Phys. Rev. D 49, 923–929 (1994)Weave states for plane gravitational wavesReceived 9 September 1993; published in the issue dated 15 January 1994 In the nonperturbative approach for quantizing gravity in terms of Ashtekar variables, the weave states, approximating given classical metrics at large scales, play an important role. In the present paper we construct the weave states for an exact solution of Einstein's equations, representing plane gravitational waves. We also investigate the low-energy limit for the exact and linearized cases and show that in the exact case no splitting into a background metric plus perturbation occurs. We discuss the "small" and "large-loop" weave states and comment on their applications. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.923
DOI:
10.1103/PhysRevD.49.923
PACS:
04.60.Ds
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