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Do Bosons Feel Spin Frames?

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Abstract

In order to allow a coherent dynamicalspinor-matter coupling in a previous paper of ours weintroduced new variables to describe gravitationalfield, related to spin structures and called spinframes. A natural action of spacetime diffeomorphismson spin frames cannot be defined. Accordingly they mustbe treated as a sort of gauge fields, i.e. they must beconsidered to be covariant with respect to automorphisms of some suitable principal bundle. In thispaper we analyze what happens when general bosonicmatter and gauge fields interacting with gravity(described by spin frames) are considered. As should beexpected, such a theory reduces to a theory in whichgravity is described by means of a metric alone.Conserved quantities are also considered indetail.

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REFERENCES

  1. Fatibene, L., Ferraris, M., Francaviglia, M., Godina, M. (1998). Gen. Rel. Grav. 30, 1371.

    Google Scholar 

  2. Fatibene, L., Ferraris, M., Francaviglia, M., Godina, M. (1996). In Proc. 6th Int. Conf. on Differential Geometry and its Applications (August 24–28 1995, Brno, Czech Republic), J. Janyska, I. Kolãr, J. Slovak I., eds. (MU University, Brno), p. 549.

    Google Scholar 

  3. Kosmann, Y. (1972). Ann. di Matematica Pura e Appl. 91, 317.

    Google Scholar 

  4. van den Heuvel, B. M. (1994). J. Math. Phys. 35, 1668.

    Google Scholar 

  5. Geroch, R. (1968). J. Math. Phys. 9, 1739.

    Google Scholar 

  6. Penrose, R. (1982). Proc. R. Soc. Lond. A 381, 53.

    Google Scholar 

  7. Fatibene, L., Ferraris, M., Francaviglia, M. (1997). J. Math. Phys. 38, 3953.

    Google Scholar 

  8. Kolãr, I., Michor, P. W., Slovák, J. (1993). Natural Operations in Differential Geometry (Springer-Verlag, New York).

  9. Fatibene, L., Francaviglia, M. (1999). Gauge-Natural Field Theories, to appear.

  10. Ferraris, M., Francaviglia, M. (1991). In Mechanics, Analysis and Geometry: 200 Years after Lagrange, M. Francaviglia, ed. (Elsevier Science Publishers), p. 451.

  11. Fatibene, L., Ferraris, M., Francaviglia, M. (1994). J. Math. Phys. 35, 1644.

    Google Scholar 

  12. Ferraris, M., Francaviglia, M. (1985). J. Math. Phys. 26, 1243.

    Google Scholar 

  13. Giachetta, G., and Sardanashvily, G. (1995). “Stress-Energy-Momentum Tensor in Lagrangian Field Theory. Part I: Superpotentials.” E-print: gr-qc@xxx.lanl.gov (grqc/9510061).

  14. Giachetta, G., and Sardanashvily, G. (1995). “Stress-Energy-Momentum of Affine-Metric Gravity. Generalized Komar Superpotentials.” E-print: gr-qc@xxx.lanl.gov (gr-qc/9511008).

  15. Greub, W., Petry, H. R. (1978). In Lecture Notes in Mathematics 676 (Springer-Verlag, New York), p. 217.

  16. García, P. L. (1972). Rend. Sem. Mat. Univ. Padova 47, 227; (1977). J. Diff. Geom. 12, 209.

    Google Scholar 

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Authors
  1. L. Fatibene
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  2. M. Ferraris
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  3. M. Francaviglia
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Fatibene, L., Ferraris, M. & Francaviglia, M. Do Bosons Feel Spin Frames?. General Relativity and Gravitation 31, 1115–1130 (1999). https://doi.org/10.1023/A:1026700119013

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