Energy transfer from space-time into matter and a bouncing inflation from Covariant Canonical Gauge theory of Gravity

Understand

Cosmological solutions for covariant canonical gauge theories of gravity are presented.

• The underlying covariant canonical transformation framework invokes a dynamical space-time Hamiltonian consisting of the Einstein-Hilbert term plus a quadratic Riemann tensor invariant with a fundamental dimensionless coupling constant $g_1$.
• A typical time scale related to this constant, $\tau = \sqrt{8 \pi G g_1}$, is characteristic for the type of cosmological solutions: for $t \ll \tau$ the quadratic term is dominant, the energy-momentum tensor of the matter is not covariantly conserved, and we observe modified dynamics of matter and space-time.
• On the other hand, for $t \gg \tau$, the Einstein term dominates and the solution converges to classical cosmology.