The perihelion of Mercury advance and the light bending calculated in (enhanced) Newton?s theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F14%3A%230005086" target="_blank" >RIV/47813059:19240/14:#0005086 - isvavai.cz</a>
Alternative codes found
RIV/67985815:_____/14:00442181
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10714-013-1630-x" target="_blank" >http://link.springer.com/article/10.1007%2Fs10714-013-1630-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10714-013-1630-x" target="_blank" >10.1007/s10714-013-1630-x</a>

Result language
angličtina
Original language name
The perihelion of Mercury advance and the light bending calculated in (enhanced) Newton?s theory
Original language description
We show that results of a simple dynamical gedanken experiment interpreted according to standard Newton's gravitational theory, may reveal that three-dimensional space is curved. The experiment may be used to reconstruct the curved geometry of space, i.e. its non-Euclidean metric {}^3g_{ik}. The perihelion of Mercury advance and the light bending calculated from the Poisson equation {}^3g_{ik} nabla_i nabla_k Phi = -4pi G rho and the equation of motion F^i = ma^i in the curved geometry {}^3g_{ik} 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 rho.Like in Einstein's general relativity, matter is the source of curvature. In the spherically symmetric (vacuum) case, the metric of space {}^3g_{ik} that follows from this extra equation agrees, to the expected accuracy, with the metric
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BN - Astronomy and celestial mechanics, astrophysics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.20.0071" target="_blank" >EE2.3.20.0071: Supporting Integration with the International Theoretical and Observational Research Network in Relativistic Astrophysics of Compact Objects</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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