Geodesic dynamics in Chazy–Curzon spacetimes

In the last decades, the dynamical studies around compact objects became a subject of active research, partially motivated by the observed differences in the profiles of the gravitational waves depending on the dynamics of the system. In this work, via the Poincaré section method, we conduct a thoro...

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Bibliographic Details
Published inIndian journal of physics Vol. 93; no. 12; pp. 1635 - 1641
Main Authors Dubeibe, F. L., Arias H., J. D., Alfonso, J. E.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.12.2019
Springer Nature B.V
Subjects
Astrophysics and Astroparticles
Computer simulation
Geodesy
Gravitational waves
Numerical analysis
OriginalPaper
Physics
Physics and Astronomy
04.20.-q
General relativity and gravitation
04.20.Jb
Nonlinear dynamics and chaos
Exact solutions
05.45.-a
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ISSN0973-1458
0974-9845
DOI10.1007/s12648-019-01416-8

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Summary:In the last decades, the dynamical studies around compact objects became a subject of active research, partially motivated by the observed differences in the profiles of the gravitational waves depending on the dynamics of the system. In this work, via the Poincaré section method, we conduct a thorough numerical analysis of the dynamical behavior of geodesics around Chazy–Curzon metrics. As the main result, we find only regular motions for the geodesics in all cases, which suggest the existence of the so-called Carter’s constant in this kind of exact solutions. Moreover, our simulations indicate that in the two-particle Chazy–Curzon solution, some oscillatory motions take place as in the classical MacMillan problem.
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ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-019-01416-8