Non-Euclideanism in general relativity and cosmology

Details Non-Euclideanism in general relativity and cosmology Non-Euclideanism in general relativity and cosmology

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.127..117s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 127, Nov. 1986, p. 117-131.

Astronomy and Astrophysics

Astrophysics

3

Big Bang Cosmology, Degrees Of Freedom, Euclidean Geometry, Relativity, Astronomical Models, Universe

Scientific paper

Consideration is given to the possibility that the whole matter of the universe possesses a dilatational degree of freedom. This effect is assumed to be a cause requiring the use of non-Euclidean geometry in the framework of general relativity and cosmology. In this case, however, the author asserts that non-Euclideanism does not reflect an intrinsic property of the space. Accordingly he proposes the concept of a finite and unbounded universe whose extent has nothing to do with the shape of the hypersphere.

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