Non-Canonical Volume-Form Formulation of Modified Gravity Theories and Cosmology

Abstract

A concise description is presented of the basic features of the formalism of non-canonical spacetime volume-forms and its application in modified gravity theories and cosmology. The well known unimodular gravity theory appears as a very special case. Concerning the hot issues facing cosmology now, we specifically briefly outline the construction of: (a) unified description of dark energy and dark matter as manifestations of a single material entity -- a special scalar field "darkon"; (b) quintessential models of universe evolution with a gravity-"inflaton"-assisted dynamical Higgs mechanism -- dynamical suppression/generation of spontaneous electroweak gauge symmetry breaking in the "early"/"late" universe; (c) unification of dark energy and dark matter with diffusive interaction among them; (d) mechanism for suppression of 5-th force without fine-tuning.

Accepted review in EPJ Plus. arXiv admin note: text overlap with arXiv:1905.09933

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• Modified Measures as an Effective Theory for Causal Fermion Systems
• Extension of unimodular gravity and the cosmological constant
• Unified Dark Energy and Dark Matter from Dynamical Spacetime Cosmology
• Possible relationship between initial conditions for inflation and past geodesic incompleteness of the inflationary spacetime
• Perturbations and stability conditions of k-essence and kinetic gravity braiding models in two-field measure theory
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