Fetching the paper…
Reading the bibliography…
Perturbative gravity about global de Sitter space is subject to linearization-stability constraints.
V. Bargmann, “Irreducible unitary representations of the Lorentz group,” Ann. of Math. (2) 48
1947
Earlier work this paper cites.
Bateman Manuscript Project, ”Higher transcendental functions,” New York, McGraw-Hill (1953)
1953
Earlier work this paper cites.
J. Dixmier, “Integral representations of the de Sitter group” (in French), Bull. Soc. Math. France 89
1960
Earlier work this paper cites.
R. Takahashi, “Sur les représdentations unitaires des groupes de Lorentz généralisés,” (in French), Bul.. Soc. Math. France 91
1963
Earlier work this paper cites.
P. A. M. Dirac, “Lectures on Quantum Mechanics.” Yeshiva University, NY, 1964
1964
Earlier work this paper cites.
L. J. Slater, “Generalized Hypergeometric Functions,” Cambridge, Cambridge UP (1966)
1966
Earlier work this paper cites.
I. M. Gel’fand and M. L. Tseytlin, Dokl. Akad. Nauk SSSR 71
1967
Earlier work this paper cites.
U. Ottoson, “A classification of the unitary irreducible representations of S O 0 ( N , 1 ) SO_{0}(N,1) ,” Commun. Math. Phys. 8
1968
Earlier work this paper cites.
K. B. Wolf, “Recursive method for the computation of the so(n), so(n,1), and iso(n) representation matrix elements,” J. Math. Phys. 12
1971
Earlier work this paper cites.
F. Schwarz, “Unitary irreducible representations of the groups SO(n,1),” J. Math. Phys. 12
1971
Earlier work this paper cites.
D. Brill & S. Deser, “Instability of closed spaces in general relativity,” Commun. Math. Phys. 32
1973
Earlier work this paper cites.
M. K. F. Wong, “Unitary representations of so(n,1),” J. Math. Phys. 15
1974
Earlier work this paper cites.
V. Moncrief, “Space-Time Symmetries And Linearization Stability Of The Einstein Equations. 1,” J. Math Phys. 16
1975
Earlier work this paper cites.
V. Moncrief, “Space-Time Symmetries And Linearization Stability Of The Einstein Equations. 2,” J. Math Phys. 17
1976
Earlier work this paper cites.
A. 0. Barut and R. Wilson, “Some new identities of Clebsch-Gordon coefficients and representation functions of SO(2,1) and SO(4),” J. Math. Phys. 17
1976
Earlier work this paper cites.
V. Moncrief, “Invariant states and quantized gravitational perturbations,” Phys. Rev. D18 (1978) 983
1978
Earlier work this paper cites.
J. Arms, “Linearization stability of the Einstein-Maxwell system,” J. Math. Phys 18, 830 (1977); “On coupled gravitational and gauge fields” J. Math. Phys. 20, 443 (1979)
1979
Cited alongside, same era.
A. E. Fisher and J. E. Marsden, in General Relativity: An Einstein Centenary Survey
1979
Cited alongside, same era.
M. K. F. Wong and H. Y. Yeh, “A Unified Treatment Of The Representation Functions Of SO(N,1), SO(N+1), And Iso(N),” J. Math. Phys. 22
1981
Cited alongside, same era.
J. Arms, J. Marsden and V. Moncrief, “The Structure of the Space of Solutions of EinsteinÕs Equations II”, Annals of Physics 144 (1982) 81
1982
Cited alongside, same era.
B. Allen, “Vacuum States In De Sitter Space,” Phys. Rev. D 32
1985
Cited alongside, same era.
D. Marolf, Ph.D Thesis (1992); “Quantum observables and recollapsing dynamics,” Class. Quant. Grav. 12
1995
Later among the works it cites.
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao and T. Thiemann, “Quantization of diffeomorphism invariant theories of connections with local degrees of freedom,” J. Math. Phys. 36
1995
Later among the works it cites.
D. Marolf, “Almost ideal clocks in quantum cosmology: A Brief derivation of time,” Class. Quant. Grav. 12
1995
Later among the works it cites.
D. Giulini and D. Marolf, “A uniqueness theorem for constraint quantization,” Class. Quant. Grav. 16
1999
Later among the works it cites.
A. Gomberoff and D. Marolf, “On group averaging for SO(n,1),” Int. J. Mod. Phys. D 8
1999
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
E. Mottola, “Particle Creation In De Sitter Space,” Phys. Rev. D 31
1985
Cited alongside, same era.
B. Allen and A. Folacci, “The massless minimally coupled scalar field in de Sitter space,” Phys. Rev. D 35
1987
Cited alongside, same era.
B. Allen and M. Turyn, “An evaluation of the g propagator in de Sitter space,” Nucl. Phys. B 292
1987
Cited alongside, same era.
D. Polarski, “Massive scalar field on the static de Sitter space,” Phys. Rev. D 41
1990
Cited alongside, same era.
A. Higuchi, “Quantum linearization instabilities of de Sitter space-time. 1,” Class. Quant. Grav. 8
1991
Cited alongside, same era.
A. Higuchi, “Quantum linearization instabilities of de Sitter space-time. 2,” Class. Quant. Grav. 8
1991
Cited alongside, same era.
I. Antoniadis and E. Mottola, “Graviton Fluctuations In De Sitter Space,” J. Math. Phys. 32
1991
Cited alongside, same era.
A. Higuchi and S. S. Kouris, “The covariant graviton propagator in de Sitter spacetime,” Class. Quant. Grav. 18
2001
Later among the works it cites.
A. Higuchi, “Symmetric tensor spherical harmonics on the N sphere and their application to the de Sitter group SO(N,1),” J. Math. Phys. 28
2002
Later among the works it cites.
J. Louko and A. Molgado, “Superselection sectors in the Ashtekar-Horowitz-Boulware model,” Class. Quant. Grav. 22
2005
Later among the works it cites.
B. Losic and W. G. Unruh, “On leading order gravitational backreactions in de Sitter spacetime,” Phys. Rev. D 74
2006
Later among the works it cites.
S. B. Giddings, D. Marolf and J. B. Hartle, “Observables in effective gravity,” Phys. Rev. D 74
2006
Later among the works it cites.
J. Louko, “Group averaging, positive definiteness and superselection sectors,” J. Phys. Conf. Ser. 33
2006
Later among the works it cites.
J. Louko, “Group averaging, positive definiteness and superselection sectors,” J. Phys. Conf. Ser. 33
2006
Later among the works it cites.
S. B. Giddings and D. Marolf, “A global picture of quantum de Sitter space,” Phys. Rev. D 76
2007
Later among the works it cites.
V. V. Varlamov, “Spherical functions on the de Sitter group,” J. Phys. A 40
2007
Later among the works it cites.
D. Marolf, “Asymptotic flatness, little string theory, and holography,” JHEP 0703
2007
Later among the works it cites.