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Conformally invariant theory of gravity with internal symmetry

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Il Nuovo Cimento B (1971-1996)

Summary

The Einstein-Hilbert action is rewritten in conformally invariant form by the introduction of a multiplet of scalar fields which is an (N+1)-dimensional representation of anO(1,N) group. A negative-energy difficulty associated with noncompact symmetry of the internal space can be solved by choosing a unit where the gravitational coupling is kept constant. In this unit, the field equations become the same as those of theO(1,N) nonlinear sigma model coupled with gravity.

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References

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Authors and Affiliations

  1. Department of Physics, Waseda University, 169, Tokyo, Japan

    H. Okamoto

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  1. H. Okamoto
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Okamoto, H. Conformally invariant theory of gravity with internal symmetry. Nuov Cim B 106, 1167–1171 (1991). https://doi.org/10.1007/BF02728362

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  • DOI: https://doi.org/10.1007/BF02728362

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