D 2007

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

KOVÁŘ, Jiří and Zdeněk STUCHLÍK

Basic information

Original name

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

Edition

Opava, Proceedings of RAGtime 8/9: Workshops on black holes and neutron stars, p. 417-431, 14 pp. 2007

Publisher

Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10308 Astronomy

Confidentiality degree

není předmětem státního či obchodního tajemství

Organization unit

Faculty of Philosophy and Science in Opava

ISBN

978-80-7248-419-5

Keywords in English

Schwarzschild-de Sitter geometry, pseudo-Newtonian gravitational potential, cosmological constant, black hole

Tags

Tags

International impact

Links

GA202/06/0041, research and development project. MSM4781305903, plan (intention).
Změněno: 18/12/2020 11:28, Mgr. Pavlína Jalůvková

Abstract

V originále

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.