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On the structure of gravitationalU 4-field equations

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Abstract

We use the exterior calculus and some decomposition techniques within this formalism in order to make the in general very complicated structure ofU 4-field equations of gravity more transparent. As a result, some of the equations take on a rather simple form, which can even be given in several equivalent versions according to various requirements. Furthermore, we study models in diverse dimensions and give classes of solutions under certain assumptions.

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References

  1. Schouten, J. A. (1954).Ricci-Calculus (Springer, Berlin).

    Google Scholar 

  2. Wallner, R. P. (1982).Acta Phys. Austr.,54, 165.

    Google Scholar 

  3. Wallner, R. P. (1980).Gen. Rel. Grav.,12, 719.

    Google Scholar 

  4. Baekler, P., Hehl, F. W., and Mielke, E. W. (1982). Preprint IC/80/140, Triest (1980), inProceedings of the 2nd M. Grossmann Meeting on the Recent Progress of the Fundamentals of General Relativity, R. Ruffini, ed. (North-Holland, Amsterdam).

    Google Scholar 

  5. Baekler, P., Hehl, F. W., and Lenzen, H. J. (1984). InProceedings of the 3rd M. Grossmann Meeting on the Recent Developements in General Relativity, Shanghai 1982, Hu Ning, ed. (World Science Publishers, Singapore).

    Google Scholar 

  6. Lenzen, H. J. (1984). On space-time models with axial torsion: Some vacuum solutions of the Poincaré gauge field theory of gravity, Cologne preprint.

  7. Bishop, R. L., and Crittenden, R. J. (1964).Geometry of Manifolds (Academic, New York).

    Google Scholar 

  8. Wallner, R. P. (1983).Acta Phys. Austr.,55, 67.

    Google Scholar 

  9. Kobayashi, S., and Nomizu, K. (1969).Foundations of Differential Geometry (2 vols.), Interscience Tracts in Pure and Applied Mathematics, No. 15 (Interscience, New York).

    Google Scholar 

  10. Thirring, W., and Wallner, R. P. (1978).Rev. Bras. Fis.,8, 686.

    Google Scholar 

  11. Wallner, R. P., and Urbantke, H. K. (1984).Acta Phys. Austr. (to be published).

  12. Kramer, D., Stephani, H., MacCallum, M., and Herlt, E. (1980). Exact Solutions of Einstein's Field Equations (VEB Deutscher Verlag der Wissenschaften, Berlin).

    Google Scholar 

  13. Hehl, F. W., and Datta, B. K. (1971).J. Math. Phys.,12, 1334; Rumpf, H. (1979).Gen. Rel. Grav.,10, 647.

    Google Scholar 

  14. Wallner, R. P. Exact solutions inU 4Gravity, in preparation.

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  1. Institut für Theoretische Physik, Universität Zürich, Zürich, Switzerland

    R. P. Wallner

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  1. R. P. Wallner
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Wallner, R.P. On the structure of gravitationalU 4-field equations. Gen Relat Gravit 17, 1081–1107 (1985). https://doi.org/10.1007/BF00774210

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