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Due to non-perturbative quantum gravitational effects, the classical big bang singularity is replaced by a quantum big bounce of the mean scale factor in loop quantization of Bianchi-I spacetime.
1941
Earlier work this paper cites.
Ya. B. Zel’dovich The equation of state at ultrahigh densities and its relativistic limitations, Sov. Phys. JETP, 14 1143 (1962)
1962
Earlier work this paper cites.
O. Heckmann and E. Shucking, “Relativistic Cosmology”, Ch. 11, Gravitation: An introduction to current research, ed. by L. Witten, NY, Willey (1962)
1962
Earlier work this paper cites.
A. G. Doroshkevich, Model of a universe with a uniform magnetic field, Astrophysics, 1
1965
Earlier work this paper cites.
K. S. Thorne, Primordial element formation, primordial magnetic fields, and the isotropy of the universe”, Astrophys. J., 148
1967
Earlier work this paper cites.
K. C. Jacobs, Spatially homogeneous and euclidean cosmological models with shear, Astrophys. J. 153
1968
Earlier work this paper cites.
C. W. Misner, The isotropy of the universe Astrophys. J., 151
1968
Earlier work this paper cites.
G. F. R. Ellis and M. A. H. MacCallum, A Class of homogeneous cosmological models, Commun. Math. Phys. 12
1969
Earlier work this paper cites.
V. A. Belinskii, I. M. Khalatnikov and E. M. Lifshitz, Oscillatory approach to a singular point in the relativistic cosmology, Adv. Phys. 31
1970
Earlier work this paper cites.
V. A. Belinsky and I. M. Khalatnikov, Sov. Phys. JETP 36
1973
Earlier work this paper cites.
F. J. Tipler, Singularities in conformally flat spacetimes, Phys. Lett. A 64
1977
Earlier work this paper cites.
A. Krolak, Towards the proof of the cosmic censorship hypothesis, Class. Quant. Grav. 3
1986
Earlier work this paper cites.
T. A. Schilling, PhD Thesis, Pennsylvania State University, 1996
1996
Earlier work this paper cites.
M. Bojowald, G. Date and G. M. Hossain, “The Bianchi IX model in loop quantum cosmology,” Class. Quant. Grav. 21
2004
Earlier work this paper cites.
M. Bojowald and G. Date, “Quantum suppression of the generic chaotic behavior close to cosmological singularities,” Phys. Rev. Lett. 92
2004
Earlier work this paper cites.
J. Willis, On the low energy ramifications and a mathematical extension of loop quantum gravity. Ph.D. Dissertation, The Pennsylvaina State University (2004)
2004
Earlier work this paper cites.
A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big bang, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big bang: An analytical and numerical investigation I, Phys. Rev. D73
2006
Cited alongside, same era.
A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big bang: Improved dynamics, Phys. Rev. D 74
2006
Cited alongside, same era.
A. Ashtekar, T. Pawlowski, P. Singh and K. Vandersloot, Loop quantum cosmology of k=1 FRW models. Phys. Rev. D 75
2006
Cited alongside, same era.
K. Vandersloot, Loop quantum cosmology and the k = − 1 k=-1 FRW model, Phys. Rev. D 75
2007
Cited alongside, same era.
L. Szulc, Open FRW model in loop quantum cosmology, Class. Quant. Grav. 24
A. Ashtekar and E. Wilson-Ewing, Loop quantum cosmology of Bianchi type II models, Phys. Rev. D 80
2009
Later among the works it cites.
2009
Later among the works it cites.
P. Singh, Are loop quantum cosmologies never singular? Class. Quant. Grav. 26
2009
Later among the works it cites.
T. Cailleteau, P. Singh and K. Vandersloot, Non-singular ekpyrotic/cyclic model in loop quantum cosmology, Phys. Rev. D 80
2009
Later among the works it cites.
A. Corichi, P. Singh, A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology, Phys. Rev. D 80
2009
Later among the works it cites.
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2007
Cited alongside, same era.
D. W. Chiou, Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation, Phys. Rev. D 75
2007
Cited alongside, same era.
2007
Cited alongside, same era.
D. W. Chiou and K. Vandersloot, The Behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology, Phys. Rev. D 76
2007
Cited alongside, same era.
A. Ashtekar, A. Corichi, P. Singh, Robustness of key features of loop quantum cosmology, Phys. Rev. D 77
2008
Cited alongside, same era.
E. Bentivegna and T. Pawlowski, Anti-deSitter universe dynamics in LQC, Phys. Rev. D 77
2008
Cited alongside, same era.
2008
Cited alongside, same era.
W. Kaminski and T. Pawlowski, The LQC evolution operator of FRW universe with positive cosmological constant Phys. Rev. D 81
2010
Later among the works it cites.
E. Wilson-Ewing, Loop quantum cosmology of Bianchi type IX models, Phys. Rev. D 82
2010
Later among the works it cites.
W. Kaminski, T. Pawlowski, Cosmic recall and the scattering picture of Loop Quantum Cosmology, Phys. Rev. D 81
2010
Later among the works it cites.
2010
Later among the works it cites.
A. Ashtekar and P. Singh, Loop Quantum Cosmology: A Status Report, Class. Quant. Grav. 28
2011
Later among the works it cites.
P. Singh, F. Vidotto, Exotic singularities and spatially curved loop quantum cosmology, Phys. Rev. D 83
2011
Later among the works it cites.
A. Corichi, E. Montoya, Coherent semiclassical states for loop quantum cosmology, Phys. Rev.D 84
2011
Later among the works it cites.
M. Artymowski, Z. Lalak, Vector fields and Loop Quantum Cosmology, JCAP 09
2011
Later among the works it cites.
B. Gupt and P. Singh, Contrasting features of anisotropic loop quantum cosmologies: The Role of spatial curvature, Phys. Rev. D 85
2012
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P. Singh, Curvature invariants geodesics and the strength of singularities in Bianchi-I loop quantum cosmology, Phys. Rev. D 85
2012
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