Pre-geometric Einstein-Cartan Field Equations and Emergent Cosmology

Abstract

The field equations of pre-geometric theories of gravity are derived and analysed, both without and with matter. After the spontaneous symmetry breaking that reduces the gauge symmetry of these theories à la Yang-Mills, a metric structure for spacetime emerges and the field equations recover both the Einstein and the Cartan field equations for gravity. A first exact solution of the pre-geometric field equations is also presented. This solution can be considered as a pre-geometric de Sitter universe and provides a possible resolution for the problem of the Big Bang singularity.

Version accepted in PRD

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Cited by in corpus (4)

• Hamiltonian Analysis of Pre-geometric Gravity
• $\mathcal{H}$olographic $\mathcal{N}$aturalness and Pre-Geometric Gravity
• $\mathcal{H}$olographic $\mathcal{N}$aturalness and Information See-Saw Mechanism for Neutrinos
• Emergence of Gravity's Dynamical and Topological Sectors from Pre-geometry