Effective Hamiltonian for isotropic loop quantum cosmology

Classical and Quantum Gravity

Volumn 21, Issue 21, 2004, Pages 4941-4953

  Date, Ghanashyam ^a   Hossain, Golam Mortuza ^a  

^a INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744296033     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/21/012     Document Type: Article

References (22)

1. Bojowald M 2000 Loop quantum cosmology: I. Kinematics Class. Quantum Grav. 17 1489-508
2. Bojowald M 2000 Loop quantum cosmology: II. Volume operators Class. Quantum Grav. 17 1509-26
3. Bojowald M 2001 Loop quantum cosmology: III. Wheeler-DeWitt operators Class. Quantum Grav. 18 1055-70
4. Bojowald M 2001 Loop quantum cosmology: IV. Discrete time evolution Class. Quantum Grav. 18 1071-88
5. Bojowald M 2002 Isotropic loop quantum cosmology Class. Quantum Grav. 19 2717-41
6. Bojowald M and Morales-Técotl H A 2004 Cosmological applications of loop quantum gravity Proc. 5th Mexican School (DGFM): The Early Universe and Observational Cosmology (Lecture Notes in Physics vol 646) ed N Bretón, J Cervantes-Cota and M Salgado (Berlin: Springer) (Preprint gr-qc/0306008)
7. Ashtekar A, Bojowald M and Lewandowski J 2003 Mathematical structure of loop quantum cosmology Adv. Theor. Math. Phys. 7 233-68 (Preprint gr-qc/0304074)
8. Bojowald M 2001 Inverse scale factor in isotropic quantum geometry Phys. Rev. D 64 084018
9. Bojowald M 2001 Absence of a singularity in loop quantum cosmology Phys. Rev. Lett. 86 5227-30
10. Bojowald M 2002 Quantization ambiguities in isotropic quantum geometry Class. Quantum Grav. 19 5113-30
11. Bojowald M 2004 Loop quantum cosmology: recent progress Preprint gr-qc/0402053 (Plenary talk at ICGC, 2004 Pramana J. Phys. at press)
12. Hossain G M 2004 Hubble operator in isotropic loop quantum cosmology Class. Quantum Grav. 21 179-96
13. Fairbairn W and Rovelli C 2004 Separable Hubert space in loop quantum gravity J. Math. Phys. 45 2802-14 (Preprint gr-qc/0403047)
14. Velhinho J M 2004 Comments on the kinematical structure of loop quantum cosmology Class. Quantum Grav. 21 L109 (Preprint gr-qc/0406008)
15. Bojowald M 2001 The semiclassical limit of loop quantum cosmology Class. Quantum Grav. 18 L109-16
16. Bojowald M, Date G and Hossain G M 2004 The Bianchi IX model in loop quantum cosmology Class. Quantum Grav. 21 3541-70 (Preprint gr-qc/0404039)
17. Bojowald M and Date G 2004 Consistency conditions for fundamentally discrete theories Class. Quantum Grav. 21 121-43 (Preprint gr-qc/0307083)
18. Date G and Hossain G M 2004 Genericity of inflation in isotropic loop quantum cosmology Preprint gr-qc/ 0407069
19. Date G and Hossain G M 2004 Genericity of big bounce in isotropic loop quantum cosmology Preprint gr-qc/ 0407074
20. Bojowald M 2001 Dynamical initial conditions in quantum cosmology Phys. Rev. Lett. 87 121301
21. Evans L C 1998 Partial Differential Equations (Graduate Studies in Mathematics vol 19) (Providence, RI: American Mathematical Society)
22. Singh P and Toporensky A 2004 Big crunch avoidance in k = 1 loop quantum cosmology Phys. Rev. D 69 104008 (Preprint gr-qc/0312110)