Abstract
If we study the de Sitter universe with the methods of projective geometry, we obtain a new mechanics valid on a cosmic scale and for hyperdense matter. In this projective mechanics the mass varies with the space-time distance, and the linear and angular momentum are reunited in a single projective tensor.
Similar content being viewed by others
References
Arcidiacono, G. (1976).Gen. Rel. Grav.,7, 885; (1973).Relatività e Cosmologia (Libreria Veschi, Viale Università 7, Roma).
Arcidiacono, G. (1956).Rend. Accad. Lincei,20, 463.
Mallett, R. L., and Fleming, G. N. (1973).J. Math. Phys.,14, 45; Kerner, E. H. (1976)Ibid.,17, 1797.
Castelnuovo, G. (1930).Rend. Accad. Lincei,12, 263; Fantappié, L. (1954).Rend. Accad. Lincei,17, 158.
Arcidiacono, G. (1969).Collect. Math. (Barcelona),20, 231.
Milne, E. A. (1948).Kinematic Relativity (Clarendon Press, Oxford), p. 71.
Arcidiacono, G. (1968).Coll. Math.,19, 177.
Gürsey, F. (1964).Group Theoretical Concepts and Methods in Elementary Particle Physics (Gordon and Breach, New York), p. 374.
Arcidiacono, G. (1976).The De Sitter Universe and tachyons. Seminar on Tachyons and Related Topics, Erice; Recami, E., and Mignani, R. (1974).Gen. Rel. Grav.,5, 615.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Arcidiacono, G. The de Sitter universe and mechanics. Gen Relat Gravit 8, 865–870 (1977). https://doi.org/10.1007/BF00759590
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00759590