Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



General relativity and cosmology

Authors: R. K. Sachs and H. Wu
Journal: Bull. Amer. Math. Soc. 83 (1977), 1101-1164
MSC (1970): Primary 53C50, 53-02, 83C99, 83F05, 83-02; Secondary 53C20, 53B30, 83C05, 85-02, 85A40
MathSciNet review: 0503499
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. M. Alonso and E. J. Finn, Fundamental university physics. I, II, Addison-Wesley, New York, 1970.
  • 2. Richard L. Bishop and Richard J. Crittenden, Geometry of manifolds, Pure and Applied Mathematics, Vol. XV, Academic Press, New York-London, 1964. MR 0169148
  • 3. Richard L. Bishop and Samuel I. Goldberg, Tensor analysis on manifolds, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1968. MR 0224010
  • 4. B. S. DeWitt (ed.), Black holes/Les astres occlus, Gordon and Breach Science Publishers, New York-London-Paris, 1973. Based on the lectures given at the 23rd session of the Cours de l’École d’Été de Physique Théorique, Les Houches, August 1972. MR 0408678
  • 5. G. F. R. Ellis, Relativistic cosmology, General relativity and cosmology (Proc. Internat. School of Physics “Enrico Fermi”, Italian Phys. Soc., Varenna, 1969) Academic Press, New York, 1971, pp. 104–182. MR 0351371
  • 6. Arthur E. Fischer and Jerrold E. Marsden, Linearization stability of nonlinear partial differential equations, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 2, Stanford Univ., Stanford, Calif., 1973) Amer. Math. Soc., Providence, R.I., 1975, pp. 219–263. MR 0383456
  • 7. Robert Geroch, Domain of dependence, J. Mathematical Phys. 11 (1970), 437–449. MR 0270697,
  • 8. R. Geroch, E. H. Kronheimer, and R. Penrose, Ideal points in space-time, Proc. Roy. Soc. London Ser. A 327 (1972), 545–567. MR 0316035,
  • 9. S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time, Cambridge University Press, London-New York, 1973. Cambridge Monographs on Mathematical Physics, No. 1. MR 0424186
  • 10. SigurÄ‘ur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
  • 11. Noel J. Hicks, Notes on differential geometry, Van Nostrand Mathematical Studies, No. 3, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965. MR 0179691
  • 12. S. Kobayashi and K. Nomizu, Foundations of differential geometry. I, II, Interscience, New York and London, 1963, 1969. MR 27 #2945; 38 #6501.
  • 13. Eugen Merzbacher, Quantum mechanics, Second edition, John Wiley & Sons, Inc., New York-London-Sydney, 1970. MR 0260284
  • 14. Charles W. Misner, Kip S. Thorne, and John Archibald Wheeler, Gravitation, W. H. Freeman and Co., San Francisco, Calif., 1973. MR 0418833
  • 15. P. J. E. Peebles, Physical cosmology, Princeton Univ. Press, Princeton, N. J., 1971.
  • 16. Roger Penrose, Techniques of differential topology in relativity, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1972. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 7. MR 0469146
  • 17. R. K. Sachs, Cosmology, Relativity, Astrophysics and Cosmology, Reidel, Holland, 1973, pp. 197-236.
  • 18. Rainer Kurt Sachs and Hung Hsi Wu, General relativity for mathematicians, Springer-Verlag, New York-Heidelberg, 1977. Graduate Texts in Mathematics, Vol. 48. MR 0503498
    R. K. Sachs and H. Wu, General relativity and cosmology, Bull. Amer. Math. Soc. 83 (1977), no. 6, 1101–1164. MR 0503499,
  • 19. K. S. Thorne, The search for black holes, Scientific American, vol. 231, no. 6, Dec. 1974.
  • 20. S. Weinberg, Gravitation and cosmology, Wiley, New York, 1972.
  • 21. S. Weinberg, Unified theories of elementary particle interaction, Scientific American, vol. 231, no. 1, July 1974.

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 53C50, 53-02, 83C99, 83F05, 83-02, 53C20, 53B30, 83C05, 85-02, 85A40

Retrieve articles in all journals with MSC (1970): 53C50, 53-02, 83C99, 83F05, 83-02, 53C20, 53B30, 83C05, 85-02, 85A40

Additional Information