Abstract
After a short review on attempts to extend General Relativity, pseudo-complex variables are introduced and their main properties are restated. A modified variational principle has to be introduced in order to obtain a new theory. This allows the appearance of an additional contribution, whose origin is a repulsive, dark energy. After the presentation of the general formalism, as examples the Schwarzschild and the Kerr solutions are discussed. It is shown that a collapsing mass increasingly accumulates dark energy until the collapse is stopped. Rather than a black hole, a gray star is formed. We discuss a possible experimental verification, investigating the orbital frequency of a particle in a circular orbit.
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Financial support from the Frankfurt Institute for Advanced Studies (FIAS), “Stiftung Polytechnische Gesellschaft Frankfurt am Main” (SPTG) and from CONACyT are acknowledged.
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Greiner, W., Hess, P.O., Schäfer, M., Schönenbach, T., Caspar, G. (2016). There are No Black Holes—Pseudo-Complex General Relativity. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_4
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