Abstract
The hot big bang cosmology, or the standard cosmology as it is appropriately known, is a highly successful model, providing a reliable and tested accounting of the Universe from 0.01 s after the bang until today, some 15 Gyr later. However, very special initial data seem to be required in order to account for the observed smoothness and flatness of our Hubble volume and for the existence of the small primeval density inhomogeneities required for the formation of structure in the Universe. Inflation offers a means of accounting for these special initial data which is based upon physics at sub-Planck energy scales (≪m pl ≃ 1019 GeV) and is motivated by contemporary ideas in particle theory. Here I review the status of the “Inflationary Paradigm,” Circa 1986. At present essentially all inflationary models involve a very weakly-coupled (quantified by the presence of a dimensionless parameter of order 10−12 or so) scalar field which is displaced from the minimum of its potential. Regions of the Universe where the scalar field is initially displaced from its minimum undergo inflation as the scalar field relaxes, resulting in a Universe today which resembles ours in regions much larger than our present Hubble volume (≃ 1028 cm), but which on very large scales (≫ 1028 cm) may be highly irregular. At present, the most conspicuous blemish on the paradigm is the lack of a compelling particle physics model to implement it. I also briefly review some other unresolved issues facing inflation, including the confrontation between the predictions of inflation and observational data.
Similar content being viewed by others
References
G. Marx and A.S. Szalay, Proc. Neutrino,1, 123, 1972.
G.F. Smoot et al, Astrophys. J.,291, L23, 1985.
J. Peterson et al., Phys. Rev. Lett.,55, 332, 1985.
D.T. Wilkinson: In Inner Space/Outer Space, eds. E.W. Kolb, et al. University of Chicago Press, Chicago, 1986.
J. Yang, et al., Astrophys. J.,281, 493, 1984.
A. Boesgaard and G. Steigman, Ann Rev. Astron. Astrophys.,23, 319, 1985.
G. Efstathiou and J. Silk, Fund. Cosmic Phys.,9, 1, 1983.
J.M. Bardeen, Phys. Rev.,D22, 1882, 1980.
A. Vilenkin, Phys. Rep.,121, 263, 1985.
A. Albrecht and N. Turok, Phys. Rev. Lett.,54, 1868, 1985.
N. Turok, Phys. Rev. Lett.,55, 1801, 1985.
R.H. Dicke and P.J.E. Peebles, in General Relativity: An Einstein Centenary Survey, eds. S. Hawking and W. Israel, Cambridge University Press, Cambridge, 1979.
E.W. Kolb and M.S. Turner, Ann. Rev. Nucl. Part. Sci.,33, 645, 1983.
J. Preskill, Ann. Rev. Nucl. Part. Sci.,34, 461, 1984.
C.B. Collins and S.W. Hawking, Astrophys. J.,180, 317, 1973.
C.W. Misner, Astrophys. J.,151, 431, 1968.
C.W. Misner, in Magic Without Magic, ed. J. Klauder, Freeman, San Francisco, 1972.
R. Matzner and C.W. Misner, Astrophys. J.,171, 415, 1972.
R. Penrose, in General Relativity: An Einstein Centenary Survey, eds. S. W. Hawking and W. Israel, Cambridge University Press, Cambridge, 1979.
B. DeWitt, Phys. Rev.,90, 357, 1953.
L. Parker, Nature,261, 20, 1976.
Ya. B. Zel’dovich, JETP Lett.,12, 307, 1970.
A.A. Starobinskii, Phys. Lett.,91B, 99, 1980.
P. Anderson, Phys. Rev.,D28, 271;D29, 615, 1983.
J.M. Hartle and B.-L. Hu, Phys. Rev.,D20, 1772, 1979.
M.V. Fischetti et al., Phys. Rev.,D20, 1757, 1979.
J.M. Hartle and S. W. Hawking, Phys. Rev.,D28, 2960, 1983.
