Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes

@article{44220,
   author = {Kovář, Jiří and Stuchlík, Zdeněk},
   article_location = {SG - Singapurská republika},
   article_number = {XX},
   doi = {http://dx.doi.org/10.1142/S021827180801373X},
   keywords = {Pseudo-Newtonian approach, relativistic approach, gravitational potential, effective potential, circular orbit, energy, cosmological parameter, black hole},
   language = {eng},
   issn = {0218-2718},
   journal = {International Journal of Modern Physics D},
   title = {Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes},
   volume = {17},
   year = {2008}
}

TY  - JOUR
ID  - 44220
AU  - Kovář, Jiří - Stuchlík, Zdeněk
PY  - 2008
TI  - Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes
JF  - International Journal of Modern Physics D
VL  - 17
IS  - XX
SP  - 1-17
EP  - 1-17
SN  - 02182718
KW  - Pseudo-Newtonian approach, relativistic approach, gravitational potential, effective potential, circular orbit, energy, cosmological parameter, black hole
N2  - 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-Newtonianapproach, 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 discs in astrophysically interesting situations in large galactic structures for the Schwarzschild-de~Sitter spacetimes with the cosmological parameter $y=(1/3)Lambda M^2leq10^{-6}$.
ER  - 

KOVÁŘ, Jiří and Zdeněk STUCHLÍK. Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes. \textit{International Journal of Modern Physics D}. SG - Singapurská republika, 2008, vol.~17, XX, p.~1-17. ISSN~0218-2718. Available from: https://dx.doi.org/10.1142/S021827180801373X.