Simulations of Accretion Disks Around Massive stars

  • M. B. Algalán
  • P. O. HessEmail author
  • W. Greiner
Part of the FIAS Interdisciplinary Science Series book series (FIAS)


We present a review of the pseudo-complex General Relativity, which is an algebraical extension of the standard theory. In the Einstein equations a new contribution arises, which is related to vacuum fluctuations building up near large masses. Though the theory is richer in structure, as it includes a minimal length, here we will neglect this minimal length and concentrate on the effects of the presence of dark energy. Stable circular orbits and the redshift are considered and compared to some observational data. Finally, accretion disks are simulated, using the model of Page and Thorne from 1974, with the metric adjusted to the new one. We want to convince that the model presented is a very effective manner to include quantum effects on the phenomenological level, i.e., it takes into account that mass not only curves the space but also changes the vacuum properties, not taken into account properly up to now.


Dark Energy Event Horizon Accretion Disk Circular Orbit Galactic Center 
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Peter O. Hess acknowledges the financial support from DGAPA-PAPIIT (IN100315). Peter O. Hess also acknowledges financial support from the Frankfurt Institute for Advanced Studies (FIAS) and the fruitful working atmosphere at this institute which led to many new ideas and products. We also thank T. Boller (MPI, Garching) for the many discussions, contributions and providing to us Fig. 3. We thank G. Caspar, M. Schäfer and T. Schönenbach for many helpful discussions.


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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Instituto de Ciencias Nucleares, UNAMMexico D.F.Mexico
  2. 2.Frankfurt Institute for Advanced Studies, Wolfgang Goethe UniversityFrankfurt am MainGermany

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