B.J. Carr and M.J. Rees, Nature,278, 605, 1979.
J.D. Barrow and F. Tipler, The Anthropic Cosmological Principle, Oxford University Press, Oxford, 1986.
D. Lindley, Fermilab preprint (unpublished), 1985.
A. Guth, Phys. Rev.,D23, 347, 1981.
A. Guth and E. Weinberg, Nucl. Phys.,B212 321, 1983.
S.W. Hawking et al., Phys. Rev.,D26, 2681, 1982.
A.D. Linde, Phys. Lett.,108B, 389, 1982.
A. Albrecht and P.J. Steinhard, Phys. Rev. Lett.,48, 1220, 1982.
M.S. Turner, Phys. Rev.,D28, 1243, 1983.
T. Bunch and P.C.W. Davies, Proc. Roy. Soc. London,A360, 117, 1978.
J.M. Bardeen et al., Phys. Rev.,D28, 679, 1983.
A. Guth and S.-Y. Pi, Phys. Rev. Lett.,49, 1110, 1982.
A.A. Starobinskii, Phys. Lett.,117B, 175, 1982.
S.W. Hawking, Phys. Lett.,115B, 295, 1982.
L. Abbott and M.B. Wise, Nucl. Phys.,B244, 541, 1984.
A.A. Starobinskii, JETP Lett.,30, 1979.
V.A. Rubakov et al., Phys. Lett.,115B, 189, 1982.
P.J. Steinhardt and M.S. Turner, Phys. Lett.,129B, 51, 1983.
A.D. Linde, Phys. Lett.,158B, 375, 1985.
D. Seckel and M.S. Turner, Phys. Rev.,D32, 3178, 1985.
M.S. Turner, in Fundamental Physics and Cosmology, eds. J. Audouze and J. Tran Thanh Van, Editions Frontieres, Gif-sur-Yvette; and in The Architecture of Fundamental Interactions at Short Distances, eds. P. Ramond and R. Stora, North-Holland, Amsterdam, 1986.
G. Coughlan et al., Phys. Lett.,131B, 54, 1983.
J.E. Ellis et al., Phys. Lett.,145B, 181, 1984.
M.Yu. Khlopov and A.D. Linde, Phys. Lett.,138B, 265, 1984.
R.J. Scherrer and M.S. Turner, Astropnys. J. in press, 1987.
Q. Shafi and A. Vilenkin, Phys. Rev. Lett.,52, 691, 1984.
S.-Y. Pi, Phys. Rev. Lett.,52, 1725, 1984.
R. Holman et al., Phys. Lett.,137B, 343, 1984.
B. Ovrut and P.J. Steinhardt, Phys. Rev. Lett.,53, 732, 1984.
B. Ovrut and P.J. Steinhardt, Phys Lett.,147B, 263, 1984.
F. Accetta et al., Phys. Rev.,D31, 3046, 1985.
B.L. Spokoiny, Phys. Lett.,147B, 39, 1984.
Q. Shafi and C. Wetterich, Phys. Lett.,129B, 387, 1983.
Q. Shafi and C. Wetterich, Phys. Lett.,152B, 51, 1985.
M.B. Mijic et al., Phys. Rev.,D34, 2934, 1986.
A.D. Linde, Phys. Lett.,129B, 177, 1983.
D.V. Nanopoulos, Comments on Astrophys.,X, 219, 1985.
A. Albrecht and R. Brandenberger, Phys. Rev.,D31, 1225, 1985.
A. Albrecht et al., Phys. Rev.,D32, 1280, 1985.
A. Guth and S.-Y. Pi, Phys. Rev.,D32, 1899, 1985.
W. Fischler et al., Nucl. Phys.,B259, 730, 1985.
A.D. Linde, Phys. Lett.,116B, 335, 1982.
A. Vilenkin and L. Ford, Phys. Rev.,D26, 1231, 1982.
M.S. Turner and L. Widrow, Phys. Rev. Lett.,57, 2237, 1986.
