NDLI: Geodesic motions of test particles in a relativistic core

Content Provider	Springer Nature Link
Author	Liu, Lei Wu, Xin Huang, Guoqing
Copyright Year	2017
Abstract	In this paper, we discuss the geodesic motions of test particles in the intermediate vacuum between a monopolar core and an exterior shell of dipoles, quadrupoles and octopoles. The radii of the innermost stable circular orbits at the equatorial plane depend only on the quadrupoles. A given oblate quadrupolar leads to the existence of two innermost stable circular orbits, and their radii are larger than in the Schwarzschild spacetime. However, a given prolate quadrupolar corresponds to only one innermost stable circular orbit, and its radius is smaller than in the Schwarzschild spacetime. As to the general geodesic orbits, one of the recently developed extended phase space fourth order explicit symplectic-like methods is efficiently applicable to them although the Hamiltonian of the relativistic core–shell system is not separable. With the aid of both this fast integrator without secular growth in the energy errors and gauge invariant chaotic indicators, the effect of these shell multipoles on the geodesic dynamics of order and chaos is estimated numerically.
Starting Page	1
Ending Page	17
Page Count	17
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	49
Issue Number	2
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2017-01-25
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Core–shell spacetime Gauge invariance Chaos Symplectic integrator Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry Astronomy, Astrophysics and Cosmology Quantum Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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