Abstract
This paper reviews recent applications of the Einstein-Rosen type space-times to some problems of modern cosmology. An extensive overview of inhomogeneous universes filled with gravitational waves, classical fields, and relativistic fluids is given. The dynamics of primordial inhomogeneities, such as gravitational and matter waves and shocks, their interactions, and the global evolution of the models considered, is presented in detail.
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References
A. Einstein and N. Rosen,J. Franklin Inst. 223, 43 (1937).
J. Weber,General Relativity and Gravitational Waves (Interscience, New York, 1961).
V. D. Zakharov,Gravitational Waves in Einstein's Theory (Halsted Press, New York, 1973).
C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (W. H. Freeman, San Francisco, 1973).
M. Carmeli,Group Theory and General Relativity (McGraw-Hill, New York, 1977).
L. P. Grishchuk and A. G. Polnarev, “Gravitational Waves and Their Interaction with Matter and Fields,” inGeneral Relativity and Gravitation, A. Held, ed. (Plenum Press, New York, 1980), Vol. 2, p. 393.
N. Deruelle and T. Piran, eds.,Gravitational Radiation (North-Holland, Amsterdam, 1983).
C. M. Caves, R. W. P. Drever, V. D. Sandberg, K. S. Thorne, and M. Zimmermann,Rev. Mod. Phys. 52, 341 (1980).
A. S. Kompaneets,Zh. Eksp. Teor. Fiz. 34, 953 (1958) [Sov. Phys. JETP 7, 659 (1958)].
K. S. Thorne,Phys. Rev. 138, B251 (1965).
N. Rosen,Phys. Z. Sowjetunion 12, 366 (1937).
H. Bondi,Nature (London) 179, 1072 (1957).
H. Bondi, F. A. E. Pirani, and I. Robinson,Proc. R. Soc. London A 251, 519 (1959).
M. A. Melvin,Phys. Rev. 139, B225 (1965).
M. Misra and L. Radhakrishna,Proc. Natl. Inst. Sci. India Part A 28, 632 (1962).
K. A. Bronnikov,J. Phys. A 13, 3455 (1980).
K. Kahn and R. Penrose,Nature (London) 229, 185 (1971).
P. Szekeres,J. Math. Phys. 13, 286 (1972).
Y. Nutku and M. Halil,Phys. Rev. Lett. 39, 1379 (1977).
F. J. Tipler,Phys. Rev. D 22, 2929 (1980).
R. L. Zimmerman and R. W. Hellings,Ap. J. 241, 475 (1980).
L. P. Grishchuk,Zh. Eksp. Teor. Fiz. 67, 825 (1974) [Sov. Phys. JETP 40, 409 (1975)].
B. L. Hu and L. Parker,Phys. Rev. D 17, 933 (1978).
L. Parker,Phys. Rev. Lett. 50, 1009 (1983).
M. A. H. MacCallum, “Anisotropic and Inhomogeneous Relativistic Cosmologies,” inGeneral Relativity, S. Hawking and W. Israel, eds. (Cambridge Univ. Press, Cambridge, 1979), p. 533.
K. Tomita,Prog. Theor. Phys. 59, 1150 (1978).
M. Carmeli, Ch. Charach, and S. Malin,Phys. Rep. 76, 79 (1981).
P. J. Adams, R. W. Hellings, R. L. Zimmerman, H. Farhoosh, D. I. Levine, and S. Zeldich,Ap. J. 253, 1 (1982).
J. Wainwright, W. C. W. Ince, and B. J. Marshman,Gen. Relativ. Gravit. 10, 259 (1979).
M. Carmeli, Ch. Charach, and A. Feinstein,Phys. Lett. A 96, 1 (1983).
M. Carmeli, Ch. Charach, and A. Feinstein,Ann. Phys. (N.Y.) 150, 392 (1983).
C. B. G. McIntosh,Phys. Lett. A 69, 1 (1978).
R. Tabensky and A. H. Taub,Commun. Math. Phys. 29, 61 (1973).
R. Gowdy,Phys. Rev. Lett. 27, 827 (1971).
B. K. Berger,Ann. Phys. (N.Y.) 83, 458 (1974).
C. W. Misner,Phys. Rev. D 11, 2770 (1973).
C. W. Misner, in:Confrontation of Cosmological Theories with Observation Data, I.A.U. Symposium No. 63, M. S. Longaiz, ed. (D. Reidel, Dordrecht, 1974).
Ch. Charach and S. Malin,Phys. Rev. D 19, 3516 (1979).
A. G. Doroshkevich, Ya. B. Zeldovich, and I. D. Novikov,Zh. Eksp. Teor. Fiz. 53, 644 (1967) [Sov. Phys. JETP 26, 408 (1968)].
