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Is the cosmological constant of topological origin?

M. Le Delliou, J. Lorca Espiro

The observed value of the cosmological constant poses large theoretical problems. We find that topology of the Universe provides a natural source for it. Restricting dynamically an Einstein–Cartan gravity to General Relativity in our observed Universe allows topological invariants to induce an effective cosmological constant from dynamical quintessence-like topological fields. Its evaluation through the boundary of black holes yields a range compatible with the observed value, with uncertainty of three orders of magnitude. In turns, it provides a measurement of the Universe’s isoperimetric constant. As in other dark energy studies, quantum vacuum energy corrections are left for quantum gravity studies to explain away.

General Relativity and Quantum Cosmology

Physics of the Dark Universe
Volume 29
2020 September

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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