Fetching the paper…
Reading the bibliography…
Cosmological perturbation theory is an example of a gauge theory, where gauge transformations correspond to changes in the space-time coordinate system.
1905
Earlier work this paper cites.
J. Grain and V. Vennin, Squeezing formalism and canonical transformations in cosmology , JCAP 2002
1910
Earlier work this paper cites.
T. Miranda, E. Frion and D. Wands, Stochastic collapse , JCAP 01
1910
Earlier work this paper cites.
1912
Earlier work this paper cites.
P.A.M. Dirac, Generalized Hamiltonian dynamics , Proc. Roy. Soc. Lond. A 246
1958
Earlier work this paper cites.
E.M. Lifshitz and I.M. Khalatnikov, About singularities of cosmological solutions of the gravitational equations. I , ZhETF 39
1960
Earlier work this paper cites.
K. Kuchař, A bubble‐time canonical formalism for geometrodynamics , Journal of Mathematical Physics 13
1972
Earlier work this paper cites.
S. Hojman, K. Kuchar and C. Teitelboim, Geometrodynamics Regained , Annals Phys. 96
1976
Earlier work this paper cites.
V.F. Mukhanov and G.V. Chibisov, Quantum Fluctuations and a Nonsingular Universe , JETP Lett. 33
1981
Earlier work this paper cites.
A.A. Starobinsky, Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations , Phys. Lett. B117
1982
Earlier work this paper cites.
J.M. Bardeen, P.J. Steinhardt and M.S. Turner, Spontaneous Creation of Almost Scale - Free Density Perturbations in an Inflationary Universe , Phys. Rev. D28
1983
Earlier work this paper cites.
H. Kodama and M. Sasaki, Cosmological Perturbation Theory , Prog. Theor. Phys. Suppl. 78
1984
Earlier work this paper cites.
A.A. Starobinsky, Stochastic de Sitter (inflationary) stage in the early universe , Lect.Notes Phys. 246
1986
Earlier work this paper cites.
K.-i. Nakao, Y. Nambu and M. Sasaki, Stochastic Dynamics of New Inflation , Prog.Theor.Phys. 80
1988
Earlier work this paper cites.
D.S. Salopek and J.R. Bond, Nonlinear evolution of long wavelength metric fluctuations in inflationary models , Phys. Rev. D42
1990
Earlier work this paper cites.
J. Goldberg, E.T. Newman and C. Rovelli, On hamiltonian systems with first‐class constraints , Journal of Mathematical Physics 32
1991
Earlier work this paper cites.
V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions , Phys. Rept. 215
1992
Earlier work this paper cites.
S. Habib, Stochastic inflation: Quantum phase-space approach , Phys. Rev. D 46
1992
Earlier work this paper cites.
G.L. Comer, N. Deruelle, D. Langlois and J. Parry, Growth or decay of cosmological inhomogeneities as a function of their equation of state , Phys. Rev. D 49
1994
Earlier work this paper cites.
D. Langlois, Hamiltonian formalism and gauge invariance for linear perturbations in inflation , Class. Quant. Grav. 11
1994
Earlier work this paper cites.
A.W. Wipf, Hamilton’s formalism for systems with constraints , Lect. Notes Phys. 434
1994
Earlier work this paper cites.
R. Amorim and A.K. Das, A Note on Abelian conversion of constraints , Mod. Phys. Lett. A 9
1994
Earlier work this paper cites.
J. Pons and L. Shepley, Evolutionary laws, initial conditions, and gauge fixing in constrained systems , Class. Quant. Grav. 12
1995
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. 95
1996
Earlier work this paper cites.
J.M. Pons, D.C. Salisbury and L.C. Shepley, Gauge transformations in the lagrangian and hamiltonian formalisms of generally covariant theories , Phys. Rev. D 55
1997
Cited alongside, same era.
R.L. Arnowitt, S. Deser and C.W. Misner, The Dynamics of general relativity , Gen. Rel. Grav. 40
1997
Cited alongside, same era.
H. Kleinert and S.V. Shabanov, Proper Dirac quantization of free particle on D-dimensional sphere , Phys. Lett. A 232
1997
Cited alongside, same era.
D. Wands, Duality invariance of cosmological perturbation spectra , Phys. Rev. D 60
1999
Cited alongside, same era.
J. Pons, D. Salisbury and L. Shepley, Reduced phase space: quotienting procedure for gauge theories , J. Phys. A 32
1999
Cited alongside, same era.
2013
Later among the works it cites.
P. Peter and J.-P. Uzan, Primordial Cosmology , Oxford Graduate Texts, Oxford University Press (2, 2013)
2013
Later among the works it cites.
2014
Later among the works it cites.
V. Vennin and A.A. Starobinsky, Correlation Functions in Stochastic Inflation , Eur. Phys. J. C75
2015
Later among the works it cites.
T. Markkanen, S. Rasanen and P. Wahlman, Inflation without quantum gravity , Phys. Rev. D 91
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D. Wands, K.A. Malik, D.H. Lyth and A.R. Liddle, A New approach to the evolution of cosmological perturbations on large scales , Phys. Rev. D62
2000
Cited alongside, same era.
J. Khoury, B.A. Ovrut, P.J. Steinhardt and N. Turok, The Ekpyrotic universe: Colliding branes and the origin of the hot big bang , Phys. Rev. D 64
2001
Cited alongside, same era.
2001
Cited alongside, same era.
I.M. Khalatnikov, A.Y. Kamenshchik and A.A. Starobinsky, Comment about quasi-isotropic solution of einstein equations near the cosmological singularity , Classical and Quantum Gravity 19
2002
Cited alongside, same era.
F. Finelli and R. Brandenberger, On the generation of a scale invariant spectrum of adiabatic fluctuations in cosmological models with a contracting phase , Phys. Rev. D 65
2002
Cited alongside, same era.
H. Goldstein, C. Poole and J. Safko, Classical Mechanics , Addison Wesley (2002)
2002
Cited alongside, same era.
D.H. Lyth and D. Wands, Conserved cosmological perturbations , Phys. Rev. D 68
2003
Cited alongside, same era.
2015
Later among the works it cites.
R. Brandenberger and P. Peter, Bouncing Cosmologies: Progress and Problems , Found. Phys. 47
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
A.A. Abolhasani, H. Firouzjahi, A. Naruko and M. Sasaki, Delta N Formalism in Cosmological Perturbation Theory , WSP (2, 2019), 10.1142/10953
2019
Later among the works it cites.
H. Firouzjahi, A. Nassiri-Rad and M. Noorbala, Stochastic Ultra Slow Roll Inflation , JCAP 01
2019
Later among the works it cites.
T. Tanaka and Y. Urakawa, Anisotropic separate universe and Weinberg’s adiabatic mode , JCAP 07
2021
Later among the works it cites.
2021
Later among the works it cites.
2022
Later among the works it cites.
2022
Later among the works it cites.
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.