Time-Like Geodesic Motion in Schwarzschild Spacetime with Weak-Field Limit

doi:10.1088/0256-307X/32/8/080401

Chin. Phys. Lett.

2015, Vol. 32

Issue (08): 080401 DOI: 10.1088/0256-307X/32/8/080401

GENERAL

Time-Like Geodesic Motion in Schwarzschild Spacetime with Weak-Field Limit

ZHANG Ruan-Jing, CHEN Ju-Hua^**, GAN Qiao-Shan, WANG Yong-Jiu

College of Physics and Information Science, Hunan Normal University, Changsha 410081

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ZHANG Ruan-Jing, CHEN Ju-Hua, GAN Qiao-Shan et al 2015 Chin. Phys. Lett. 32 080401

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Abstract We analyze the geodesic motion in Schwarzschild spacetime with the weak-field limit. We investigate all geodesic types of the test particle by solving the geodesic equation and analyzing the behavior of effective potential. At the same time, all kinds of orbits, which are allowed according to the energy level corresponding to the effective potential, are numerically simulated in detail. Then we discuss the effect of different parameters on the effective potential energy. We also find that the test particle falls rapidly along the fall-into orbit and the radius of stable (unstable) circular orbits become larger in the Schwarzschild spacetime with the weak-field limit than those in the Schwarzschild case.

Received: 17 May 2015 Published: 02 September 2015

PACS:	04.70.-s	(Physics of black holes)
	04.40.-b	(Self-gravitating systems; continuous media and classical fields in curved spacetime)
	04.50.Gh	(Higher-dimensional black holes, black strings, and related objects)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/32/8/080401 OR https://cpl.iphy.ac.cn/Y2015/V32/I08/080401

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	ZHANG Ruan-Jing
	CHEN Ju-Hua
	GAN Qiao-Shan
	WANG Yong-Jiu

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