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A brief overview of loop quantum cosmology of homogeneous isotropic models is presented with emphasis on the origin of and subtleties associated with the resolution of big bang and big crunch singularities.
B. S. DeWitt (1967): Quantum theory of gravity I. The canonical theory. Phys. Rev
1967
Earlier work this paper cites.
J. A. Wheeler, Superspace and quantum geometrodynamics, in: Battelle Rencontres, edited by J. A. Wheeler and C. M. DeWitt (W. A. Benjamin, New York, 1972)
1972
Earlier work this paper cites.
C. W. Misner, Mixmaster universe. Phys. Rev. Lett. 22
1972
Earlier work this paper cites.
A. Komar, Quantization program for general relativity. In: Relativity
1981
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, Wave Function Of The Universe. Phys. Rev. D 28
1983
Earlier work this paper cites.
A. Ashtekar and J. Stachel, eds Conceptual problems of Quantum Gravity
1988
Earlier work this paper cites.
C. Kiefer, Wavepsckets in minisuperspace, Phys. Rev. D38
1988
Earlier work this paper cites.
C. Rovelli, Quantum mechanics without time: A model, Phys. Rev. D42
1990
Earlier work this paper cites.
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão and T. Thiemann, Quantization of diffeomorphism invariant theories of connections with local degrees of freedom. Jour. Math. Phys. 36
1995
Earlier work this paper cites.
D. Brown and K. Kuchař, Dust as a standard of space and time in canonical quantum gravity, Phys. Rev. D51
1995
Earlier work this paper cites.
R. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B442
1996
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Quantum theory of geometry I: Area operators, Class. Quantum Grav. 14
1997
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Quantum theory of geometry II: Volume operators, Adv. Theo. & Math. Phys. 1
1997
Earlier work this paper cites.
A. Ashtekar and T. A. Schilling, Geometrical formulation of quantum mechanics. In: On Einstein’s Path: Essays in Honor of Engelbert Schücking
1999
Earlier work this paper cites.
R. Bousso, A covariant entropy conjecture, JHEP 07
1999
Earlier work this paper cites.
J. Khoury, B. A. Ovrut, P. J. Steinhardt, N. Turok, The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang, Phys.Rev. D64 (2001) 123522
2001
Earlier work this paper cites.
M. Bojowald, Absence of singularity in loop quantum cosmology, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
J. Khoury, B. . Ovrut, N. Seiberg, P. J. Steinhardt, N. Turok, From Big Crunch to Big Bang, Phys.Rev. D65
2002
Earlier work this paper cites.
M. Gasperini and G. Veneziano, The pre-big bang scenario in string cosmology, Phys. Rept. 373
2003
Cited alongside, same era.
A. Ashtekar, M. Bojowald and J. Lewandowski, Mathematical structure of loop quantum cosmology. Adv. Theo. Math. Phys. 7
2003
Cited alongside, same era.
A. Borde, A. Guth and A. Vilenkin, Inflationary spacetimes are not past-complete, Phys. Rev. Lett. 90
2003
Cited alongside, same era.
E. E. Flanagan, D. Marolf and R. M. Wald, Proof of the classical versions of the Bousso entropy bound and of the Generalized Second Law, Phys. Rev. D62
2003
Cited alongside, same era.
A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report, Class. Quant. Grav. 21
2004
Cited alongside, same era.
J. Brunnemann and T. Thiemann (2006): On (cosmological) singularity avoidance in loop quantum gravity. Class. Quant. Grav. 23
2006
Later among the works it cites.
A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big bang, Phys. Rev. Lett. 96
2006
Later among the works it cites.
A. Ashtekar, An introduction to loop quantum gravity through cosmology, Nuovo Cimento, 112B
2007
Later among the works it cites.
T. Thiemann, Introduction to Modern Canonical Quantum General Relativity
2007
Later among the works it cites.
A. Kamenshchik, C. Kiefer and B. Sandhofer, Quantum cosmology with big break singularity, Phys. Rev. D76
2007
Later among the works it cites.
L. Parisi, M. Bruni, R. Maartens and K. Vandersloot, The Einstein static universe in Loop Quantum Cosmology, Class. Quant. Grav. 24, 6243-6254 (2007)
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2004
Cited alongside, same era.
D. Green and W. Unruh (2004): Difficulties with recollapsing models in closed isotropic loop quantum cosmology. Phys. Rev. D70
2004
Cited alongside, same era.
2004
Cited alongside, same era.
J. M. Velhinho, on the kinematical structure of loop quantum cosmology, Class. Quant. Grav. 21
2004
Cited alongside, same era.
M. Bojowald, Loop quantum cosmology. Liv. Rev. Rel. 8
2005
Cited alongside, same era.
D. Marolf, Refined algebraic quantization: Systems with a single constraint. arXive:gr-qc/9508015
2005
Cited alongside, same era.
A. D. Rendall, The nature of spacetime singularities. In: 100 Years of Relativity – Space-Time Structure: Einstein and Beyond
2005
Cited alongside, same era.
2007
Later among the works it cites.
X. Zhang and Y. Ling, Inflationary universe in loop quantum cosmology, JCAP 0708 (2007) 012
2007
Later among the works it cites.
D. W. Chiou and K. Vandersloot, Behavior of non-linear anisopropies in bouncing Bianchi I models of loop quantum cosmology, Phys. Rev. D76
2007
Later among the works it cites.
M. Bojowald, Dynamical coherent states and physical solutions of quantum cosmological bounces, Phys. Rev. D 75, 123512 (2007)
2007
Later among the works it cites.
A. Corichi and P. Singh, Is loop quantization in cosmology unique? Phys. Rev. D78
2008
Closest in time.
E. Bentivegna and T. Pawlowski, Anti-deSitter universe dynamics in LQC, Phys. Rev. D77, 124025 (2008) A. Ashtekar and T. Pawlowski, Loop quantum cosmology with a positive cosmological constant (in preparation)
2008
Closest in time.
2008
Closest in time.
E. J. Copeland, D. J. Mulryne, N. J. Nunes, and M. Shaeri, Superinflation in loop quantum cosmology, Phys. Rev. D 77, 023510 (2008) Research highlights in Nature: Roll with it: http://www.nature.com/nphys/journal/v4/n3/full/nphys900.html
2008
Closest in time.
P. Xu and S.N. Zhang, Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity, JCAP06, 007 (2008)
2008
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X. Fu, H. Yu and P. Wu, Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology, Phys. Rev. D 78, 063001 (2008)
2008
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A. Ashtekar, A. Corichi and P. Singh, Robustness of predictions of loop quantum cosmology, Phys. Rev. D77
2008
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A. Ashtekar and E. Wilson-Ewing, The covariant entropy bound and loop quantum cosmology, Phys. Rev. D78
2008
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