Mimicking General Relativity with Newtonian Dynamics. (10th November 2011)

• Record Type: Journal Article
• Authors: Goulart, E.
• Other Names: Radinschi I. Academic Editor.; Sabra W. Academic Editor.; Singleton D. Academic Editor.
• Is Part Of: ISRN mathematical physics. Volume 2012(2012)
• Publication Date: 2011-11-10
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Electronic journals; Periodicals; 530.15
• DOI: 10.5402/2012/260951
• Languages: English
• ISSNs: 2090-4673

Abstract

Abstract : The aim of this paper is twofolded. (1) Showing that Newtonian mechanics of point particles in static potentials admits an alternative description in terms of effective riemannian spacetimes . (2) Using the above geometrization scheme to investigate aspects of the gravitational field as it appears in the Einstein theory. It is shown that the mechanical (3 + 1) effective metrics are quite similar to Gordon's metric, as it is suggested by the well-known optical-mechanical analogy. Some special potentials are worked out.