Black Holes in Modified Gravity (MOG)

Dec 12, 2014
14 pages
Published in:
  • Eur.Phys.J.C 75 (2015) 4, 175
  • Published: Apr 29, 2015
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Abstract: (Springer)
The field equations for scalar–tensor–vector gravity (STVG) or modified gravity (MOG) have a static, spherically symmetric black hole solution determined by the mass MM with two horizons. The strength of the gravitational constant is G=GN(1+α)G=G_N(1+\alpha ) where α\alpha is a parameter. A regular singularity-free MOG solution is derived using a nonlinear field dynamics for the repulsive gravitational field component and a reasonable physical energy-momentum tensor. The Kruskal–Szekeres completion of the MOG black hole solution is obtained. The Kerr-MOG black hole solution is determined by the mass MM , the parameter α\alpha and the spin angular momentum J=MaJ=Ma . The equations of motion and the stability condition of a test particle orbiting the MOG black hole are derived, and the radius of the black hole photosphere and the shadows cast by the Schwarzschild-MOG and Kerr-MOG black holes are calculated. A traversable wormhole solution is constructed with a throat stabilized by the repulsive component of the gravitational field.
Note:
  • 14 pages, 3 figures. Upgraded version of paper to match published version in European Physics Journal C