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Hamiltonian Gravity and Noncommutative Geometry

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Abstract:

A version of foliated spacetime is constructed in which the spatial geometry is described as a time-dependent noncommutative geometry. The ADM version of the gravitational action is expressed in terms of these variables. It is shown that the vector constraint is obtained without the need for an extraneous shift vector in the action.

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Authors and Affiliations

  1. Center for Gravitational Physics and Geometry, The Pennsylvania State University, University Park,¶PA 16802, USA. E-mail: mrmuon@phys.psu.edu, , , , , , US

    Eli Hawkins

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  1. Eli Hawkins
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Received: 24 June 1996 / Accepted: 30 January 1997

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Hawkins, E. Hamiltonian Gravity and Noncommutative Geometry . Comm Math Phys 187, 471–489 (1997). https://doi.org/10.1007/s002200050145

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  • DOI: https://doi.org/10.1007/s002200050145

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