Publication date: Dec 2007
Abstract:
We introduce the gravitational potential for the pseudo-Newtonian
description of the gravitational field around static and spherically
symmetric black holes in the universe with the repulsive cosmological
constant, described in terms of the general relativistic approach by the
Schwarzschild-de Sitter geometry. In order to demonstrate the accuracy
of the pseudo-Newtonian approach and its possible applications, we
construct the effective potential for a test particle motion and compare
its behaviour with its general relativistic counterpart. Our results
indicate that the pseudo-Newtonian potential could be useful in
applications of developed Newtonian theories of accretion disks in
astrophysically interesting situations in large galactic structures for
spacetimes with the cosmological parameter y = Λ M^2 / 3 ≤
10^{-6}.
Authors:
Stuchlík, Zdeněk; Kovář, Jiří;