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The Geometrical Trinity of Gravity
Univ Salamanca, Dept Fis Fundamental, E-37008 Salamanca, Spain.;Univ Salamanca, IUFFyM, E-37008 Salamanca, Spain..
Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. KTH Royal Inst Technol, NORDITA, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.;Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.;Univ Tartu, Inst Phys, Lab Theoret Phys, W Ostwaldi 1, EE-50411 Tartu, Estonia..ORCID iD: 0000-0002-9403-8565
2019 (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
MDPI , 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:kth:diva-257582DOI: 10.3390/universe5070173ISI: 000478769900006Scopus ID: 2-s2.0-85070407323OAI: oai:DiVA.org:kth-257582DiVA, id: diva2:1353037
Note

QC 20190920

Available from: 2019-09-20 Created: 2019-09-20 Last updated: 2019-09-20Bibliographically approved

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Koivisto, Tomi S.

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