Weak field approximation in a model of de Sitter gravity: Schwarzschild solutions and galactic rotation curves

Abstract

Weak field approximate solutions in the Lambda-->0 limit of a model of de Sitter gravity have been presented in the static and spherically symmetric case. Although the model looks different from general relativity, among those solutions, there still exist the weak Schwarzschild fields with the smooth connection to regular internal solutions obeying the Newtonian gravitational law. The existence of such solutions would determine the value of the coupling constant, which is different from that of the previous literature. Moreover, there also exist solutions that could deduce the galactic rotation curves without invoking dark matter.

13 pages

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Cited by in corpus (5)

• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Kaluza--Klein-type models of de Sitter and Poincaré gauge theories of gravity
• Infrared modification of gravity from conformal symmetry
• Self-Gravitating Relativistic Models of Fermions with Anisotropy and Cutoff Energy in their Distribution Function
• Weak field approximation in a model of de Sitter gravity: Schwarzschild-de Sitter solutions