazzi tensors and their space-times, and Cotton gravity
• General spherically symmetric solution of Cotton gravity
• Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector

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