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.
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References
C.W. Misner, K.S. Thorne, J.A. Wheeler, GRAVITATION (W. H. Freeman and Company, San Francisco, 1973)
C.M. Will, Living Rev. Relativ. 9, 3 (2006)
M.A. Abramowicz, W. Kluzniak, J.P. Lasota, Astron. Astrophys. 396, L31 (2002)
P.F. Kelly, R.B. Mann, Class. Quantum Gravity 3, 705 (1986)
O. Peter, Hess und Walter Greiner, Int. J. Mod. Phys. E 18, 51 (2009)
G. Caspar, T. Schönenbach, P.O. Hess, M. Schäfer, W. Greiner, Int. J. Mod. Phys. E 21, 1250015 (2012)
T. Schönenbach, G. Caspar, P.O. Hess, T. Boller, A. Müller, M. Schäfer, W. Greiner, MNRAS 430, 2999 (2013)
T. Schönenbach, G. Caspar, P.O. Hess, T. Boller, A. Müller, M. Schäfer, W. Greiner, Mon. Not. R. Astron. Soc. 442, 121 (2014)
M. Visser, Phys. Rev. D 54, 5116 (1996)
T.M. Belloni, A. Sanna, M. Mendz, MNRAS 426, 1701 (2012)
R.I. Hynes, D. Steeghs, J. Casares, P.A. Charles, K. O’Brian, ApJ 609, 317 (2004)
R.C. Reis, A.C. Fabian, R.R. Ross, G. Miniutti, J.M. Miller, C. Reynolds, MNRAS 387, 1489 (2008)
J. Steiner, J. McClintock, G. Jeffrey et al., 38th COSPAR Scientific Assembly, 18–15 July (Bremen, Germany, 2010)
D. Lai, W. Fu, D. Tsang, J. Horak, C. Ya, Proceedings of the International Astronomical Union 8S(290), 57 (2012)
D.N. Page, K.S. Thorne, Astrophys. J. 191, 499 (1974)
F.H. Vincent, T. Paumard, E. Gourgoulhon, G. Perrin, Class. Quantum Gravity 28, 225011 (2011)
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
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.
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Algalán, M.B., Hess, P.O., Greiner, W. (2017). Simulations of Accretion Disks Around Massive stars. In: Schramm, S., Schäfer, M. (eds) New Horizons in Fundamental Physics. FIAS Interdisciplinary Science Series. Springer, Cham. https://doi.org/10.1007/978-3-319-44165-8_21
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DOI: https://doi.org/10.1007/978-3-319-44165-8_21
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