Hypergravitational field equations

Details Hypergravitational field equations Hypergravitational field equations

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..59.1265f&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 59, Sept. 21, 1987, p. 1265, 1266.

Other

4

Einstein Equations, Field Theory (Physics), Gravitational Fields, Cosmology, Hilbert Space, Space-Time Functions, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Field Theories In Dimensions Other Than Four

Scientific paper

Einstein's field equations and Hilbert's action for gravity are extended to the hyperspace of dimension N-squared that is built out of N-component spinors in the way that four-dimensional time-space is built out of two-component ones. The hypergravitational field equation is of differential order N in a chronometric tensor with N indices. The natural spin structures of the unitary groups U(N) define Einstein-type cosmologies, static, U(N)-invariant, and closed, that satisfy the extended equations with neither dust nor cosmological constant, except for N = 2 which requires both.

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