Advertisement

Simulations of Accretion Disks Around Massive stars

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

Abstract

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.

Keywords

Dark Energy Event Horizon Accretion Disk Circular Orbit Galactic Center 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

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.

References

  1. 1.
    C.W. Misner, K.S. Thorne, J.A. Wheeler, GRAVITATION (W. H. Freeman and Company, San Francisco, 1973)Google Scholar
  2. 2.
    C.M. Will, Living Rev. Relativ. 9, 3 (2006)ADSCrossRefGoogle Scholar
  3. 3.
    M.A. Abramowicz, W. Kluzniak, J.P. Lasota, Astron. Astrophys. 396, L31 (2002)ADSCrossRefGoogle Scholar
  4. 4.
    P.F. Kelly, R.B. Mann, Class. Quantum Gravity 3, 705 (1986)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    O. Peter, Hess und Walter Greiner, Int. J. Mod. Phys. E 18, 51 (2009)Google Scholar
  6. 6.
    G. Caspar, T. Schönenbach, P.O. Hess, M. Schäfer, W. Greiner, Int. J. Mod. Phys. E 21, 1250015 (2012)ADSCrossRefGoogle Scholar
  7. 7.
    T. Schönenbach, G. Caspar, P.O. Hess, T. Boller, A. Müller, M. Schäfer, W. Greiner, MNRAS 430, 2999 (2013)ADSCrossRefGoogle Scholar
  8. 8.
    T. Schönenbach, G. Caspar, P.O. Hess, T. Boller, A. Müller, M. Schäfer, W. Greiner, Mon. Not. R. Astron. Soc. 442, 121 (2014)ADSCrossRefGoogle Scholar
  9. 9.
    M. Visser, Phys. Rev. D 54, 5116 (1996)ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    T.M. Belloni, A. Sanna, M. Mendz, MNRAS 426, 1701 (2012)ADSCrossRefGoogle Scholar
  11. 11.
    R.I. Hynes, D. Steeghs, J. Casares, P.A. Charles, K. O’Brian, ApJ 609, 317 (2004)ADSCrossRefGoogle Scholar
  12. 12.
    R.C. Reis, A.C. Fabian, R.R. Ross, G. Miniutti, J.M. Miller, C. Reynolds, MNRAS 387, 1489 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    J. Steiner, J. McClintock, G. Jeffrey et al., 38th COSPAR Scientific Assembly, 18–15 July (Bremen, Germany, 2010)Google Scholar
  14. 14.
    D. Lai, W. Fu, D. Tsang, J. Horak, C. Ya, Proceedings of the International Astronomical Union 8S(290), 57 (2012)CrossRefGoogle Scholar
  15. 15.
    D.N. Page, K.S. Thorne, Astrophys. J. 191, 499 (1974)Google Scholar
  16. 16.
    F.H. Vincent, T. Paumard, E. Gourgoulhon, G. Perrin, Class. Quantum Gravity 28, 225011 (2011)ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    P.O. Hess, M. Schäfer, W. Greiner, Pseudo-complex General Relativity in FIAS Interdisciplinary Science Series (Springer, Heidelberg, 2015). ISBN 978-3-319-25060-1, doi: 10.1007/978-3-319-25061-8

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

Personalised recommendations