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

Abstract

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. This is analyzed for different types of matter and dark energy with a constant equation of state. While for a radiation dominated universe solution the cosmology does not change, we find for a dark energy universe the well known de-Sitter space. However, we also identify a special bouncing solution (for $k=0$) which for large times approaches the de-Sitter space again. For a dust dominated universe (with no pressure) deviations are seen only in the early epoch. In the late epoch, the solution asymptotically behaves like the standard dust solution.

arXiv commentpublished in Modern Physics Letters A

References in corpus (7)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Cosmic Evolution in a Cyclic Universe
• A Cyclic Model of the Universe
• Cosmological dynamics with propagating Lorentz connection modes of spin zero
• Importance of torsion and invariant volumes in Palatini theories of gravity
• Canonical Transformation Path to Gauge Theories of Gravity
• On the cosmological constant in the deformed Einstein-Cartan gauge gravity in De Donder-Weyl Hamiltonian formulation

Cited by in corpus (7)

• Dark energy and inflation invoked in CCGG by locally contorted space-time
• Dynamically Generated Inflationary Lambda-CDM
• Covariant Canonical Gauge Gravitation and Cosmology
• Low-Redshift Constraints on Covariant Canonical Gauge Theory of Gravity
• Rigorous derivation of dark energy and inflation as geometry effects in Covariant Canonical Gauge Gravity
• Unified Dark Energy and Dark Matter from Dynamical Spacetime Cosmology
• Gauge theory of Gravity based on the correspondence between the $1^{st}$ and the $2^{nd}$ order formalisms