https://doi.org/10.1140/epjc/s10052-015-3405-x
Regular Article - Theoretical Physics
Black holes in modified gravity (MOG)
1
Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada
2
Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
* e-mail: jmoffat@perimeterinstitute.ca
Received:
11
February
2015
Accepted:
8
April
2015
Published online:
29
April
2015
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 
with two horizons. The strength of the gravitational constant is 
where 
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 , the parameter and the spin angular momentum 
. 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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
