E. Cartan moment of rotation in classical and quantum gravity. Final report

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The geometric construction of the E. Cartan moment of rotation associated to the spacetime curvature provides a geometric interpretation of the gravitational field sources and describes geometrically how the sources are ``wired`` to the field in standard geometrodynamics. E. Cartan moment of rotation yields an alternate way (as opposed to using variational principles) to obtain Einstein equations. The E. Cartan construction uses in an essential way the soldering structure of the frame bundle underlying the geometry of the gravitational field of general relativity. The geometry of Ashtekar`s connection formulation of gravitation theory is based on a complex-valued self-dual connection that ... continued below

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17 p.

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Kheyfets, A. May 25, 1994.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 11 times . More information about this report can be viewed below.

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  • Kheyfets, A. North Carolina State Univ., Raleigh, NC (United States). Dept. of Mathematics

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Description

The geometric construction of the E. Cartan moment of rotation associated to the spacetime curvature provides a geometric interpretation of the gravitational field sources and describes geometrically how the sources are ``wired`` to the field in standard geometrodynamics. E. Cartan moment of rotation yields an alternate way (as opposed to using variational principles) to obtain Einstein equations. The E. Cartan construction uses in an essential way the soldering structure of the frame bundle underlying the geometry of the gravitational field of general relativity. The geometry of Ashtekar`s connection formulation of gravitation theory is based on a complex-valued self-dual connection that is defined not on the frame bundle of spacetime but, rather, on its complexification. We show how to transfer the construction of the E. Cartan moment of rotation to Ashtekar`s theory of gravity and demonstrate that no spurious equations are produced via this procedure.

Physical Description

17 p.

Notes

OSTI as DE95011622

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  • Other Information: PBD: 25 May 1994

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  • Other: DE95011622
  • Report No.: LA-SUB--95-17
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/101153 | External Link
  • Office of Scientific & Technical Information Report Number: 101153
  • Archival Resource Key: ark:/67531/metadc623794

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • May 25, 1994

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • July 28, 2016, 7:07 p.m.

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Kheyfets, A. E. Cartan moment of rotation in classical and quantum gravity. Final report, report, May 25, 1994; New Mexico. (digital.library.unt.edu/ark:/67531/metadc623794/: accessed December 10, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.