J 2008

Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes

KOVÁŘ, Jiří and Zdeněk STUCHLÍK

Basic information

Original name

Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes

Authors

KOVÁŘ, Jiří and Zdeněk STUCHLÍK

Edition

International Journal of Modern Physics D, SG - Singapurská republika, 2008, 0218-2718

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Confidentiality degree

není předmětem státního či obchodního tajemství

Organization unit

Faculty of Philosophy and Science in Opava

DOI

http://dx.doi.org/10.1142/S021827180801373X

UT WoS

000261383300009

Keywords in English

Pseudo-Newtonian approach, relativistic approach, gravitational potential, effective potential, circular orbit, energy, cosmological parameter, black hole

Tags

UF

Tags

International impact, Reviewed

Links

GA202/06/0041, research and development project. MSM4781305903, plan (intention).
Změněno: 21/12/2020 12:06, Mgr. Pavlína Jalůvková

Abstract

V originále

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 $y=(1/3)Lambda M^2leq10^{-6}$.
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