Understand
We study the orbits in a Manko-Novikov type metric (MN) which is a perturbed Kerr metric.
- There are periodic, quasi-periodic, and chaotic orbits, which are found in configuration space and on a surface of section for various values of the energy E and the z-component of the angular momentum Lz.
- For relatively large Lz there are two permissible regions of non-plunging motion bounded by two closed curves of zero velocity (CZV), while in the Kerr metric there is only one closed CZV of non-plunging motion.
- The inner permissible region of the MN metric contains mainly chaotic orbits, but it contains also a large island of stability.
Built on
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Manko, V. S., & Novikov, I. D. [1992], “Generalizations of the Kerr and Kerr-Newman metrics possessing an arbitrary set of mass-multipole moments”, Class. Quant. Grav
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Similar
Contopoulos, G. [2002], “Order and chaos in dynamical astronomy” (Springer, Berlin)
2002
Cited alongside, same era.
Gair, J. R., & Glampedakis, K. [2006], “Improved approximate inspirals of test bodies into Kerr black holes” Phys. Rev. D
2006
Cited alongside, same era.
Flanagan, É. É., & Hinderer, T. [2007], “Evolution of the Carter constant for inspirals into a black hole: Effect of the black hole quadrupole”, Phys. Rev. D
2007
Cited alongside, same era.
Brink, J. [2008], “Spacetime encodings. II. Pictures of integrability”, Phys. Rev. D
2008
Cited alongside, same era.
Gair, J. R., Li, C., & Mandel, I. [2008], “Observable properties of orbits in exact bumpy spacetimes”, Phys. Rev. D
2008
Cited alongside, same era.
Then
Apostolatos, T. A., Lukes-Gerakopoulos, G., & Contopoulos, G. [2009], “How to Observe a Non-Kerr Spacetime Using Gravitational Waves”, Phys. Rev. Let
2009
Later among the works it cites.
Johannsen, T., & Psaltis, D. [2010], “Testing the No-hair Theorem with Observations in the Electromagnetic Spectrum. I. Properties of a Quasi-Kerr Spacetime”, Astrop. J
2010
Later among the works it cites.
Johannsen, T., & Psaltis, D. [2010], “Testing the No-hair Theorem with Observations in the Electromagnetic Spectrum. II. Black Hole Images”, Astrop. J
2010
Later among the works it cites.
Lukes-Gerakopoulos, G., Apostolatos, T. A., & Contopoulos, G. [2010], “Observable signature of a background deviating from the Kerr metric” Phys. Rev. D
2010
Later among the works it cites.
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