Pseudo-Newtonian Gravitational Potential for Schwarzschild-De Sitter Space-Times
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.
- Publication:
-
International Journal of Modern Physics D
- Pub Date:
- 2008
- DOI:
- 10.1142/S021827180801373X
- arXiv:
- arXiv:0803.3641
- Bibcode:
- 2008IJMPD..17.2089S
- Keywords:
-
- Pseudo-Newtonian approach;
- relativistic approach;
- gravitational potential;
- effective potential;
- circular orbit;
- energy;
- cosmological parameter;
- black hole;
- General Relativity and Quantum Cosmology;
- Astrophysics
- E-Print:
- 17 pages, 11 figures, accepted by International Journal of Modern Physics D (2008)