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As a starting point, we state some relevant geometrical properties enjoyed by the cosmological horizon of a certain class of Friedmann-Robertson-Walker backgrounds.
J. Leray, “Hyperbolic Differential Equations” , Unpublished Lecture Notes, Princeton (1953)
1953
Earlier work this paper cites.
R. Geroch, “Limits of Spacetimes” , Commun. Math. Phys 13
1969
Earlier work this paper cites.
L. Parker, “Quantized fields and particle creation in expanding universes. 1” , Phys. Rev. 183
1969
Earlier work this paper cites.
C. Schomblond and P. Spindel “Conditions d’unicité pour le propagateur Δ ( 1 ) ( x , y ) \Delta^{(1)}(x,y) du champ scalaire dans l’univers de de Sitter” , Ann. Inst. Henri Poincaré 25
1976
Earlier work this paper cites.
R. Geroch in: P. Esposito, L. Witten (Eds.) “Asymptotic Structure of Spacetime” , Plenum (1977)
1977
Earlier work this paper cites.
A. Ashtekar and B. C. Xanthopoulos, “Isometries compatible with asymptotic flatness at null infinity: a complete description” , J. Math. Phys. 19
1978
Earlier work this paper cites.
T.S. Bunch and P.C.W. Davies, “Quantum Fields theory in de Sitter space: renoramlization by point-splitting” , Proc. R. Soc. Lond. A 360
1978
Earlier work this paper cites.
J. Dimock: “Algebras of Local Observables on a Manifold” , Commun. Math. Phys. 77
1980
Earlier work this paper cites.
N.D. Birrel and P.C.W. Davies, “Quantum Field Theory in Curved Space” , Cambridge University Press (1982)
1982
Earlier work this paper cites.
R. M. Wald: “General Relativity” , Chicago University Press, (1984)
1984
Earlier work this paper cites.
B. Allen, “Vacuum states in the Sitter space”
1985
Earlier work this paper cites.
C. Lüders and J. E. Roberts, “Local Quasiequivalence and Adiabatic Vacuum States” , Comm. Math. Phys. 134
1990
Earlier work this paper cites.
B. S. Kay, R. M. Wald, “Theorems On The Uniqueness And Thermal Properties Of Stationary, Nonsingular, Quasifree States On Space-Times With A Bifurcate Killing Horizon” , Phys. Rept. 207
1991
Earlier work this paper cites.
R. Haag, “Local quantum physics: Fields, particles, algebras” , Second Revised and Enlarged Edition, Springer (1992)
1992
Cited alongside, same era.
J. Bros, U. Moschella and J. P. Gazeau, “Quantum field theory in the de Sitter universe” , Phys. Rev. Lett. 73
1994
Cited alongside, same era.
1994
Cited alongside, same era.
I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products , Fifth Edition, Academic Press, (1995)
1995
Cited alongside, same era.
J. Bros and U. Moschella, “Two-point Functions and Quantum Fields in de Sitter Universe,” Rev. Math. Phys. 8
1996
Cited alongside, same era.
M. Duetsch and K. H. Rehren, “Generalized free fields and the AdS-CFT correspondence” , Annales Henri Poincare 4
2003
Later among the works it cites.
V. Moretti, “Comments on the stress energy tensor operator in curved space-time”. Commun. Math. Phys. 232
2003
Later among the works it cites.
G.S. Hall “Symmetries and Curvature Structire in General Relativity” , World Scientific Publishing, (2004)
2004
Later among the works it cites.
J. N. Islam: “An introduction to mathematical cosmology” , Cambridge Univ. Press., Cambridge (2004)
2004
Later among the works it cites.
S. Hollands, R.M. Wald: “Conservation of the stress tensor in interacting quantum field theory in curved spacetimes”. Rev. Math. Phys. 17
2005
Later among the works it cites.
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A. Linde: “Particle Physics and Inflationary Cosmology” , Harwood Academic Publishers (1996)
1996
Cited alongside, same era.
H. Araki: “Mathematical Theory of Quantum Fields” , Oxford University Press (1999)
1999
Cited alongside, same era.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity” , Phys. Rept. 323
2000
Cited alongside, same era.
S. Hollands: “Aspects of Quantum Field Theory in Curved Spacetime” , Ph.D. Thesis - University of York (2000), advisor B.S. Kay, unpublished
2000
Cited alongside, same era.
O. Bratteli, D. W. Robinson, “Operator algebras and quantum statistical mechanics. Vol. 1: C* and W* algebras, symmetry groups, decomposition of states” , 2nd edition, Springer-Verlag (2002)
2002
Cited alongside, same era.
O. Bratteli, D. W. Robinson, “Operator algebras and quantum statistical mechanics. Vol. 2: Equilibrium states. Models in quantum statistical mechanics” , 2nd edition, Springer (2002)
2002
Cited alongside, same era.
W. Junker and E. Schrohe, “Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties” , Annales Poincare Phys. Theor. 3
2002
Cited alongside, same era.
C. Dappiaggi, V. Moretti and N. Pinamonti, “Rigorous steps towards holography in asymptotically flat spacetimes” , Rev. Math. Phys. 18
2006
Later among the works it cites.
V. Moretti, “Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable” , Commun. Math. Phys. 268
2006
Later among the works it cites.
W. Rindler, “Relativity. Special, General and Cosmological” , Second Edition, Oxford University Press, (2006)
2006
Later among the works it cites.
C. Bär, N. Ginoux, F. Pfäffle, “Wave equations on Lorentzian manifolds and quantization” , ESI Lectures in Mathematics and Physics
2007
Closest in time.
H. Olbermann, “States of low energy on Robertson-Walker spacetimes” , Class. Quantum. Grav. 24
2007
Closest in time.
C. Dappiaggi, “Projecting massive scalar fields to null infinity” , Ann. Henri Poinc. 9
2008
Closest in time.
V. Moretti, “Quantum out-states states holographically induced by asymptotic flatness: Invariance under spacetime symmetries, energy positivity and Hadamard property” , Commun. Math. Phys. 279
2008
Closest in time.