Properties of pseudo-Newtonian gravitational potential in Schwarzschild-de Sitter spacetimes

@inproceedings{44096,
   author = {Kovář, Jiří and Stuchlík, Zdeněk},
   address = {Opava},
   booktitle = {Proceedings of RAGtime 8/9: Workshops on black holes and neutron stars},
   keywords = {Schwarzschild-de Sitter geometry, pseudo-Newtonian gravitational potential, cosmological constant, black hole},
   language = {eng},
   location = {Opava},
   isbn = {978-80-7248-419-5},
   pages = {417-431},
   publisher = {Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky},
   title = {Properties of pseudo-Newtonian gravitational potential in Schwarzschild-de Sitter spacetimes},
   year = {2007}
}

TY  - JOUR
ID  - 44096
AU  - Kovář, Jiří - Stuchlík, Zdeněk
PY  - 2007
TI  - Properties of pseudo-Newtonian gravitational potential in Schwarzschild-de Sitter spacetimes
PB  - Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky
CY  - Opava
SN  - 9788072484195
KW  - Schwarzschild-de Sitter geometry, pseudo-Newtonian gravitational potential, cosmological constant, black hole
N2  - 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 withits 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 = Lambda*M^2/3 <= 10^-6.
ER  - 

KOVÁŘ, Jiří and Zdeněk STUCHLÍK. Properties of pseudo-Newtonian gravitational potential in Schwarzschild-de Sitter spacetimes. In \textit{Proceedings of RAGtime 8/9: Workshops on black holes and neutron stars}. Opava: Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky, 2007, p.~417-431, 14 pp. ISBN~978-80-7248-419-5.