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Newtonian gravitational field theory

НьУтОНОВскАь тЕОРИь гРАВИтАцИОННОгО пОл ь

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Il Nuovo Cimento B (1971-1996)

Summary

This paper was inspired by Bondi’s formula for gravitational energy transfer, and recent work on this by Cooperstock and Booth. It concerns only Newtonian gravitation and aims at clarifying the concept of energy in this context. Use is made of gravitational energy density, suggested by Maxwell, but not acceptable to him since it is negative.

Riassunto

Questo articolo è stato ispirato dalla formula di Bondi per il trasferimento di energia gravitazionale e da recenti lavori su questo argomento di Cooperstock e Booth. Esso riguarda solo la gravitazione newtoniana ed intende chiarire il concetto di energia in questo contesto. Si fa uso delia densità di energia gravitazionale, suggerita da Maxwell, ma da lui ritenuta inaccettabile poiché è negativa.

РЕжУМЕ

ЁтА РАБОтА ИНспИРИРО ВАНА ФОРМУлОИ БОНДИ Дль пЕРЕНОсА гРАВИтА цИОННОИ ЁНЕРгИИ И НЕДАВНЕИ РА БОтОИ НА тУ жЕ тЕМУ кУп ЕРстОкА И БУтА. В ЁтОИ РАБОтЕ РАссМАтРИВАЕтсь тОл ькО НьУтОНОВскАь гРА ВИтАцИь И ДЕлАЕтсь пОпыткА РАж ЩьсНИть пОНьтИЕ ЁНЕРгИИ В ЁтО М кОНтЕкстЕ. ИспОльжУ Етсь плОтНОсть гРАВИтАцИ ОННОИ ЁНЕРгИИ, кОтОРАь БылА пРЕДлОж ЕНА МАксВЕллОМ, НО Был А НЕпРИЕМлЕМА Дль НЕгО, т.к. пРЕДстАВльЕт ОтРИцАтЕльНУУ ВЕлИЧ ИНУ.

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References

  1. J. C. Maxwell:The Scientific Papers of James Clerk Maxwell, Vol. 1 (New York, 1965), p. 571.

  2. H. Bondi: inLectures on General Relativity, Brandeis Summer Institute in Theoretical Physics, 1964, Vol.1 (Englewood Cliffs, N.J., 1965), p. 433.

  3. F. I. Coopekstock andD. J. Booth:Nuovo Cimento,2 B, 139 (1971).

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  4. J. L. Synge:Relativity. The General Theory (Amsterdam, 1964), p. 237.

  5. C. Truesdell andR. Toupin refer to (2.4) asCauchy’s first law of motion and give historical references inHandbuch der Physik, Vol. 3/1 (Berlin, 1960), p. 545.

  6. R. A. Lyttleton:The Stability of Rotating Liquid Masses (Cambridge, 1953), p. 35.

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Synge, J.L. Newtonian gravitational field theory. Nuov Cim B 8, 373–390 (1972). https://doi.org/10.1007/BF02743666

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  • DOI: https://doi.org/10.1007/BF02743666

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