Modified Gravity (MOG), Cosmology and Black Holes. (arXiv:2006.12550v4 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Moffat_J/0/1/0/all/0/1">J. W. Moffat</a>
A covariant modified gravity (MOG) is formulated by adding to general
relativity two new degrees of freedom, a scalar field gravitational coupling
strength $G= 1/chi$ and a gravitational spin 1 vector field $phi_mu$. The
$G$ is written as $G=G_N(1+alpha)$ where $G_N$ is Newton’s constant, and the
gravitational source charge for the vector field is $Q_g=sqrt{alpha G_N}M$,
where $M$ is the mass of a body. Cosmological solutions of the theory are
derived in a homogeneous and isotropic cosmology. Black holes in MOG are
stationary as the end product of gravitational collapse and are axisymmetric
solutions with spherical topology. It is shown that the scalar field $chi$ is
constant everywhere for an isolated black hole with asymptotic flat boundary
condition. A consequence of this is that the scalar field loses its monopole
moment radiation.
A covariant modified gravity (MOG) is formulated by adding to general
relativity two new degrees of freedom, a scalar field gravitational coupling
strength $G= 1/chi$ and a gravitational spin 1 vector field $phi_mu$. The
$G$ is written as $G=G_N(1+alpha)$ where $G_N$ is Newton’s constant, and the
gravitational source charge for the vector field is $Q_g=sqrt{alpha G_N}M$,
where $M$ is the mass of a body. Cosmological solutions of the theory are
derived in a homogeneous and isotropic cosmology. Black holes in MOG are
stationary as the end product of gravitational collapse and are axisymmetric
solutions with spherical topology. It is shown that the scalar field $chi$ is
constant everywhere for an isolated black hole with asymptotic flat boundary
condition. A consequence of this is that the scalar field loses its monopole
moment radiation.
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