Axisymmetric gravity in real Ashtekar variables: the quantum theory
arXiv:2001.02698 · doi:10.1088/1361-6382/ab7966
Abstract
In a previous paper we formulated axisymmetric general relativity in terms of real Ashtekar--Barbero variables. Here we proceed to quantize the theory. We are able to implement Thiemann's version of the Hamiltonian constraint. We discuss its action including the matrix elements and its solutions. This provides a 2+1 dimensional arena to test ideas for the dynamics of quantum gravity and opens the possibility of quantum studies of rotating black hole spacetimes.
arXiv comment21 pages, 4 figures
References in corpus (8)
- Covariance in models of loop quantum gravity: Spherical symmetry
- On the consistency of the constraint algebra in spin network quantum gravity
- New scalar constraint operator for loop quantum gravity
- Covariance in models of loop quantum gravity: Gowdy systems
- A symmetric scalar constraint for loop quantum gravity
- Signature change in loop quantum gravity: General midisuperspace models and dilaton gravity
- On quantum propagation in Smolin's weak coupling limit of 4d Euclidean Gravity
- Classical axisymmetric gravity in real Ashtekar variables