Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes

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 discs in astrophysically interesting situations in large galactic structures for the Schwarzschild-de Sitter spacetimes with the cosmological parameter y=(1/3)ΛM^2<10^{-6}.

17 pages, 11 figures, accepted by International Journal of Modern Physics D (2008)

References in corpus (7)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Influence of the relict cosmological constant on accretion discs
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• Generalized pseudo-Newtonian potential for studying accretion disk dynamics in off-equatorial planes around rotating black holes: Description of a vector potential
• Optical reference geometry and inertial forces in Kerr-de Sitter spacetimes
• Forces in Kerr spacetimes with a repulsive cosmological constant

Cited by in corpus (5)

• Off-equatorial orbits in strong gravitational fields near compact objects -- II: halo motion around magnetic compact stars and magnetized black holes
• Current-carrying string loops in black-hole spacetimes with a repulsive cosmological constant
• Scalar-tensor propagation of light in the inner solar system at the millimetric level
• Charged tori in spherical gravitational and dipolar magnetic fields
• Acceleration of string loops in the Schwarzschild-de Sitter geometry