Abstract
After a short review on attempts to extend General Relativity, pseudo-complex variables are introduced. We restate the main properties of these variables. The variational principle has to be modified in order to obtain a new theory. An additional contribution appears, whose origin is a repulsive, dark energy. The general formalism is presented. As examples, the Schwarzschild and the Kerr solutions are discussed. It is shown that a collapsing mass inceasingly 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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Hess, P.O., Greiner, W., Schönenbach, T., Caspar, G. (2013). Black Holes or Gray Stars? That’s the Question: Pseudo-Complex General Relativity. In: Greiner, W. (eds) Exciting Interdisciplinary Physics. FIAS Interdisciplinary Science Series. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00047-3_26
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DOI: https://doi.org/10.1007/978-3-319-00047-3_26
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