Exact cosmological solutions for MOG

Abstract

We find some new exact cosmological solutions for the covariant scalar-tensor-vector gravity theory, the so-called MOdified Gravity (MOG). The exact solution of the vacuum field equations has been derived. Also, for non vacuum cases we have found some exact solutions with the aid of the Noether symmetry approach. More specifically, the symmetry vector and also the Noether conserved quantity associated to the point-like Lagrangian of the theory have been found. Also we find the exact form of the generic vector field potential of this theory by considering the behavior of the relevant point-like Lagrangian under the infinitesimal generator of the Noether symmetry. Finally, we discuss the cosmological implications of the solutions.

8 pages, to appear in European Physical Journal C

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Cited by in corpus (12)

• Dark matters on the scale of galaxies
• Particle Dynamics Near Kerr-MOG Black Hole
• Exact solutions for scalar field cosmology in f(R) gravity
• On the gravitational instability in the Newtonian limit of MOG
• Accretion onto a static spherically symmetric regular MOG dark compact object
• The phase space analysis of modified gravity (MOG)
• Hawking-Like Radiation as Tunneling from a Cosmological Black Hole in Modified Gravity: Semiclassical Approximation and Beyond
• Global stability of self-gravitating disks in modified gravity
• Stellar Bar evolution in the absence of dark matter halo
• Exact cosmological black hole solutions in Scalar Tensor Vector Gravity
• On the gravitational stability of the Maclaurin disk
• Accretion Process as a Probe of Extra Dimensions in MOG Compact Object Spacetimes