Abstract
The field equations of the quadratic action principle of relativity are solved, assuming a weak perturbation of the basic structure, which is a highly agitated Riemannian lattice field of a very small lattice constant. A field emerges which can be interpreted as the weak gravitational field of an apparently Minkowskian space. This field does not coincide with Einstein's theory of weak gravitational fields. Whereas the redshift remains unchanged, the light deflection becomes reduced by11.1% of the value predicted by Einstein.
Similar content being viewed by others
References
R. Courant and D. Hilbert,Methods of Mathematical Physics, I (Interscience, New York, 1953).
A. Einstein,Berlin Academy Proc. 1928, 217.
H. Weyl,Z. f. Phys. 56, 330 (1929).
N. Wiener,Nature 123, 944 (1929).
C. Lanczos,Found. Phys. 4, 137 (1974).
C. Lanczos,Space Through the Ages (Academic Press, New York, 1970).
J. L. Synge,Relativity, The General Theory (North-Holland, Amsterdam, 1960).
C. M. Will,Physics Today 25(10), 23 (1972).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lanczos, C. Gravitation and Riemannian space. Found Phys 5, 9–18 (1975). https://doi.org/10.1007/BF01100310
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01100310