Polynomial form of the Hilbert–Einstein action (original) (raw)

Abstract

Configuration space of general relativity is extended by inclusion of the determinant of the metric as a new independent variable. As the consequence the Hilbert–Einstein action takes a polynomial form.

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References

  1. Hilbert D.: Nachrichten K. Gesellschaft Wiss. Göttingen, Math.-phys., Heft 3:395, Klasse (1915)
  2. Einstein A.(1916). Ann. Phys. 49, 769
    Article Google Scholar
  3. Thiemann T.(2003). Lect. Notes Phys. 631, 41
    ADS MathSciNet Google Scholar
  4. Ashtekar A., Lewandowski J.(2004). Class. Quantum Grav. 21, R53
    Article ADS MathSciNet MATH Google Scholar
  5. Peres A.(1963). Nuovo Cimento 28, 865
    Article MathSciNet MATH Google Scholar
  6. Katanaev, M.O.: gr-qc/0604096. Theor. Math. Phys. (accepted for publication)
  7. Penrose, R.: In “Relativité, Groupes et Topology”/Les Houches Lectures, 1963, Summer School of Theor.Phys., Univ.Grenoble, Gordon & Breach, New York, (1964), pp. 565–584; Chernikov, N.A.: Tagirov, E.A.: Ann.Inst.Henri Poincaré, A 9, 109 (1968) Ibragimov, N.H., Sov.Phys.Dokl. 183, 274 (1968)
  8. Callan C.G., Coleman S., Jackiw R.(1970). Ann. Phys. 59, 42
    Article ADS MathSciNet MATH Google Scholar
  9. Van Der Bij J.J., Van Dam H., Jack Ng Y.(1982). Physica 116A, 307
    ADS Google Scholar
  10. Buchmüller W., Dragon N.(1989). Nucl. Phys. B 321, 201
    Article Google Scholar
  11. Henneaux M., Teitelboim C.(1989). Phys. Lett. B 222, 195
    Article ADS Google Scholar
  12. Unruh W.G.(1989). Phys. Rev. D 40: 1048
    Article ADS MathSciNet Google Scholar
  13. Kreuzer M.(1990). Class. Quantum Grav. 7: 1303
    Article ADS MathSciNet MATH Google Scholar
  14. DeWitt B.S.(1967). Phys. Rev. 162: 1195
    Article ADS Google Scholar
  15. Leonovich A.A., Mladenov D.M.(1993). Mod. Phys. Lett. A 8: 3251
    Article ADS MathSciNet MATH Google Scholar
  16. Kalmykov M.Yu., Kazakov D.I.(1997). Phys. Lett. B 404, 253
    ADS MathSciNet Google Scholar
  17. Ashtekar A.(1987). Phys. Rev. D 36: 1587
    Article MathSciNet Google Scholar

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  1. Steklov Mathematical Institute, Gubkin St.8, Moscow, 119991, Russia
    M. O. Katanaev

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Correspondence toM. O. Katanaev.

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Katanaev, M.O. Polynomial form of the Hilbert–Einstein action.Gen Relativ Gravit 38, 1233–1240 (2006). https://doi.org/10.1007/s10714-006-0310-5

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