Publication date: n/a 2008
Abstract:
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 M2/3 ≤
10-6.
Authors:
Stuchlík, Zdeněk; Kovář, Jiří;