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The Geometrical Trinity of Gravity | | Jose Beltran Jimenez
; Lavinia Heisenberg
; Tomi S. Koivisto
; | | Date: |
15 Mar 2019 | | Abstract: | 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. | | Source: | arXiv, 1903.6830 | | Services: | Forum | Review | PDF | Favorites | |
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