The Geometrical Trinity of Gravity & Its Implications for Neutron Star Structure

Recent advances in gravitational physics have renewed interest in the geometrical trinity of gravity, wherein General Relativity admits three equivalent formulations based on curvature (R), torsion (T), and non-metricity (Q). These alternative geometric descriptions provide deeper insights into the nature of gravity and offer promising frameworks for investigating strong-field astrophysical phenomena.
This talk provides a pedagogical overview of the geometrical trinity of gravity and its mathematical foundation in metric-affine geometry, with a particular focus on non-metricity-based f(Q) gravity. I will then discuss how the structure of neutron stars is constructed within the f(Q) framework and how departures from standard spacetime geometry can affect compact-star properties. Finally, I will briefly highlight the implications of these modifications for strong-gravity physics and their confrontation with current astrophysical observations using Bayesian inference.

Note: on Zoom