2008/03/25 by Zdenek Stuchlik, ZDENĚK STUCHLÍK, Jiri Kovar +1 · 70 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Cosmological constant #Cosmology #De Sitter universe #Gravitation #Gravitational field #Gravitational potential #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Test particle #astro-ph #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #gr-qc
paper · pdf · doi:10.1142/s021827180801373x
published in International Journal of Modern Physics D 17(11), 2089-2105 (World Scientific) · 17 pages, 11 figures, accepted by International Journal of Modern Physics D (2008)
arxiv created 2008/03/25 · openalex publication_date 2008/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Pseudo-Newtonian gravitational potential describing the gravitational field 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 = Λ M 2 /3 ≤ 10 -6 .