L. Jensen and J. Stein-Schabes, Phys. Rev.,D34, 931, 1986.
R.M. Wald, Phys. Rev.,D28, 2118, 1983.
G. Steigman and M. S. Turner, Phys. Lett.,128B, 295, 1983.
L. Jensen and J. Stein-Schabes, Phys. Rev., in press, 1986.
A.A. Starobinskii, JETP Lett.,37, 66, 1983.
N. Myhrvad, Phys. Lett.,132B, 308, 1983.
E. Mottola, Phys. Rev.,D31, 754;D33, 2136, 1985.
L. Parker, Phys. Rev. Lett.,50, 1009, 1983.
L. Ford, Phys. Rev.,D31, 710, 1985.
P. Anderson, Phys. Rev.,D32, 1302, 1985.
J. Traschen and C.T. Hill, Phys. Rev.,D33, 3519, 1986.
M.S. Turner, in Dark Matter in the Universe, eds. J. Kormendy and J. Knapp, Reidel, Dordrecht, 1986.
V. Trimble, Ann. Rev. Astron. Astrophys.,25, in press, 1987.
M.S. Turner et al., Phys. Rev. Lett.,52, 2090, 1984.
D.A. Dicus et al., Phys. Rev. Lett.,39, 168, 1977.
K. Olive et al., Astrophys. J.,292, 1, 1985.
P.J.E. Peebles, Astrophys. J.,284, 439, 1984.
N. Kaiser, Astrophys. J.,273, L17, 1983.
N. Kaiser, in Inner Space/Outer Space, eds. E.W. Kolb et al, University of Chicago Press, Chicago, 1986.
J.M. Bardeen et al., Astrophys. J.,304, 15, 1986.
A. Vilenkin, Phys. Rev. Lett.,53, 1016, 1984.
J. Charlton and M.S. Turner, Astrophys. J., in press, 1987.
S.D.M. White, in Inner Space/Outer Space, eds. E.W. Kolb et al, University of Chicago Press, Chicago, 1986.
G. Blumenthal et al., Nature,311, 517, 1986.
M. Davies et al., Astrophys. J.,292, 371, 1985.
D. Burstein et al., Astrophys. J., in press, 1986.
C.A. Collins et al., Nature,320, 506, 1986.
N. Vittorio and M.S. Turner, Astrophys. J., in press, 1987.
V. de Lapparent et al., Astrophys. J.,302, L1, 1986.
N. Vittorio and J. Silk, Astrophys. J.,285, L39, 1984.
J.R. Bond and G. Efstathiou, Astrophys. J.,285, L44, 1984.
G. Efstathiou and J.R. Bond, Mon. Not. r. Astron. Soc.,218, 103, 1986.
P. Sikivie, Phys. Rev. Lett.,51, 1415, 1983.
M. Goodman and E. Witten, Phys. Rev.,D31, 3059, 1985.
E. Loh and E. Spillar, Astrophys. J.,307, L1, 1986.
J. Silk and M.S. Turner, Phys. Rev.,D35, in press, 1987.
M.S. Turner et al., Astrophys. J., in press, 1987.
A.D. Linde, Rep. Prog. Phys.,47, 925, 1984.
L. Abbott and S.-Y. Pi, The Inflationary Universe, World Scientific, Singapore, 1986.
P.J. Steinhardt, Comments Nucl. Part. Phys.,12, 273, 1984.
R. Brandenberger, Rev. Mod. Phys.,57, 1, 1985.
P.J. Steinhardt and M.S. Turner, Phys. Rev.,D29, 2162, 1984.
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. G. Marx on his 60th birthday
Rights and permissions
About this article
Cite this article
Turner, M.S. Inflation in the Universe, circa 1986. Acta Physica Hungarica 64, 285–308 (1988). https://doi.org/10.1007/BF03158541
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03158541