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We numerically solve the Klein-Gordon equation at second order in cosmological perturbation theory in closed form for a single scalar field, describing the method employed in detail.
J. M. Bardeen, “Gauge Invariant Cosmological Perturbations,” Phys. Rev
1905
Earlier work this paper cites.
Dover, New York, 1964
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables · 1964
Earlier work this paper cites.
K. Tomita, “Non-Linear Theory of Gravitational Instability in the Expanding Universe,” Progress of Theoretical Physics
1967
Earlier work this paper cites.
A. A. Starobinsky, “Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations,” Phys. Lett
1982
Earlier work this paper cites.
A. A. Starobinsky, “Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations,” JETP Lett
1985
Earlier work this paper cites.
M. Sasaki, “Large Scale Quantum Fluctuations in the Inflationary Universe,” Prog. Theor. Phys
1986
Earlier work this paper cites.
V. F. Mukhanov, “Quantum Theory of Gauge Invariant Cosmological Perturbations,” Sov. Phys. JETP
1988
Earlier work this paper cites.
D. S. Salopek, J. R. Bond, and J. M. Bardeen, “Designing Density Fluctuation Spectra in Inflation,” Phys. Rev
1989
Earlier work this paper cites.
D. S. Salopek and J. R. Bond, “Nonlinear evolution of long wavelength metric fluctuations in inflationary models,” Phys. Rev
1990
Earlier work this paper cites.
M. Sasaki and E. D. Stewart, “A General analytic formula for the spectral index of the density perturbations produced during inflation,” Prog. Theor. Phys
1996
Earlier work this paper cites.
V. F. Mukhanov, L. R. W. Abramo, and R. H. Brandenberger, “On the back reaction problem for gravitational perturbations,” Phys. Rev. Lett
1997
Earlier work this paper cites.
M. Bruni, S. Matarrese, S. Mollerach, and S. Sonego, “Perturbations of spacetime: Gauge transformations and gauge invariance at second order and beyond,” Class. Quant. Grav
1997
Earlier work this paper cites.
M. Sasaki and T. Tanaka, “Super-horizon scale dynamics of multi-scalar inflation,” Prog. Theor. Phys
1998
Earlier work this paper cites.
Cambridge University Press, April, 2000
A. R. Liddle and D. H. Lyth, Cosmological Inflation and Large-Scale Structure · 2000
Earlier work this paper cites.
E. Jones, T. Oliphant, P. Peterson, et al
2001
Earlier work this paper cites.
F. Bernardeau and J.-P. Uzan, “Non-Gaussianity in multi-field inflation,” Phys. Rev
2002
Cited alongside, same era.
V. Acquaviva, N. Bartolo, S. Matarrese, and A. Riotto, “Second-order cosmological perturbations from inflation,” Nucl. Phys
2003
Cited alongside, same era.
K. Nakamura, “Gauge invariant variables in two-parameter nonlinear perturbations,” Prog. Theor. Phys
2003
Cited alongside, same era.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Cited alongside, same era.
H. Noh and J.-c. Hwang, “Second-order perturbations of the Friedmann world model,” Phys. Rev
2004
Cited alongside, same era.
F. Finelli, G. Marozzi, G. P. Vacca, and G. Venturi, “Energy-momentum tensor of cosmological fluctuations during inflation,” Phys. Rev
Springer, 2005
A. Vretblad, Fourier Analysis and Its Applications (Graduate Texts in Mathematics) · 2005
Later among the works it cites.
G. I. Rigopoulos, E. P. S. Shellard, and B. J. W. van Tent, “Non-linear perturbations in multiple-field inflation,” Phys. Rev
2006
Later among the works it cites.
N. Barnaby and J. M. Cline, “Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation,” Phys. Rev
2006
Later among the works it cites.
F. Finelli, G. Marozzi, G. P. Vacca, and G. Venturi, “Second order gauge-invariant perturbations during inflation,” Phys. Rev
2006
Later among the works it cites.
J. Martin and C. Ringeval, “Inflation after WMAP3: Confronting the slow-roll and exact power spectra to CMB data,” JCAP
2006
Later among the works it cites.
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2004
Cited alongside, same era.
N. Bartolo, E. Komatsu, S. Matarrese, and A. Riotto, “Non-Gaussianity from inflation: Theory and observations,” Phys. Rept
2004
Cited alongside, same era.
K. Enqvist and A. Vaihkonen, “Non-Gaussian perturbations in hybrid inflation,” JCAP
2004
Cited alongside, same era.
K. A. Malik and D. Wands, “Evolution of second order cosmological perturbations,” Class. Quant. Grav
2004
Cited alongside, same era.
D. H. Lyth, K. A. Malik, and M. Sasaki, “A general proof of the conservation of the curvature perturbation,” JCAP
2005
Cited alongside, same era.
D. H. Lyth and Y. Rodriguez, “The inflationary prediction for primordial non- gaussianity,” Phys. Rev. Lett
2005
Cited alongside, same era.
D. H. Lyth and Y. Rodriguez, “Non-gaussianity from the second-order cosmological perturbation,” Phys. Rev
2005
Cited alongside, same era.
R. Sinha and T. Souradeep, “Post-WMAP assessment of infrared cutoff in the primordial spectrum from inflation,” Phys. Rev
2006
Later among the works it cites.
D. Langlois and F. Vernizzi, “Nonlinear perturbations of cosmological scalar fields,” JCAP
2007
Later among the works it cites.
K. A. Malik, “A not so short note on the Klein-Gordon equation at second order,” JCAP
2007
Later among the works it cites.
D. H. Lyth, “The curvature perturbation in a box,” JCAP
2007
Later among the works it cites.
C. Ringeval, “The exact numerical treatment of inflationary models,” Lect. Notes Phys
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
K. A. Malik and D. Wands, “Cosmological perturbations,” Phys. Rept
2009
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