Fetching the paper…

Reading the bibliography…

2009

How to observe a non-Kerr spacetime

Apostolatos, Theocharis A., Lukes-Gerakopoulos, Georgios, Contopoulos, George

Original
PDF
Post on X

Understand

We present a generic criterion which can be used in gravitational-wave data analysis to distinguish an extreme-mass-ratio inspiral into a Kerr background spacetime from one into a non-Kerr background spacetime.

The criterion exploits the fact that when an integrable system, such as the system that describes geodesic orbits in a Kerr spacetime, is perturbed, the tori in phase space which initially corresponded to resonances disintegrate so as to form the so called Birkhoff chains on a surface of section, according to the Poincar\'{e}-Birkhoff theorem.
The KAM curves of these islands in such a chain share the same ratio of frequencies, even though the frequencies themselves vary from one KAM curve to another inside an island.
On the other hand, the KAM curves, which do not lie in a Birkhoff chain, do not share this characteristic property.

How to observe a non-Kerr spacetime · Around

Built on

H. Poincaré, Rend. Circ. Mat. Palermo, 33
1913
Earlier work this paper cites.
G. Contopoulos, Bull. Astron. (3), 2
1967
Earlier work this paper cites.
V. I. Arnold, ‘Mathematical Methods of Classical Mechanics’, 2nd Ed., (Springer, 1989)
1989
Earlier work this paper cites.
V. S. Manko, I. D. Novikov, Class. Quant. Grav., 9
1992
Earlier work this paper cites.
F. D. Ryan, Phys. Rev. D, 52
1995
Earlier work this paper cites.
P. Bender et al., ’LISA Pre-Phase A Report’ 2nd Ed., (1998)
1998
Earlier work this paper cites.

Similar

K. Menou, E. Quataert, R. Narayan, ’Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories’ (World Scientific Publishers, 1999)
1999
Cited alongside, same era.
G. Contopoulos, ‘Order and chaos in dynamical Astronomy’, (Springer, 2002)
2002
Cited alongside, same era.
K. Glampedakis, S. Babak, Class. Quant. Grav., 23
2006
Cited alongside, same era.
J. R. Gair, K. Glampedakis, Phys. Rev. D, 73
2006
Cited alongside, same era.
S. Drasco, Class. Quant. Grav., 23
2006
Cited alongside, same era.
T. A. Apostolatos, G. Lukes-Gerakopoulos, J. Deligiannis, G. Contopoulos, work in progress
Cited in the paper.

Then

P. Amaro-Seoane, J. R. Gair, M. Freitag, M. C. Miller, I. Mandel, C. J. Cutler, S. Babak, Class. Quantum Grav., 24
2007
Later among the works it cites.
L. Barack, C. Cutler, Phys. Rev. D, 75
2007
Later among the works it cites.
S. Babak, H. Fang, J. R. Gair, K. Glampedakis, S. A. Hughes, Phys. Rev. D, 75
2008
Later among the works it cites.
J. R. Gair, C. Li, I. Mandel, Phys. Rev. D, 77
2008
Later among the works it cites.
C. Efthymiopoulos, Ce. M. D. A., 102
2008
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…