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Motion of Test Particle in Generalized Schwarzschild Geometry |
ZHAI Xiang-hua1;YUAN Ning-yi1;LI Xin-zhou2 |
1Department of Physics, 2East China Institute for Theoretical Physics, East China University of Science and Technology, Shanghai 200237
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Cite this article: |
ZHAI Xiang-hua, YUAN Ning-yi, LI Xin-zhou 1999 Chin. Phys. Lett. 16 321-323 |
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Abstract By the Hamilton-Jacobi formalism, the features of orbits of a test particle moving in generalized Schwarzschild geometries with the parameter 0 < λ ≤ 1 are studied, where the intensity of λ corresponds to the contribution of massless scalar field. In special case λ= 1, it is reduced to the Schwarzschild metric. It is found that λ= 1/2 is a critical point, when 1/2 ≤ λ < 1 the qualitative features are similar to Schwarzschild geometry whereas the case of 0 < λ < 1/2 is different from the case of λ= 1.
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Keywords:
04.20.-q
02.40.Ky
98.90.+s
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Published: 01 May 1999
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PACS: |
04.20.-q
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(Classical general relativity)
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02.40.Ky
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(Riemannian geometries)
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98.90.+s
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(Other topics on stellar systems; interstellar medium; galactic and extragalactic objects and systems; the Universe)
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