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I give a brief review of the status of research on the nature of initial conditions required to obtain a period of cosmological inflation.
M. Bruni, S. Matarrese and O. Pantano, “A Local view of the observable universe,” Phys. Rev. Lett. 74
1916
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S. R. Coleman and E. J. Weinberg, “Radiative Corrections as the Origin of Spontaneous Symmetry Breaking,” Phys. Rev. D 7
1973
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T. S. Bunch and P. C. W. Davies, “Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting,” Proc. Roy. Soc. Lond. A 360
1978
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A. A. Starobinsky, “Spectrum of relict gravitational radiation and the early state of the universe,” JETP Lett. 30
1979
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W. H. Press, “Spontaneous Production of the Zel’dovich Spectrum of Cosmological Fluctuations,” Phys. Scripta 21
1980
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R. Brout, F. Englert and E. Gunzig, “The Causal Universe,” Gen. Rel. Grav. 10
1981
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V. Mukhanov and G. Chibisov, “Quantum Fluctuation And Nonsingular Universe. (In Russian),” JETP Lett. 33
1981
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K. Sato, “First Order Phase Transition of a Vacuum and Expansion of the Universe,” Mon. Not. Roy. Astron. Soc. 195
1981
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G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Phys. Rev. D 15
1982
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1982
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A. D. Linde, “A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems,” Phys. Lett. B 108
1982
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R. M. Wald, “Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant,” Phys. Rev. D 28
1983
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A. A. Starobinsky, “Isotropization of arbitrary cosmological expansion given an effective cosmological constant,” JETP Lett. 37
1983
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A. D. Linde, “Chaotic Inflation,” Phys. Lett. B 129
1983
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J. B. Hartle and S. W. Hawking, “Wave Function of the Universe,” Phys. Rev. D 28
1983
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G. F. Mazenko, R. M. Wald and W. G. Unruh, “Does a Phase Transition in the Early Universe Produce the Conditions Needed for Inflation?,” Phys. Rev. D 31
1985
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A. Albrecht and R. H. Brandenberger, “On the Realization of New Inflation,” Phys. Rev. D 31
1985
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J. D. Barrow, “Cosmic No Hair Theorems and Inflation,” Phys. Lett. B 187
1986
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R. H. Brandenberger and C. T. Hill, “Energy Density Fluctuations in de Sitter Space,” Phys. Lett. B 179
1986
Earlier work this paper cites.
A. A. Starobinsky, “Stochastic De Sitter (inflationary) Stage In The Early Universe,” Lect. Notes Phys. 246
1986
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A. Albrecht, R. H. Brandenberger and R. Matzner, “Numerical Analysis of Inflation,” Phys. Rev. D 32
1987
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H. Kurki-Suonio, R. A. Matzner, J. Centrella and J. R. Wilson, “Inflation From Inhomogeneous Initial Data in a One-dimensional Back Reacting Cosmology,” Phys. Rev. D 35
1987
Earlier work this paper cites.
A. D. Linde, “Quantum Creation of the Inflationary Universe,” Lett. Nuovo Cim. 39
1988
Earlier work this paper cites.
G. W. Gibbons, S. W. Hawking and J. M. Stewart, “A Natural Measure on the Set of All Universes,” Nucl. Phys. B 281
1988
Cited alongside, same era.
R. Penrose, “Difficulties with inflationary cosmology,” Annals N. Y. Acad. Sci. 571
1989
Cited alongside, same era.
R. H. Brandenberger and J. H. Kung, “Chaotic Inflation as an Attractor in Initial Condition Space,” Phys. Rev. D 42
1990
Cited alongside, same era.
V. Muller, H. J. Schmidt and A. A. Starobinsky, “Power law inflation as an attractor solution for inhomogeneous cosmological models,” Class. Quant. Grav. 7
1990
Cited alongside, same era.
D. S. Goldwirth and T. Piran, “Inhomogeneity and the Onset of Inflation,” Phys. Rev. Lett. 64
1990
Cited alongside, same era.
A. M. Polyakov, “Decay of Vacuum Energy,” Nucl. Phys. B 834
2010
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2010
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2011
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2011
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H. A. Feldman and R. H. Brandenberger, “Chaotic Inflation With Metric and Matter Perturbations,” Phys. Lett. B 227
1991
Cited alongside, same era.
J. D. Barrow and J. Stein-Schabes, “Inhomogeneous cosmologies with cosmological constant,” Phys. Lett. A 103
1992
Cited alongside, same era.
D. S. Goldwirth and T. Piran, “Initial conditions for inflation,” Phys. Rept. 214
1992
Cited alongside, same era.
N. C. Tsamis and R. P. Woodard, “Relaxing the cosmological constant,” Phys. Lett. B 301
1993
Cited alongside, same era.
P. Laguna, H. Kurki- Suonio and R. A. Matzner, “Inhomogeneous inflation: The Initial value problem,” Phys. Rev. D 44
1993
Cited alongside, same era.
M. Gasperini and G. Veneziano, “Pre - big bang in string cosmology,” Astropart. Phys. 1
1993
Cited alongside, same era.
A. Borde and A. Vilenkin, “Eternal inflation and the initial singularity,” Phys. Rev. Lett. 72
1994
Cited alongside, same era.
2011
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2012
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J. S. Schiffrin and R. M. Wald, “Measure and Probability in Cosmology,” Phys. Rev. D 86
2012
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2012
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2013
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2013
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G. N. Remmen and S. M. Carroll, “Attractor Solutions in Scalar-Field Cosmology,” Phys. Rev. D 88
2013
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2013
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2014
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A. H. Guth, D. I. Kaiser and Y. Nomura, “Inflationary paradigm after Planck 2013,” Phys. Lett. B 733
2014
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2014
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A. Corichi and D. Sloan, “Inflationary Attractors and their Measures,” Class. Quant. Grav. 31
2014
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R. Easther, L. C. Price and J. Rasero, “Inflating an Inhomogeneous Universe,” JCAP 1408
2014
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2015
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V. Mukhanov, “Inflation without Selfreproduction,” Fortsch. Phys. 63
2015
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2015
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2015
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2015
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