Abstract
A review of the pseudo-complex General Relativity (pc-GR) is presented, with the emphasis on observational consequences. First it is argued why to use an algebraic extension and why the pseudo-complex is a viable one. Afterward, the pc-GR is formulated. Posterior, several observational consequences are discussed, as the perihelion shift of Mercury, Quasi Periodic Objects, the emission profile of accretion discs, the pc-Robertson-Walker model of the universe, neutron stars and gravitational ring-down modes of a black hole.
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