General Relativity and Gravitation

, Volume 38, Issue 12, pp 1839–1859 | Cite as

Towards a general solution of the Hamiltonian constraints of General Relativity

  • A. Tiemblo
  • R. Tresguerres
Research Article


The present work has a double aim. On the one hand, we call attention on the relationship existing between the Ashtekar formalism and other gauge-theoretical approaches to gravity, in particular the Poincaré Gauge Theory. On the other hand, we study two kinds of solutions for the constraints of General Relativity, consisting of two mutually independent parts, namely a general three-metric-dependent contribution to the extrinsic curvature K ab in terms of the Cotton–York tensor, and besides it further metric independent contributions, which we analyze in particular in the presence of isotropic three-metrics.


Hamiltonian gravity Exact solutions 


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© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.Instituto de Matemáticas y Física FundamentalConsejo Superior de Investigaciones CientíficasMadridSpain

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