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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
The perihelion of Mercury advance and the light bending calculated in (enhanced) Newton's theory
General Relativity and Gravitation, Volume 46, No. 1, Article 1630, Year 2014
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Description
We show that results of a simple dynamical gedanken experiment interpreted according to standard Newton's gravitational theory, may reveal that threedimensional space is curved. The experiment may be used to reconstruct the curved geometry of space, i.e. its non-Euclidean metric 3gik. The perihelion of Mercury advance and the light bending calculated from the Poisson equation 3gik∇i∇kΦ = -4πGρ and the equation of motion Fi = mai in the curved geometry 3gik have the correct (observed) values. Independently, we also show that Newtonian gravity theory may be enhanced to incorporate the curvature of three dimensional space by adding an extra equation which links the Ricci scalar 3R with the density of matter ρ. Like in Einstein's general relativity, matter is the source of curvature. In the spherically symmetric (vacuum) case, the metric of space 3gik that follows from this extra equation agrees, to the expected accuracy, with the metric measured by the Newtonian gedanken experiment mentioned above. © 2013 The Author(s).
Authors & Co-Authors
Abramowicz, Marek Artur
Sweden, Gothenburg
Göteborgs Universitet
Poland, Warsaw
Nicolaus Copernicus Astronomical Center of the Polish Academy of Sciences
South Africa, Cape Town
University of Cape Town
Czech Republic, Ondrejov
Astronomical Institute, Academy of Sciences of the Czech Republic V.v.i.
Czech Republic, Opava
Slezská Univerzita V Opave
Ellis, George Francis Rayner
South Africa, Cape Town
University of Cape Town
Horák, Jǐrí
Poland, Warsaw
Nicolaus Copernicus Astronomical Center of the Polish Academy of Sciences
Czech Republic, Ondrejov
Astronomical Institute, Academy of Sciences of the Czech Republic V.v.i.
Czech Republic, Opava
Slezská Univerzita V Opave
Wielgus, MacIek Iej
Poland, Warsaw
Nicolaus Copernicus Astronomical Center of the Polish Academy of Sciences
Czech Republic, Ondrejov
Astronomical Institute, Academy of Sciences of the Czech Republic V.v.i.
Czech Republic, Opava
Slezská Univerzita V Opave
Poland, Warsaw
Institute of Micromechanics and Photonics
Statistics
Citations: 4
Authors: 4
Affiliations: 6
Identifiers
Doi:
10.1007/s10714-013-1630-x
ISSN:
00017701
e-ISSN:
15729532
Study Approach
Quantitative