CANONICAL QUANTIZATION OF SPHERICALLY SYMMETRICAL GRAVITY IN ASHTEKAR SELF-DUAL REPRESENTATION

Journal article


Publication Details

Author(s): Thiemann T, Kastrup H
Journal: Nuclear Physics B
Publisher: ELSEVIER SCIENCE BV
Publication year: 1993
Volume: 399
Journal issue: 1
Pages range: 211-258
ISSN: 0550-3213


Abstract


We show that the quantization of spherically symmetric pure gravity can be carried out completely in the framework of Ashtekar's self-dual representation. Consistent operator orderings can be given for the constraint functionals yielding two kinds of solutions for the constraint equations, corresponding classically to globally nondegenerate or degenerate metrics. The physical state functionals can be determined by quadratures and the reduced hamiltonian system possesses two degrees of freedom, one of them corresponding to the classical Schwarzschild mass squared and the canonically conjugate one representing a measure for the deviation of the nonstatic field configurations from the static Schwarzschild one. There is a natural choice for the scalar product making the two fundamental observables self-adjoint. Finally, a unitary transformation is performed in order to calculate the triad-representation of the physical state functionals and to provide for a solution of the appropriately regularized Wheeler-DeWitt equation.



FAU Authors / FAU Editors

Thiemann, Thomas Prof. Dr.
Chair for Theoretical Physics III (Quantum Gravity)


How to cite

APA:
Thiemann, T., & Kastrup, H. (1993). CANONICAL QUANTIZATION OF SPHERICALLY SYMMETRICAL GRAVITY IN ASHTEKAR SELF-DUAL REPRESENTATION. Nuclear Physics B, 399(1), 211-258.

MLA:
Thiemann, Thomas, and Hans Kastrup. "CANONICAL QUANTIZATION OF SPHERICALLY SYMMETRICAL GRAVITY IN ASHTEKAR SELF-DUAL REPRESENTATION." Nuclear Physics B 399.1 (1993): 211-258.

BibTeX: 

Last updated on 2018-10-08 at 19:53