1. RRI Digital Repository
  2. 07. Theoretical Physics
  3. Research Papers (TP)
Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4615
Full metadata record
DC FieldValueLanguage
dc.contributor.authorVaradarajan, Madhavan-
dc.date.accessioned2012-06-05T04:07:17Z-
dc.date.available2012-06-05T04:07:17Z-
dc.date.issued1995-
dc.identifier.citationPhysical Review D , 1995, Vol.52, p2020en
dc.identifier.issn1550-7998-
dc.identifier.issn1550-2368 (0nline)-
dc.identifier.urihttp://hdl.handle.net/2289/4615-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractWe consider one spacelike Killing vector field reductions of four-dimensional (4D) vacuum general relativity. We restrict attention to cases in which the manifold of the orbits of the Killing field is R3. The reduced Einstein equations are equivalent to those for Lorentzian 3D gravity coupled to an SO(2,1) nonlinear σ model on this manifold. We examine the theory in terms of a Hamiltonian formulation obtained via a 2+1 split of the 3D manifold. We restrict attention to geometries which are asymptotically flat in a 2D sense defined recently. We attempt to pass to a reduced Hamiltonian description in terms of the true degrees of freedom of the theory via gauge-fixing conditions of 2D conformal flatness and maximal slicing. We explicitly solve the diffeomorphism constraints and relate the Hamiltonian constraint to the prescribed negative curvature equation in R2 studied by mathematicians. We partially address issues of existence and/or uniqueness of solutions to the various elliptic partial differential equations encountered.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/gr-qc/9503006en
dc.relation.urihttp://dx.doi.org/ 10.1103/PhysRevD.52.2020en
dc.relation.urihttp://adsabs.harvard.edu/abs/1995PhRvD..52.2020Ven
dc.rights1995, American Physical Societyen
dc.titleGauge fixing of one Killing field reductions of canonical gravity: The case of asymptotically flat induced two-geometryen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
1995_PRD_V52_p2020.pdf
  Restricted Access		Restricted Access447.66 kBAdobe PDFView/Open Request a copy
Show simple item record


Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.