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Точные решения уравнений Эйнщтейна - Крамер Д.

Крамер Д., Штефани Э., Херльт М., Мак-Каллум М. Точные решения уравнений Эйнщтейна — М.: Энергоиздат, 1982. — 416 c.
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Preprint, University of TVttrzburg. See § 31.3.

? Dillard-Bleick, M. See ? Choquet-Bruhat et al. (1978)

? Ernst, F. J. See Q Hauser and Ernst (1979a, Ъ)

? Flaclas, С., and Cohen, J. M. (1978). Jjotdtty Tolatiomtty Symmetric corndogical model

containing a nonrotationatty symmetric electromagnetic field, PhyB. Rev. B18, 4373. See §9.1.

? Flaclas, C., and Cohen, J. M. (1979). TUted Siantihi Iype-III cosmologies, Phys. Rev. D19,

1051. See § 12.3.

? Glass, E. X. (1979). Shear-free gravitational collapse, У. Math. Phys. 20.1608. See § 14.2.

O Halil, M. (1979). Colliding plane gravitational leaves, J. Math. Phys. SO, 120. See § 15.2.

? Hall, G. S. See ? Crade and Hall (1979)

? Hauser, I., and Ernst, F. J. (1979a). Integral equation method for effecting Kinnersley-Chilrt

transformations, Phys. Rev. D 20, 362, 1783, See § 30.4.

404
O Hauser, 1., and Ernst, F. J. (1979b). Л homogeneous Hilbert problem for the Kinnersley-Chitre transformations, Preprint, Institute of Technology, Chicago. See § 30.4.

Q Herlt, E. (1980). Kerr-ScMld pure radiation fields with axial symmetry GRG (to appear). See § 28.4.

Q Herlt, E., an4t Hermann, H. Ch. (1980). A. note on the equivalence of two axially symmetric stationary perfect fluid equations, Exp. Xeclinik Physik 28, 97. See § 19.2.

? II'Tmann. H. Ch. See ? Herlt and Hermann (1980)

O Hoenselaers, C., Kinnersloy, W., and Xanthopo alos, В. C. (1979). Generation of asymptotically flat, stationary space-times with any number of parameters, Phys. Rev. Lett. 42, 481. See §§ 30.4., 30.5.

? Hoenselaers, C., Kiimersley, W., and Xanthopoulos, В. C. (1980). Symmetries of the statio-

nary Einstein-MaxweTl equations. VI. Transformations which generate asymptotically flat space-times with arbitrary multipole moments, J. Math. Phys. (to appear). See §§ 30.4.,

30.5.

? KinnersIey5 \V. See ? Cox and Kinnersley (1979), ? Hoenselaers ct al. (1979. 1980)

П Koppel, A. (1967). On the exact scmigeodetic two-variable, solutions of Einstein s empty space equations (in Bussian), Trudy Inst-. Fiz. Astron., Akad, Nauk Eston. ,SSR, 33. 18. See § 15.4.

O Kundu, P. (1978). Trofeclion tensor formalism, for stationary axisymmetric gravitational fields, Phys. Rev. D 18, 4471. See § 17.3. f~l Kramer, X). (1978). Homogeneous Hinstein-Mctxwell fields, Acta Phys. Ar-ad. Sci. Hung. 44, 353. See § 10.3.

Q Kramer, D. (1980). Space-times with a group of motions on null hypersurfaces, J. Phys. A 13. L 43. See § 21.2.

Q Kramer, D., and Neugebauer, (¦}. (1980). The superposition of two Kerr solutions, Phvs. betters A 75, 259. See § 30.5.

Q Lun, A. W. C. (1978). A class of twisting type II and type III solutions admitting two Killing vectors, Phys. Letters A 69,79. See § 33.2.

? MacCallum, М. A. H. See O Siklos and MacCalIum (1980)

П Maison, D. (1979). On the complete integrability of the stationary, axially symmetric Einstein equations, J. Math, Phys. 20, 871. See § 30.4.

? Marshman, B. J. See ? Wainwright and Marshman (1979)

? McIntosh, C. B. G. (1978). Self-similar cosmologies with equation of state p = /<, Phys.

Letters A 69, I. See S 15.1.

? Neugebauer, G. (1980a). Л general integral of the axially symmetric stationary Einstein

equations, J. Phys. A13, L 19. See § 30.4.

? Neugebauer, G. (1980b). Recursive calculation of axially symmetric stationary Einstein fields,

J. Phys. A (to appear). See §§ 30.4., 30.5.

O Neugebauer, G. See also ? Kramer and Neugebauer (1980)

? OIeson, М. K. (1972). Algebraically special fluid space-times with shearing rays, Ph. D. The-

sis, University of Waterloo.',See §§ 29.1,, 29.1.

? Siidiger, R. See ? Dietz and Budiger (1979)

? Siklos, S. Т. C., and MacCallum, M. A. H. (1980). The algebraically special hypersurf ace-homo-

geneous Einstein spaces, Preprint. See § 11.3.

П Stephani, H. (1980). Some new algebraically special radiation field solutions connected with Hauser's type N vacuum solution, Abstracts of GR9, Jena. See §§ 25.4., 26.6.

? Szafron, D. A. See ? Collins and Szafron (1979)

0 Tanabe, Y. (1979). Generation of the Lewis solutions from the Weyl solutions, J. Math. Phys. 20, 1486. See § 30.5.

Q Wainwright, J., and Marshman, B. J. (1979), Some exact cosmological models with gravitational waves, Phys. Letters A 72, 275. See § 15,1.

O Xanthopoulos, В. C. See ? Hoenselaers et al. {1979, 1980)

_? Zakhar«v, V. E. See ? Belinski and Zakharov (1978, 1979)

405
АЛФАВИТНО-ПРЕДМЕТНЫЙ УКАЗАТЕЛЬ

Абелева группа 73

Автомодельное пространство-время 154 Аксиальная симметрия 173 Аксиально-симметричное стационарное пространство-время 173, 323, 363 Алгебраически специальные гравитационные поля 44, 69, 223 Атлас 17

Аффинный параметр 27

Базис:

векторного пространства 18 координатный 18, 31 ортоиормированиый 30 преобразования 19, 21 Беля — Секереша метрика 155 Бертотти — Робинсона решение 95, 155, 233, 338. 359

Бесконечно-параметрическая группа 324 Бнанки:
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