Models
in Canonical Quantum Gravity| Models
in Canonical Quantum Gravity |
Few Degrees of Freedom > see FRW models; minisuperspace; quantum black holes.
Spherical Symmetry > s.a. holography; loop
quantum gravity; quantum
black holes; spherical symmetry.
@ General references: Loustó & Mazzitelli IJMPA(91);
Greensite IJMPA(91);
Carlip & Teitelboim CQG(95)gq [black
holes, opening angle at the horizon]; Hollmann gq/96 [as
sigma-model]; Kenmoku
G&C(99).
@ Connection representation: Thiemann & Kastrup NPB(93)gq;
Thiemann in(94)gq/99 [+
Maxwell field]; Bojowald CQG(04)gq [states
and operators]; Bojowald & Swiderski CQG(04)gq [volume
operator], CQG(06)gq/05 [Hamiltonian
constraint]; Bojowald PRL(05)gq [absence
of singularities]; Campiglia et al CQG(07)gq,
a0712-in; Gambini
& Pullin a0805 [Schwarzschild black holes].
@ With matter shells: Hájícek et al PRD(92)
[collapse as Coulomb problem]; Berezin et al PRD(98)gq/97 [dust
shells, black holes and wormholes]; Hájícek
NPB(01)ht/00 [null
shell, group quantization]; Ambrus & Hájícek PRD(05)gq [null
dust].
@ With other matter: Thiemann IJMPD(94)gq/99, NPB(95)gq/99 [lqg
+ electromagnetism + cosmological constant]; Pinheiro & Khanna ht/00 [scalar];
Vaz et al PRD(01)
[dust collapse]; Husain & Winkler PRD(05)gq [black
hole
+ scalar].
Other Midisuperspace > s.a. gowdy
spacetimes.
* Idea: Restrict the
size of superspace with symmetries, but still allow infinitely many degrees
of freedom and get a field theory.
@ Models: Husain & Pullin MPLA(90)
[one Killing vector field, connection and loop representations]; Torre IJTP(99)gq/98-in
[general theory]; Beetle ATMP(98)gq [toroidal];
Brodbeck & Zagermann
CQG(00)gq/99 [in
self-dual representation].
@ Plane waves: Berger & Matsuki PRD(89);
Ashtekar & Pierri JMP(96)gq;
Neville PRD(97),
PRD(97) [connection representation];
Mena & Montejo
PRD(98)gq,
PRD(00)gq/99;
Barbero et al PRD(04)gq
[Fock spaces].
@ Cylindrical: Kuchar PRD(71);
Mena PRD(96)gq/95;
Korotkin & Samtleben
PRL(98)gq/97;
Cruz et al PLB(98)gq;
Varadarajan CQG(00)gq/99;
Niedermaier & Samtleben
NPB(00)ht/99;
Angulo & Mena IJMPD(00)gq;
Barbero et al
PRD(03)gq [t];
Cho & Varadarajan CQG(06);
Varadarajan IJMPD(06).
@ Cylindrical + matter: Barbero et al PRL(05)gq,
PRD(06)gq
[massless
scalar].
@ Stationary axisymmetric: Korotkin & Nikolai PRL(95)ht/94.
Other Types of Metrics > s.a. connection
representation; quantum black holes.
@ Perturbations: Vaz et al PRD(03)
[around a black hole, thermal bath].
@ Degenerate metrics: Bojowald CQG(06)gq/05 [lqg].
Main page – Abbreviations – Journals – Comments – Other
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
5 jul 2008