On asymptotically flat solutions of Einstein's equations periodic in time I. Vacuum and electrovacuum solutions

Papapetrou, A. 1957 Über periodische nichtsinguläre Lösungen in der allgemeinen Relativitätstheorie Ann. Physik (6) 20

1957

Earlier work this paper cites.

Trautman, A. 1957 Proof of the non-existence of periodic gravitational fields representing radiation Bull. Acad. Polon. Sci. Cl. III. 5

1957

Earlier work this paper cites.

Papapetrou, A. 1958 Über periodische Gravitations- und elektromagnetische Felder in der allgemeinen Relativitätstheorie Ann. Physik (7) 1

1958

Earlier work this paper cites.

Papapetrou, A. 1962 Non-existence of periodically varying non-singular gravitational fields in Les théories relativistes de la gravitation (Royaumont, 1959) pp. 193–198 Editions du Centre National de la Recherche Scientifique, Paris

1959

Earlier work this paper cites.

Newman, E.T. and Penrose, R. 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys. 3

1962

Earlier work this paper cites.

Schild, A. 1963 Electromagnetic two-body problem Physical Review, vol. 131, Issue 6, pp. 2762–2766

1963

Earlier work this paper cites.

Exton, A.R., Newman, E.T. and Penrose, R. 1969 Conserved quantities in the Einstein-Maxwell theory J. Math. Phys. 10

1969

Earlier work this paper cites.

Hawking, S. W. and Ellis, G. F. R. 1973 The large scale structure of space-time Cambridge University Press, London-New York

1973

Earlier work this paper cites.

Friedrich, H. 1981 On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations Proc. Roy. Soc. London Ser. A 375

1981

Cited alongside, same era.

Friedrich, H. 1982 On the existence of analytic null asymptotically flat solutions of Einstein’s vacuum field equations Proc. Roy. Soc. London Ser. A381

1982

Cited alongside, same era.

Gibbons, G. W. and Stewart, J. M. 1984 Absence of asymptotically flat solutions of Einstein’s equations which are periodic and empty near infinity in Classical general relativity (London, 1983) 77–94, editors W. Bonnor, J. N. Islam and M. A. H. Callum, Cambridge University Press, Cambridge

1983

Cited alongside, same era.

Moncrief, V. and Isenberg, J. 1983 Symmetries of cosmological Cauchy horizons. Comm. Math. Phys. 89

1983

Cited alongside, same era.

Galloway, G. J. 1984 Splitting theorems for spatially closed space-times Comm. Math. Phys. 96

Bizoń, P. and Wasserman, A. 2000, On existence of mini-boson stars , Commun. Math. Phys. 215

2000

Later among the works it cites.

Gair, J. R. 2001 Spherical universes with anisotropic pressure Class. Quant. Grav. 18

2001

Later among the works it cites.

Stephani, H., Kramer, D., MacCallum, M. A. H., Hoenselaers, C. and Herlt, E. 2003 Exact solutions to Einstein’s field equations (Second Edition) Cambridge University Press, Cambridge

2003

Later among the works it cites.

Bičák, J. and Schmidt, B. G. 2007 Helical symmetry in linear systems , Phys. Rev. D76, 104040 (11 pages)

2007

Later among the works it cites.

Workshop on Helically Symmetric Systems 2007 Max Planck Institute for Gravitational Physics, Potsdam, Germany , http://www.aei.mpg.de/ ∼ \sim workshop/helical/index.html

Original

2007

Later among the works it cites.