%0 Generic %1 citeulike:1453911 %A Szulc, Lukasz %D 2007 %K cosmology loop quantum %T Open FRW model in Loop Quantum Cosmology %U http://arxiv.org/abs/0707.1816 %X Open FRW model in Loop Quantum Cosmology is under consideration. The left and right invariant vector fields and holonomies along them are studied. It is shown that in the hyperbolic geometry of k=-1 it is possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by Vandersloot. Such an operator has correct geometrical interpretation. The quantum scalar constraint operator with negative cosmological constant is proven to be essentially self-adjoint.

@misc{citeulike:1453911, abstract = {Open FRW model in Loop Quantum Cosmology is under consideration. The left and right invariant vector fields and holonomies along them are studied. It is shown that in the hyperbolic geometry of k=-1 it is possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by Vandersloot. Such an operator has correct geometrical interpretation. The quantum scalar constraint operator with negative cosmological constant is proven to be essentially self-adjoint.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Szulc, Lukasz}, biburl = {https://www.bibsonomy.org/bibtex/24b8b71300d6a50f81ddc6e31dfc54ec2/a_olympia}, citeulike-article-id = {1453911}, description = {citeulike}, eprint = {0707.1816}, interhash = {d8806cc0237e8a653e5ac60f5127176a}, intrahash = {4b8b71300d6a50f81ddc6e31dfc54ec2}, keywords = {cosmology loop quantum}, month = Jul, priority = {2}, timestamp = {2007-08-18T13:22:25.000+0200}, title = {Open FRW model in Loop Quantum Cosmology}, url = {http://arxiv.org/abs/0707.1816}, year = 2007 }