First-order tetrad gravity in Dirac's Hamiltonian formalism

Castellani, L; van Nieuwenhuizen, P; Pilati, M

doi:10.1103/PhysRevD.26.352

Title: First-order tetrad gravity in Dirac's Hamiltonian formalism

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Abstract

The Hamiltonian ..integral.. d/sup 3/x(pq-L) is constructed without adding further terms. The velocities e/sub i/a and omega-dot/sub i/ab are eliminated while e/sub o/a and omega-dot/sub o/ab remain arbitrary. The second-class constraints reduce the theory to second-order tetrad gravity. The first-class constraints differ from those in second-order formalism, but satisfy the same gauge algebra provided one uses Dirac brackets.

Authors:: Castellani, L; van Nieuwenhuizen, P; Pilati, M

Publication Date:: Thu Jul 15 00:00:00 EDT 1982

Research Org.:: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

OSTI Identifier:: 5121144

Resource Type:: Journal Article

Journal Name:: Phys. Rev. D; (United States)

Additional Journal Information:: Journal Volume: 26:2

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERGRAVITY; DIRAC EQUATION; HAMILTONIANS; CANONICAL TRANSFORMATIONS; GAUGE INVARIANCE; STRUCTURE FUNCTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; TRANSFORMATIONS; WAVE EQUATIONS; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation; 645400 - High Energy Physics- Field Theory

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                    Castellani, L, van Nieuwenhuizen, P, and Pilati, M. First-order tetrad gravity in Dirac's Hamiltonian formalism.  United States: N. p., 1982. 
        Web.  doi:10.1103/PhysRevD.26.352.

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                    Castellani, L, van Nieuwenhuizen, P, & Pilati, M. First-order tetrad gravity in Dirac's Hamiltonian formalism.  United States.  https://doi.org/10.1103/PhysRevD.26.352

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                    Castellani, L, van Nieuwenhuizen, P, and Pilati, M. 1982.  
        "First-order tetrad gravity in Dirac's Hamiltonian formalism".  United States.  https://doi.org/10.1103/PhysRevD.26.352.

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@article{osti_5121144,

  title        = {First-order tetrad gravity in Dirac's Hamiltonian formalism},

  author       = {Castellani, L and van Nieuwenhuizen, P and Pilati, M},

  abstractNote = {The Hamiltonian ..integral.. d/sup 3/x(pq-L) is constructed without adding further terms. The velocities e/sub i/a and omega-dot/sub i/ab are eliminated while e/sub o/a and omega-dot/sub o/ab remain arbitrary. The second-class constraints reduce the theory to second-order tetrad gravity. The first-class constraints differ from those in second-order formalism, but satisfy the same gauge algebra provided one uses Dirac brackets.},

  doi          = {10.1103/PhysRevD.26.352},

  url          = {https://www.osti.gov/biblio/5121144},
  journal      = {Phys. Rev. D; (United States)},
number       = ,

  volume       = 26:2,

  place        = {United States},

  year         = {Thu Jul 15 00:00:00 EDT 1982},

  month        = {Thu Jul 15 00:00:00 EDT 1982}

}

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