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2020

Axisymmetric gravity in real Ashtekar variables: the quantum theory

Gambini, Rodolfo, Mato, Esteban, Pullin, Jorge

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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.

Axisymmetric gravity in real Ashtekar variables: the quantum theory · Around

Built on

M. Varadarajan, Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
R.M. Wald, General Relativity, Chicago Univ. Press, 1984
1984
Earlier work this paper cites.
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao and T. Thiemann, J. Math. Phys. 36
1995
Earlier work this paper cites.

Similar

A. Ashtekar, J. Lewandowski, Adv. Theor. Math. Phys. 1 (1998)388-429,doi: 10.4310/ATMP.1997.v1.n2.a8 [gr-qc/9711031]
1997
Cited alongside, same era.
T. Thiemann, “Modern canonical general relativity”, Cambridge University Press, Cambridge, UK (2008)
2008
Cited alongside, same era.
M. Assanioussi, J. Lewandowski and I. Mäkinen, Phys. Rev. D 92
Original
2015
Cited alongside, same era.

Then

M. Bojowald, S. Brahma and J. D. Reyes, Phys. Rev. D 92
Original
2015
Later among the works it cites.
R. Gambini, E. Mato, J. Olmedo and J. Pullin, Class. Quant. Grav. 36
Original
2019
Later among the works it cites.

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