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The Geometrical Trinity of Gravity
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Tartu, Estonia.
Number of Authors: 32019 (English)In: Universe, ISSN 2218-1997, Vol. 5, no 7, article id 173Article in journal (Refereed) Published
Abstract [en]

The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational interaction is performed in terms of the spacetime curvature, which is now the standard interpretation of gravity. However, this is not the only possibility. In these notes, we discuss two alternative, though equivalent, formulations of General Relativity in flat spacetimes, in which gravity is fully ascribed either to torsion or to non-metricity, thus putting forward the existence of three seemingly unrelated representations of the same underlying theory. Based on these three alternative formulations of General Relativity, we then discuss some extensions.

Place, publisher, year, edition, pages
2019. Vol. 5, no 7, article id 173
Keywords [en]
general relativity, modified gravity, torsion, non-metricity
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-171774DOI: 10.3390/universe5070173ISI: 000478769900006OAI: oai:DiVA.org:su-171774DiVA, id: diva2:1346338
Note

This article belongs to the Special Issue Selected Papers from José Plínio Baptista School on Cosmology “The dark sector of the universe”.

Available from: 2019-08-27 Created: 2019-08-27 Last updated: 2019-08-27Bibliographically approved

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