### Canonical quantization of the Szekeres spacetime

In this talk, I will discuss the canonical quantisation of an inhomogeneous spacetime by the use of the symmetries on the configuration space. I focus on the Szekeres spacetime with or without a cosmological constant. The physical interest on this system is that it can describe early inhomogeneous discrepancies from the homogeneous spacetime in the early universe. I will explain the general procedure, usually performed in the context of the minisuperspace approximation. Then, I will discuss the solution of the quantum equations, which is a wave functional to be interpreted. We derive a probability density and discuss the transition to the classical limit and the implications for the current state of the universe.

**Thursday, 26th September 2019, 14:30, sala Watachin**