Abstract
Utilizing a geometric interpretation of gravitation within the framework of Einstein's general relativity, it is found that only expanding, spatially isotropic universes are allowed. The law of gravitation is taken in the formR 44=0 whereR 44 is the component of the contracted Riemann-Christoffel (Ricci) tensor representing the curvature of time. All that is required in addition toR 44=0 is that the Gaussian curvatureRbe nowhere infinite.
Similar content being viewed by others
References
Albert Einstein,The Meaning of Relativity (Princeton, 1955).
R. C. Tolman,Relativity Thermodynamics and Cosmology (Oxford, 1962).
G. C. McVittie,Cosmological Theory (Methuen, London, 1952).
A. S. Eddington,The Mathematical Theory of Relativity (Cambridge, 1954).
J. P. Kobus,Found. Phys. 3, 45 (1973).
A. Sandage,Astrophys. J. 127, 513 (1958).
J. A. Wheeler, inPhilosophy of Science, Vol. 2, B. E. Baumrin, ed. (Interscience, New York, 1963), pp. 503–504.
W. K. Clifford,Proc. Camb. Phil. Soc. 2, 157 (1876).
Albert Einstein,Ideas and Opinions (Crown Publishers, New York, 1954), pp. 306–307 and 320.
Louis de Broglie,Non-Linear Wave Mechanics, A Causal Interpretation (Elsevier, New York, 1960), pp. 291–292.
G. Mie,Ann. Physik 37, 39, 40 (1912–1913).
Huseyin Yilmaz,Phys. Rev. 111 (5), 1417 (1958).
J. P. Kobus and M. Z. Nashed,Found. Phys. 1(4), 329 (1971).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kobus, J.P. Cosmological implications of a new law of gravitation. Found Phys 4, 53–64 (1974). https://doi.org/10.1007/BF00708554
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00708554