Testing Cotton gravity as dark matter substitute with weak lensing
arXiv:2405.07215 · doi:10.1007/s11433-024-2582-7
Abstract
Harada proposed a modified theory of gravity called Cotton gravity, and argued that it successfully explains the rotation curves of galaxies without the need of dark matter. In this work we use galaxy-galaxy lensing technique to test whether the modification effect of Cotton gravity can indeed be a viable substitute for dark matter. Using the spherically symmetric solution of Cotton gravity, we obtain the deflection angle via Gauss-Bonnet theorem and the weak lensing shear. We use five galaxy catalogs divided in 5 stellar mass bins from the Sloan Digital Sky Survey Data Release 7 (SDSS DR7), each of which is further divided into blue star forming galaxy and red passive galaxy sub-catalogs. We find that Cotton gravity on its own has significant deviation from the measured galaxy-galaxy lensing signals, thus it cannot replace the role of dark matter. If we consider the combination of dark matter and Cotton gravity, the modification is tightly constrained. Our analysis also applies to other modified gravity theories whose an additional linear term appears in the Schwarzschild solution.
16 pages, 3 figures
References in corpus (37)
- Relativistic gravitation theory for the MOND paradigm
- The Pantheon+ Analysis: Cosmological Constraints
- A History of Dark Matter
- Weak Gravitational Lensing of the CMB
- The Hyper Suprime-Cam SSP Survey: Overview and Survey Design
- Information criteria for astrophysical model selection
- Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
- Quintessence and black holes
- Formation of Galaxy Clusters
- Modified Newtonian Dynamics as an Alternative to Dark Matter
- Galaxy halo masses and satellite fractions from galaxy-galaxy lensing in the SDSS: stellar mass, luminosity, morphology, and environment dependencies
- CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey
- Strong and weak lensing united III: Measuring the mass distribution of the merging galaxy cluster 1E0657-56
- Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case
- Cold gas properties of the Herschel Reference Survey. III. Molecular gas stripping in cluster galaxies
- Fitting the radial acceleration relation to individual SPARC galaxies
- The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
- Pseudo Elliptical Lensing Mass Model: Application to the NFW Mass Distribution
- MOND theory
- A class of black holes in dRGT massive gravity and their thermodynamical properties
- Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
- Weak Lensing by Galaxies in Groups and Clusters: I.--Theoretical Expectations
- Light Deflection and Gauss-Bonnet Theorem: Definition of Total Deflection Angle and its Applications
- Weak-Lensing Mass Calibration of ACTPol Sunyaev-Zel'dovich Clusters with the Hyper Suprime-Cam Survey
- FIR colours and SEDs of nearby galaxies observed with Herschel
- Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime
- Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity
- Deflection angle and lensing signature of covariant f(T) gravity
- New test on general relativity and torsional gravity from galaxy-galaxy weak lensing surveys
- Emergence of the Cotton tensor for describing gravity
- Particle motions and Gravitational Lensing in de Rham-Gabadadze-Tolley Massive Gravity Theory
- Cotton gravity and 84 galaxy rotation curves
- Codazzi tensors and their space-times, and Cotton gravity
- Galaxy-Galaxy Weak Lensing Measurements from SDSS: I. Image Processing and Lensing signals
- General spherically symmetric solution of Cotton gravity
- A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
- Emergent gravity fails to explain color-dependent galaxy-galaxy lensing signals from SDSS Dr7