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Differential geometry of spacetime tangent bundle

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Abstract

Conditions are investigated under which the Levi-Civita connection of the spacetime tangent bundle corresponds to that of a generic tangent bundle of a Finsler manifold. Also, requirements are specified for the spacetime tangent bundle to be almost complex or Kählerian.

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References

  • Bejancu, A. (1990).Finsler Geometry and Applications, Ellis Horwood, New York.

    Google Scholar 

  • Brandt, H. E. (1983).Lettere Nuovo Cimento,38, 522.

    Google Scholar 

  • Brandt, H. E. (1984a).Lettere Nuovo Cimento,39, 192.

    Google Scholar 

  • Brandt, H. E. (1984b). The maximal acceleration group, inProceedings, XIII International Colloquium on Group Theoretical Methods in Physics, W. W. Zachary, ed., World Scientific, Singapore, p. 519.

    Google Scholar 

  • Brandt, H. E. (1987a). Maximal acceleration invariant phase space, inThe Physics of Phase Space, Y. S. Kim and W. W. Zachary, eds., Springer, Berlin, p. 414.

    Google Scholar 

  • Brandt, H. E. (1987b). Differential geometry and gauge structure of maximal-acceleration invariant phase space, inProceedings XVth International Colloquium on Group Theoretical Methods in Physics, R. Gilmore, ed., World Scientific, Singapore, p. 569.

    Google Scholar 

  • Brandt, H. E. (1989a).Foundations of Physics Letters,2, 39, 405.

    Google Scholar 

  • Brandt, H. E. (1989b). Maximal proper acceleration and the structure of spacetime, inProceedings of the Fifth Marcel Grossmann Meeting on General Relativity, D. G. Blair, M. J. Buckingham, and R. Ruffini, eds., World Scientific, Singapore, p. 777.

    Google Scholar 

  • Brandt, H. E. (1989c). Kinetic theory in maximal-acceleration invariant phase space, inProceedings International Symposium on Spacetime Symmetries, Y. S. Kim and W. W. Zachary, eds.,Nuclear Physics B, Proceedings Supplement,6, 367.

  • Brandt, H. E. (1991a). Structure of spacetime tangent bundle, inProceedings of the Sixth Marcel Grossmann Meeting on General Relativity, H. Sato and T. Nakamura, eds., World Scientific, Singapore.

    Google Scholar 

  • Brandt, H. E. (1991b).Foundation of Physics Letters,4, 523.

    Google Scholar 

  • Brandt, H. E. (1991c). Connection and geodesics in the spacetime tangent bundle, inProceedings XXth International Conference on Differential Geometric Methods in Theoretical Physics, S. Catto, ed., World Scientific, Singapore, to appear.

    Google Scholar 

  • Parentani, R., and Potting, R. (1989).Physical Review Letters,63, 945.

    Google Scholar 

  • Sakai, N. (1986). Hawking radiation in string theories, inParticles and Nuclei, H. Terazawa, ed., World Scientific, Singapore, p. 286.

    Google Scholar 

  • Yano, K. (1965).Differential Geometry on Complex and Almost Complex Spaces, Pergamon Press, New York.

    Google Scholar 

  • Yano, K., and Davies, E. T. (1963).Rend. Circ. Mat. Palermo,12, 211.

    Google Scholar 

  • Yano, K., and Ishihara, S. (1973).Tangent and Cotangent Bundles, Marcel Dekker, New York.

    Google Scholar 

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Authors and Affiliations

  1. Harry Diamond Laboratories, 20783, Adelphi, Maryland

    Howard E. Brandt

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  1. Howard E. Brandt
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This paper is an expanded version of an invited paper presented at the Second International Wigner Symposium, Goslar, Germany, July 1991.

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Brandt, H.E. Differential geometry of spacetime tangent bundle. Int J Theor Phys 31, 575–580 (1992). https://doi.org/10.1007/BF00740006

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  • DOI: https://doi.org/10.1007/BF00740006

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