MOND as the weak field limit of an extended metric theory of gravity with torsion

Abstract

In this article we construct a relativistic extended metric theory of gravity, for which its weak field limit reduces to the non-relativistic MOdified Newtonian Dynamics regime of gravity. The theory is fully covariant and the way to achieve this is to introduce torsion in the description of gravity as well as with the addition of a particular function of the matter lagrangian into the gravitational action.

10 pages

References in corpus (8)

• f(R,T) gravity
• $f(T,\mathcal{T})$ gravity and cosmology
• Bimetric MOND gravity
• The Tensor-Vector-Scalar theory and its cosmology
• f(R) Gravity with Torsion: The Metric-Affine Approach
• Measurement of pseudorapidity distributions of charged particles in proton-proton collisions at sqrt(s) = 8 TeV by the CMS and TOTEM experiments
• f(R) cosmology with torsion
• Relativistic MOND from Modified Energetics

Cited by in corpus (7)

• Metric-affine f(R,T) theories of gravity and their applications
• Noncovariance at low accelerations as a route to MOND
• A Test of MONDian Gravity in $\sim$300 pressure supported elliptical galaxies from the MaNGA survey
• MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling
• Non-vacuum relativistic extensions of MOND using metric theories of gravity with curvature-matter couplings and their applications to the accelerated expansion of the Universe without dark components
• Searching for MOND in scalar-tensor theories of gravity
• Central MONDian spike in spherically symmetric systems