On the Dark-Energy Enigma
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Date
2025-12
Publication Type
Journal Article
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yes
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Abstract
A model is presented that provides an explanation for the presence of (Dark Matter and) Dark Energy in the universe. A key idea is to express the volume form of the Lorentzian metric on space–time in terms of a positive function of a new scalar field multiplying a certain four-form given by the wedge product of the differential of the mimetic scalar field and a certain closed three-form. An ansatz for this three-form related to one commonly used to determine the winding number of a map from a three-dimensional hypersurface to a three-sphere is discussed. An action functional depending on the space–time metric, the new scalar field, the mimetic scalar and the three-form is proposed, and the field equations are derived. Special solutions of these equations for a Friedmann–Lemaître universe are presented.
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published
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Volume
73 (12)
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Publisher
Wiley-VCH
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Subject
Cosmology; Quantum Gravity; Topological Invariants