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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/67985815:_____/14:00442181

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BN - Astronomie a nebeská mechanika, astrofyzika

OECD FORD obor

—

Projekt

<a href="/cs/project/EE2.3.20.0071" target="_blank" >EE2.3.20.0071: Podpora zapojení do mezinárodních sítí teoretického a observačního výzkumu v oblasti relativistické astrofyziky kompaktních objektů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

General Relativity and Gravitation

ISSN

0001-7701

e-ISSN

—

Svazek periodika

46

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

"1630 - 1"-"1630 - 14"

Kód UT WoS článku

000333634900017

EID výsledku v databázi Scopus

—