V. Moncrief,Phys. Rev. D 23, 312 (1981).
N. Rosen,Bull. Res. Counc. Isr. 3, 328 (1954).
M. Carmeli and Ch. Charach,Phys. Lett. A 75, 333 (1980).
Ch. Charach, to be published.
J. Centrella and R. A. Matzner,Ap. J. 230, 311 (1979).
J. Centrella and R.A. Matzner,Phys. Rev. D 25, 930 (1982).
V. A. Belinskii and V. E. Zakharov,Zh. Eksp. Teor. Fiz. 75, 1955 (1978) [Sov. Phys. JETP 48, 985 (1978)].
F. J. Chinea,Phys. Rev. Lett. 50, 221 (1983).
M. Gurses,Phys. Rev. Lett. 51, 1810(c) (1983).
B. J. Carr and E. Verdaguer,Phys. Rev. D 28, 2995 (1983).
J. Ibañez and E. Verdaguer,Phys. Rev. Lett. 51, 1313 (1983).
V. A. Belinskii and M. Francaviglia,Gen. Relativ. Gavit. 14, 213 (1982).
V. N. Lukash,Zh. Eksp. Teor. Fiz. 67, 1594 (1974) [Sov. Phys. JETP 40, 792 (1975)].
B. L. Hu,Phys. Rev. D 18, 969 (1978).
A. H. Taub,Ann. Math. 53, 472 (1951).
C. W. Misner and A. H. Taub,Zh. Eksp. Teor. Fiz. 55, 233 (1968) [Sov. Phys. JETP 28, 122 (1969)].
S. W. Hawking and G. F. R. Ellis,The Large-Scale Structure of Space-Time (Cambridge Univ. Press, Cambridge, 1973).
V. A. Belinskii and I. M. Khalatnikov,Zh. Eksp. Teor. Fiz. 63, 1121 (1972) [Sov. Phys. JETP 36, 591 (1972)].
R. A. Matzner, M. Rosenbaum, and M. P. Ryan, Jr.,J. Math. Phys. 23, 1984 (1982).
J. Wainwright,Phys. Rev. D 20, 3031 (1979).
J. D. Barrow,Nature (London) 272, 211 (1978).
V. A. Ruban,Zh. Eksp. Teor. Fiz. 72, 1201 (1976) [Sov. Phys. JETP 45, 629 (1977)].
R. Maartens and S. D. Nel,Commun. Math. Phys. 59, 273 (1978).
Ch. Charach,Phys. Rev. D 19, 3516 (1979).
Ch. Charach,Phys. Rev. D 21, 547 (1980).
Ch. Charach and S. Malin,Phys. Rev. D 21, 3284 (1980).
D. R. Brill,Phys. Rev. B 133, 845 (1964).
N. Batakis and J. M. Cohen,Ann. Phys. (N.Y.) 73, 578 (1972).
D. Lorentz,Phys. Rev. D 22, 1848 (1980).
Ch. Charach,Bull. Isr. Phys. Soc. 29, 79 (1983).
E. P. Liang,Ap. J. 204, 235 (1976).
T. E. Perko, R. A. Matzner, and L. C. Shepley,Phys. Rev. D 6, 969 (1972).
V. A. Belinskii,Zh. Eksp. Teor. Fiz. 77, 1239 (1979) [Sov. Phys. JETP 50, 623 (1979)].
R. T. Jantzen,Nuovo Cimento B 59, 287 (1980).
J. Wainwright and S. W. Goode,Phys. Rev. D 22, 1906 (1980).
J. Wainwright,J. Phys. A 14, 1131 (1981).
C. B. Collins and S. W. Hawking,Ap. J. 180, 317 (1973).
B. Mashhoon, B. J. Carr, and B. L. Hu,Ap. J. 246, 569 (1981).
B. J. Carr and B. Bertotti,Ap. J. 236, 100 (1980).
M. Rees, “Extragalactic Sources of Gravitational Waves,” inGravitational Radiation, N. Deruelle and T. Piran, eds. (North-Holland, Amsterdam, 1983).
V. A. Belinskii, E. M. Lifshitz, and I. M. Khalatnikov,Sov. Phys. Usp. 13, 745 (1971).
B. K. Berger,Phys. Lett. B 108, 394 (1983).
A. H. Guth,Phys. Rev. D 23, 347 (1981).
J. Barrow and R. Wald, preprint, (1983).
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This paper is dedicated to the 75th birthday of Professor Nathan Rosen, who pioneered the topics considered here and founded the school of relativists to which the authors belong.
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Carmeli, M., Charach, C. The Einstein-Rosen gravitational waves and cosmology. Found Phys 14, 963–986 (1984). https://doi.org/10.1007/BF01889248
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DOI: https://doi.org/10.1007/BF01889248