Gravity and Black Holes - Moving beyond the paradigm

Restrictions in quadratic metric-affine gravity from the stability of the vector sector

Apr 12, 2023, 9:30 AM

1h

Main Auditorium (Max Planck Institute for Physics (MPP))

Speaker

Alejandro Jiménez Cano (Tartu University)

Description

ORIGINS Guest Talk.
In this talk we will revise the stability of the four vector irreducible pieces of the torsion and the nonmetricity tensors in the general quadratic metric-affine Lagrangian in 4 dimensions. This analysis highly constrains the theory and reduces the parameter space of the quadratic curvature part from 16 to 5 parameters. We will also mention the case of Weyl-Cartan gravity, proving that the stability of the vector sector completely fixes the dynamics of the full Lagrangian to just an Einstein-Proca theory or pure General Relativity.