Speaker
Description
We investigate a coordinate extended version of General Relativity (GR), called pseudo-complex General Relativity (pcGR),within the Hořava–Lifshitz gravity, which is a regularized version of GR. The pcGR can interpolate between GR and a theory including also a minimal length and in addition the accumulation of dark energy. The investigation concentrates on Schwarzschild black holes. The Wheeler-deWitt equation is derived, which provides a quantization of pcGR. Applying some approximations, the structure of the solutions of the Wheeler-deWitt equation can be found and consequences be discussed. This study covers GR and an extended theory including the accumulation of dark energy. One main result will be that the singularity at the center of the black hole is avoided, due to the non-linear interaction terms of the Hořava–Lifshitz action. The contributions of the extrinsic curvature, in form of a kinetic energy, play a particular role in still avoiding a singularity in GR.
