Speaker
Description
We show that the effective field equations for a recently formulated
polynomial affine model of gravity,
in the sector of a torsion-free connection, accept general Einstein
manifolds—with or without cosmological
constant—as solutions. Moreover, the effective field equations are
partially those obtained from a gravitational
Yang–Mills theory known as Stephenson–Kilmister–Yang theory.
Additionally, we find a generalization of a
minimally coupled massless scalar field in General Relativity within a
“minimally” coupled scalar field in this
affine model. Finally, we present a brief (perturbative) analysis of
the propagators of the gravitational theory,
and count the degrees of freedom. For completeness we prove that a
Birkhoff-like theorem is valid for the
analyzed sector.
