Lorentzian Regge calculus and spinfoam: an example with fixed topology

Regge Calculus is the classical starting point for a bunch of different models of Quantum Gravity. I present two different solutions of this classical model of gravity for a fixed topology. Some interesting aspects and open problems related to the Lorentzian structure of the discrete system are analyzed. Moreover, I present the first steps towards the implementation of the Spin-foam Quantization based on these classical solutions of the Regge Calculus.