Polynomial form of the Hilbert–Einstein action (original) (raw)
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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
- Hilbert D.: Nachrichten K. Gesellschaft Wiss. Göttingen, Math.-phys., Heft 3:395, Klasse (1915)
- Einstein A.(1916). Ann. Phys. 49, 769
Article Google Scholar - Thiemann T.(2003). Lect. Notes Phys. 631, 41
ADS MathSciNet Google Scholar - Ashtekar A., Lewandowski J.(2004). Class. Quantum Grav. 21, R53
Article ADS MathSciNet MATH Google Scholar - Peres A.(1963). Nuovo Cimento 28, 865
Article MathSciNet MATH Google Scholar - Katanaev, M.O.: gr-qc/0604096. Theor. Math. Phys. (accepted for publication)
- 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)
- Callan C.G., Coleman S., Jackiw R.(1970). Ann. Phys. 59, 42
Article ADS MathSciNet MATH Google Scholar - Van Der Bij J.J., Van Dam H., Jack Ng Y.(1982). Physica 116A, 307
ADS Google Scholar - Buchmüller W., Dragon N.(1989). Nucl. Phys. B 321, 201
Article Google Scholar - Henneaux M., Teitelboim C.(1989). Phys. Lett. B 222, 195
Article ADS Google Scholar - Unruh W.G.(1989). Phys. Rev. D 40: 1048
Article ADS MathSciNet Google Scholar - Kreuzer M.(1990). Class. Quantum Grav. 7: 1303
Article ADS MathSciNet MATH Google Scholar - DeWitt B.S.(1967). Phys. Rev. 162: 1195
Article ADS Google Scholar - Leonovich A.A., Mladenov D.M.(1993). Mod. Phys. Lett. A 8: 3251
Article ADS MathSciNet MATH Google Scholar - Kalmykov M.Yu., Kazakov D.I.(1997). Phys. Lett. B 404, 253
ADS MathSciNet Google Scholar - Ashtekar A.(1987). Phys. Rev. D 36: 1587
Article MathSciNet Google Scholar
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Authors and Affiliations
- 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
- Received: 11 January 2006
- Revised: 23 March 2006
- Published: 18 July 2006
- Issue date: August 2006
- DOI: https://doi.org/10.1007/s10714-006-0310-5