Hypergravitational field equations

David Finkelstein, Shlomit Ritz Finkelstein, and Christian Holm
Phys. Rev. Lett. 59, 1265 – Published 21 September 1987
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Abstract

We extend Einstein’s field equations and Hilbert’s action for gravity to the hyperspace of dimension N2 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.

  • Received 1 June 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.1265

©1987 American Physical Society

Authors & Affiliations

David Finkelstein, Shlomit Ritz Finkelstein, and Christian Holm

  • School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332

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Issue

Vol. 59, Iss. 12 — 21 September 1987

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