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Yang's Gravitational Theory

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Abstract

Yang's pure space equations generalize Einstein's gravitational equations, while coming from gauge theory. We study these equations from a number of vantage points: summarizing the work done previously, comparing them with the Einstein equations and investigating their properties. In particular, the initial value problem is discussed and a number of results are presented for these equations with common energy-momentum tensors.

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REFERENCES

  1. Yang, C. N. (1974). Phys. Rev. Lett.33, 445.

    Google Scholar 

  2. Pavelle, R. (1974). Phys. Rev. Lett.33, 1461.

    Google Scholar 

  3. Pavelle, R. (1975). Phys. Rev. Lett.34, 1114.

    Google Scholar 

  4. Thompson, A. H. (1975). Phys. Rev. Lett.35, 320.

    Google Scholar 

  5. Thompson, A. H. (1975). Phys. Rev. Lett.34, 507.

    Google Scholar 

  6. Ni, W.-T. (1975). Phys. Rev. Lett.35, 319.

    Google Scholar 

  7. Chen-lung, C., Han-ying, G., Shi, C., and Zuo-xiu, H. (1976). Acta Astr. Sinica17, 147.

    Google Scholar 

  8. Chen-lung, C., Han-ying, G., Shi, C., and Zuo-xiu, H. (1977). Chinese Astronomy1, 292.

    Google Scholar 

  9. Aragone, C., and Restuccia, A. (1978). Gen. Rel. Grav.9, 409.

    Google Scholar 

  10. Mielke, E. W. (1981). Gen. Rel. Grav.13, 175.

    Google Scholar 

  11. Baekler, P., Hehl, F. W., and Mielke, E. W. (1982). In Proc. II Marcel Grossmann meeting in General Relativity, R. Ruffini, ed. (North Holland Publishing Company, Amsterdam), p. 413.

    Google Scholar 

  12. Maluf, J. (1988). Class. Quantum Grav.5, L81.

    Google Scholar 

  13. Maluf, J. (1991). J. Math. Phys.32, 1556.

    Google Scholar 

  14. Szczyrba, V. (1987). Phys. Rev. D36, 351.

    Google Scholar 

  15. van Putten, M. H. P. M. (1994). In Proc. November 6-8 Meeting of the Grand Challenge Alliance on Black Hole Collisions, E. Seidel, ed. (NCSA).

  16. Kundt, W. (1961). Z. Phys. 163, 77.

    Google Scholar 

  17. Herlt, E., Kramer, D., MacCallum, M. and Stephani, H. (1980). Exact Solutions of Einstein's Equations, E. Schmutzer, ed. (Cambridge University Press, Cambridge).

    Google Scholar 

  18. Penrose, R., and Rindler, W. (1982). Spinors and Spacetime(Cambridge University Press, Cambridge).

    Google Scholar 

  19. Hall, G. S. (1982). The Classification of Second Order Symmetric Tensors in General Relativity Theory(Banach Center Publications, Vol. 12. Polish Scientific Publishers, Warsaw).

    Google Scholar 

  20. Lichnerowicz, A. (1967). Relativistic Hydrodynamics and Magnetohydrodynamics(Benjamin, New York).

    Google Scholar 

  21. Foures-Bruhat, Y. (1952). Acta Math.88, 141.

    Google Scholar 

  22. Hughes, T., Kato, T., and Marsden, J. (1976). Arch. Rat. Mech. and Anal.63, 276.

    Google Scholar 

  23. Choquet-Bruhat, Y., and York, J. (1997). In Gravitation, Electromagnetism and Geometric Structures, G. Ferrarese, ed. (Pythagora Editrice, Bologna).

    Google Scholar 

  24. Kerner, R. (1974). Ann. Inst. H. PoincaréXX.3, 279.

    Google Scholar 

  25. Eardley, D. M., and Moncrief, V. (1982). Commun. Math. Phys.83, 171.

    Google Scholar 

  26. Eardley, D. M., and Moncrief, V. (1982). Commun. Math. Phys.84, 193.

    Google Scholar 

  27. Klainerman, S., and Machedon, M. (1995). Ann. Math.142, 39.

    Google Scholar 

  28. Hawking, S. W., and Ellis, G. F. R. (1973). The Large Scale Structure of Space-Time(Cambridge University Press, Cambridge).

    Google Scholar 

  29. Choquet-Bruhat, Y., and Paneitz, S. M., and Segal, I. E. (1983). J. Funct. Anal.53, 112.

    Google Scholar 

  30. Yang, Y. (1990). J. Math. Phys.31, 1237.

    Google Scholar 

  31. Choquet-Bruhat, Y., Christodoulou, D., and Francavi glia, M. (1978). Ann. Inst. H. Poin caréXXIX.3, 241.

    Google Scholar 

  32. Guilfoyle, B. (1997). “The Cauchy initial value problem for Yang-Mills metrics”. PhD thesis, University of Texas at Austin.

  33. Krasiński, A. (1997). In homogeneous cosmological models(Cambridge University Press, Cambridge).

    Google Scholar 

  34. Ellis, G. F. R. (1971). In Proc. International School of Physics “Enrico Fermi,” XLVII-General Relativity and Cosmology (Varenna, 30 June-12 July 1969), B. K. Sachs, ed. (Academic Press, New York).

    Google Scholar 

  35. Pavelle, R. (1976). Phys. Rev. Lett.37, 961.

    Google Scholar 

  36. Trautman, A. (1979). Bull. Acad. Polon. Sci. Series 9, Sci. Phys. Astronom.27, 7.

    Google Scholar 

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Guilfoyle, B.S., Nolan, B.C. Yang's Gravitational Theory. General Relativity and Gravitation 30, 473–495 (1998). https://doi.org/10.1023/A:1018815027071

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  • DOI: https://doi.org/10.1023/A:1018815027071

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