Mimicking General Relativity with Newtonian Dynamics | Zendy

Érico Goulart | Zendy

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Mimicking General Relativity with Newtonian Dynamics

Author(s) -

Érico Goulart

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/260951

Subject(s) - analogy , einstein , general relativity , classical mechanics , newtonian fluid , physics , gravitational field , theoretical physics , newtonian dynamics , metric (unit) , theory of relativity , gravitation , point (geometry) , mathematical physics , mathematics , philosophy , epistemology , geometry , engineering , operations management

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

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