The Geometrical Trinity of Gravity

By Jose Beltrán Jiménez, Lavinia Heisenberg, Tomi Koivisto. Universe, 2019

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d308254e368e130f6132f44ba062a54bcf9e66a8

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Citations in the corpus

Cosmological solutions and growth index of matter perturbations in f(Q) gravity (2021, background): “[2] Ruben Aldrovandi and José Geraldo Pereira, Teleparallel Gravity , Vol. 173 (Springer, Dordrecht, 2013).”
Bouncing cosmology in f(Q) symmetric teleparallel gravity (2020, methodology): “[46] J.”
Modified Gravity and Cosmology (2021, background): “However, what makes this approach, using constraints, particularly useful is the ability to systematically study a variety of theories in a uniform setting [11].”