TeVeS/MOND is in harmony with gravitational redshifts in galaxy clusters

Abstract

Wojtak, Hansen and Hjorth have recently claimed to confirm general relativity and to rule out the tensor-vector-scalar (TeVeS) gravitational theory based on an analysis of the gravitational redshifts of galaxies in 7800 clusters. But their ubiquitous modeling of the sources of cluster gravitational fields with Navarro-Frenk-White mass profiles is neither empirically justified out to the necessary radii in clusters, nor germane in the case of TeVeS. Using MONDian isothermal sphere models consistently constructed within MOND (equivalent to TeVeS models), we can fit the determined redshifts no worse than does general relativity with dark halos. Wojtak, Hansen and Hjorth's work is further marred by confusion between the primitive mu-function of TeVeS and the MOND interpolation function.

7 pages, 2 pdf figures

References in corpus (4)

• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• The Tensor-Vector-Scalar theory and its cosmology
• Gravitational redshift of galaxies in clusters as predicted by general relativity
• Marriage à-la-MOND: Baryonic dark matter in galaxy clusters and the cooling flow puzzle

Cited by in corpus (15)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Testing General Relativity in Cosmology
• A general class of gravitational theories as alternatives to dark matter where the speed of gravity always equals the speed of light
• Physical laboratory at the center of the Galaxy
• Measuring Gravitational Redshifts in Galaxy Clusters
• Gravity theories, Transverse Doppler and Gravitational Redshifts in Galaxy Clusters
• Gravitational redshift profiles in the $f(R)$ and symmetron models
• Measuring bulk motion of X-ray clusters via the kinematic Sunyaev-Zeldovich effect: summarizing the "dark flow" evidence and its implications
• MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling
• MOND as the weak field limit of an extended metric theory of gravity with torsion
• A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity
• Hubble Constant, Lensing, and Time Delay in Relativistic MOND
• The Tully-Fisher's law and Dark Matter effects derived via modified symmetries
• On the problem of deformed spherical systems in Modified Newtonian Dynamics
• Searching for MOND in scalar-tensor theories of gravity