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A pseudo-Newtonian description of any stationary space-time

Published online by Cambridge University Press:  23 June 2017

Vojtěch Witzany Open the ORCID record for Vojtěch Witzany [Opens in a new window]  and
Claus Lämmerzahl
Vojtěch Witzany*
Affiliation:
ZARM, Universität Bremen, Am Fallturm, 28359, Bremen, Germany
Claus Lämmerzahl
Affiliation:
ZARM, Universität Bremen, Am Fallturm, 28359, Bremen, Germany
*
1email: [email protected]
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Abstract

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Since the first investigations into accretion onto black holes, astrophysicists have proposed effective Newtonian-like potentials to mimic the strong-field behavior of matter near a Schwarzschild or Kerr black hole. On the other hand, the fields of neutron stars or black holes in many of the alternative gravity theories differ from the idealized Schwarzschild or Kerr field which would require a number of new potentials. To resolve this, we give a Newtonian-like Hamiltonian which almost perfectly mimics the behavior of test particles in any given stationary space-time. The properties of the Hamiltonian are excellent in static space-times such as the Schwarzschild black hole, but become worse for space-times with gravito-magnetic or dragging effects such as near the Kerr black hole.

Keywords

gravitationrelativityblack hole physicsaccretiongravitational lensing
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 12 , Symposium S324: New Frontiers in Black Hole Astrophysics , September 2016 , pp. 45 - 46
Copyright
Copyright © International Astronomical Union 2017 

References

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Witzany, V. & Lämmerzahl, C. 2016, arXiv:1601.01034Google Scholar