Topological invariant quintessence

2014/11/25 by Mariafelicia De Laurentis
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Einstein #Gauss–Bonnet theorem #Geometry #Invariant (physics) #Mathematical physics #Physics #Quantum gravity #Quantum mechanics #Quintessence #Ricci curvature #Riemann curvature tensor #Scalar (mathematics) #Scalar curvature #Theoretical physics #Topology (electrical circuits) #astro-ph.GA #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1142/s0217732315500698

published as Mod. Phys. Lett. A 30 , 1550069 (2015) · 8 pages

arxiv created 2014/11/25 · openalex publication_date 2015/04/01 · arxiv updated 2015/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The issues of quintessence and cosmic acceleration can be discussed in the framework of [Formula: see text] theories of gravity where R is the Ricci curvature scalar and [Formula: see text] is the Gauss–Bonnet topological invariant. It is possible to show that such an approach exhausts all the curvature content related to the Riemann tensor giving rise to a fully geometric approach to dark energy.

Citations

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