Non-linear Lorentz transformation

Curved spacetime generated by a non-linear realization of the lorentz Group

Marcelo Carvalho, Alexandre Lyra
We analyse the non-linear realization of Lorentz transformation as proposed heuristically by Albano and Dresden and we built a space that enables us to deduce analytically their transformation. The central point of our construction is the space of sections $\Gamma(M) \ni s(x): M \rightarrow R^4$ which allow us to define a curved metric in spacetime.
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