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Chiral Actions and Einstein's Vacuum Equations

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Abstract

The Euler–Lagrange equations of recentlyintroduced chiral action principles are discussed usingLie algebra-valued differential forms. Symmetries of theequations and the chiral description of Einstein's vacuum equations are presented. A class ofLagrangians which contains the chiral formulations isexhibited.

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REFERENCES

  • Barbero, G. (1994). International Journal of Modern Physics, 3, 379.

    Google Scholar 

  • Bars, I., and MacDowell, S. W. (1977). Physics Letters, 71B, 111.

    Google Scholar 

  • Bars, I., and MacDowell, S. W. (1979). General Relativity and Gravitation, 10, 205.

    Google Scholar 

  • Mason, L. J., and Woodhouse, N. M. (1996). Integrability, Self-Duality and Twistor Theory, Clarendon Press, Oxford.

    Google Scholar 

  • Penrose, R., and Rindler W. (1984). Spinors and Space-Time, Vol. 1, Cambridge University Press, Cambridge.

    Google Scholar 

  • Robinson, D. C. (1996). Classical and Quantum Gravity, 13, 307.

    Google Scholar 

  • Tung, R. S. (1996). A vector spinor formulation for general relativity, Ph.D. Dissertation, National Central University, Taiwan.

    Google Scholar 

  • Tung, R. S., and Jacobson, T. (1995). Classical and Quantum Gravity, 12, L51.

    Google Scholar 

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Robinson, D.C. Chiral Actions and Einstein's Vacuum Equations. International Journal of Theoretical Physics 37, 2067–2078 (1998). https://doi.org/10.1023/A:1026681700956

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  • DOI: https://doi.org/10.1023/A:1026681700956

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