7 citations · 7 across the 1 of their papers we have counts for
2 papers
gr-qc1997★ 7 cited
SU(2)-invariant reduction of the 3+1 dimensional Ashtekar's gravity
Sergei Alexandrov, Ignati Grigentch, Dmitri Vassilevich
We consider a space-time with spatial sections isomorphic to the group manifold of SU(2). Triad and connection fluctuations are assumed to be SU(2)-invariant. Thus, they form a fin…
gr-qc1994
Reduced phase space quantization of Ashtekar's gravity on de Sitter background
Ignati Grigentch, D. V. Vassilevich
We solve perturbative constraints and eliminate gauge freedom for Ashtekar's gravity on de Sitter background. We show that the reduced phase space consists of transverse, traceless…