DE LA RELATIVIDAD DE LA INERCIA AL UNIVERSO CERRADO

Favio Ernesto Cala Vitery; Adrián Ricardo Gómez Plata; Javier Fernando Ramos Caro

doi:10.18257/raccefyn.31(118).2007.2319

Vol. 31 No. 118 (2007), Natural Sciences

Vol. 31 No. 118 (2007)

FROM THE RELATIVITY OF INERTIA TO THE CLOSED UNIVERSE

Natural Sciences

https://doi.org/10.18257/raccefyn.31(118).2007.2319

Published 2023-12-02

Favio Ernesto Cala Vitery⁺⁻
Adrián Ricardo Gómez Plata⁺⁻
Javier Fernando Ramos Caro⁺⁻

Favio Ernesto Cala Vitery

Universidad Industrial de Santander. Bucaramanga

Adrián Ricardo Gómez Plata

Universidad Militar Nueva Granada. Bogotá. Colombia. Investigador del Grupo Matrix UMNG.

Javier Fernando Ramos Caro

Universidad Industrial de Santander, Bucaramanga. Colombia, Investigador del Grupo Matrix UMNG.

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How to Cite

Cala Vitery, F. E., Gómez Plata, A. R., & Ramos Caro, J. F. (2023). FROM THE RELATIVITY OF INERTIA TO THE CLOSED UNIVERSE. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 31(118), 97–108. https://doi.org/10.18257/raccefyn.31(118).2007.2319

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Abstract

Searching for the field equations of general relativity, Einstein was confident that these could naturally result in agreement with Mach's ideas on the material origin of inertia. However, when, with the important assistance of the mathematician Marcel Grossman, he was able to find tensor field equations, he was forced to struggle facing several problems to overcome the apparent Machian failure of his preliminary gravitation theory. Einstein's strategies to implement Mach's 'relativity of inertia' included highly restrictive boundary conditions, limiting general covariance, and, finally, modified closed cosmology. This article surveys this entangled history.

https://doi.org/10.18257/raccefyn.31(118).2007.2319

Keywords

Inertia | Relativity | CosmoJogy | Mach | Einstein

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References

De Sitter, W. (1916) 'On the relativity of inertia in Einstein's theory', Proceedings of the Section of Sciences, Koninklijke Akademie van Wettenschappen, 19, pp. 527-532.

De Sitter, W. (1917) 'On Einstein's theory of gravitation and its astronomical consequences. Third paper', Monthly Notices of the Royal Astronomical Society, 78, pp. 3-28.

Barbour, J. (1995) 'Selected Passages on Machian Ideas', en Einstein Studies, vol. 6, pp. 180-187. Birkhauser. Boston.

Earman, J. (1986) A Primer on Determinism. D. Reidel. Dordrecht, The Netherlands.

Earman, J. & Norton, J. (1987) 'What Price Space-Time Substantivalism? The Hole Story', British Journal for The Philosophy of Science, 38, pp. 515-525.

Einstein, A. (1912) 'Gibt es eine Gravitationswirkung die der elektrodynamischen Induktionswirkung analog ist?', Vierteljahrschrift für Gerichtliche Medizin, 44, pp. 37-40.

Einstein, A. (1913a) 'Physikalische Grundlagen einer Gravitationstheorie', Naturforschende Gesellschaft Vierteljahrschrift, 58, pp. 284-290.

Einstein, A. (1913b) 'Zum gegenwärtigen Stande des Gravitationsproblems', Physikalische Zeitschrift, 14, pp. 1249-1266.

Einstein, A. (1916) 'Die Grundlage der allgemeinen Relativitätstheorie', Annalen der Physik, 49, (translation published in: The Principle of Relativity, collection of papers by A. Einstein et al., Dover, New York, 1952, pp. 111-164.

Einstein, A. (1917) 'Cosmological Considerations on The General Theory of Relativity', en The Principle of Relativity, pp. 177-188. Dover. New York. 1952.

Einstein, A. (1918) 'Prinzipielles zur allgemeinen Relativitätstheorie', Annalen der Physik, 55, pp. 241-244.

Einstein, A. (1993) The Collected Papers of Albert Einstein, Volume 5: The Swiss Years: Correspondence, 1902-1914. Martin J. Klein, A. J. Kox & Robert Schulmann (Eds). Princeton University Press. Princeton.

Friedman, M. (1983) Foundations of Space-Time Theories. Princeton University Press. Princeton.

Hawking, S. W. & Ellis, G. F. R. (1973) The Large Scale Structure of Space-Time. Cambridge University Press. Cambridge.

Hoefer, C. (1994) 'Einstein's Struggle for a Machian Gravitation Theory', Studies for the History and Philosophy of Science, 25 (3), pp. 287-335.

Kretschman, E. (1917) Annalen der Physik 53, pp. 576-591.

Mach, E. (1883) The Science of Mechanics. Trad. de T. J McCormack. Open Court. La Salle, Illinois. 1960.

Norton, J. D. (1989a) 'What Was Einstein's Principle of Equivalence?', en Howard, D. & Stachel, J., (eds.) Einstein and the History of General Relativity, pp. 5-47. Birkhauser. Boston.

Norton, J. D. (1989b) 'How Einstein found his Field Equations, 1912-1915', en Howard, D. & Stachel, J., (eds.) Einstein and the History of General Relativity, pp. 101-159. Birkhauser. Boston.

Ono, Y. A. (1983) 'Einstein's Speech at Kyoto University, December 14, 1922', NTM. Schriftenreihe für Geschichte der Naturwissenschaften, Technik, und Medizin, 20, pp. 26-27.

Stachel, J. (1989a) 'The Rigidly Rotating Disc as the Missing Link in the History of General Relativity', en Howard, D. & Stachel, J., (eds.) Einstein and the History of General Relativity, pp. 48-62. Birkhauser. Boston.

Stachel, J. (1989b) 'Einstein's Search for General Covariance, 1912-1915', en Howard, D. and Stachel, J., (eds.) Einstein and the History of General Relativity, pp. 63-100. Birkhauser. Boston.

Wald, R. M. (1984) General Relativity. University of Chicago Press. Chicago.

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