期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
卷 17, 期 11, 页码 2089-2105出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021827180801373X
关键词
Pseudo-Newtonian approach; relativistic approach; gravitational potential; effective potential; circular orbit; energy; cosmological parameter; black hole
资金
- Czech [MSM 4781305903, GACR 202/06/0041]
Pseudo-Newtonian gravitational potential describing the gravitational. eld of static and spherically symmetric black holes in the universe with a repulsive cosmological constant is introduced. In order to demonstrate the accuracy of the pseudo-Newtonian approach, the related effective potential for test particle motion is constructed and compared with its general-relativistic counterpart given by the Schwarzschild-de Sitter geometry. The results indicate that such an approach could be useful in applications of developed Newtonian theories of accretion disks in astrophysically interesting situations in large galactic structures for the Schwarzschild-de Sitter space-times with the cosmological parameter y = Lambda M(2)/3 <= 10(-6).
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