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Emergence of dark energy from topology and chiral spinors

J. Lorca Espiro, Y. Vásquez, M. Le Delliou

Abstract
Under the existence of a massless spinor with respect to the total connection in a spacetime modeled as a Lorentzian manifold with internal boundaries, such as finite volume semi-classical Black Holes, we show that a topological mechanism naturally induces terms in the Einstein-Cartan gravitational action that can be interpreted as General Relativity with dark energy This may alleviate the problems of dark energy.. The topological information is carried by a harmonic 1-form associated to the first co-holomology group of the spacetime, which induces a spacetime contortion acting on the horizontal bundle.

Keywords
Einstein-Cartan-Sciama-Kibble gravity / Topological cosmological constant / Killing massless spinor / Scalar field

Acta Applicandae Mathematicae
Volume 51, Number 102227
2026 February

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia