×

General relativity in the large. (English) Zbl 0339.53038


MSC:

53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
Full Text: DOI

References:

[1] Avez, A. (1963). Essais de Géométrie Riemannienne Hyperbolique Globale,Ann. Inst. Fourier,13, 105. · Zbl 0188.54801
[2] Carter, B. (1971).GRG Journal,1, 349.
[3] Choquet-Bruhat, Y., Geroch, R. (1969). Global Aspects of the Cauchy Problem in General Relativity,Comm. Math. Phys.,14, 329. · Zbl 0182.59901 · doi:10.1007/BF01645389
[4] Courant, R. and Hilbert, D. (1965).Methods of Mathematical Physics, Vol. II. Interscience, New York.
[5] Duhem, P. (1954).The Aim and Structure of Physical Theory, Princeton U. Press, Princeton. · Zbl 0058.17503
[6] Ehresmann, C. (1951). Colloque de Topologie Algébrique (espaces fibrés), Bruxelles.
[7] Geroch, R. (1968). What is a Singularity in General Relativity?,Ann. Phys.,48, 526. · Zbl 0167.56501 · doi:10.1016/0003-4916(68)90144-9
[8] Geroch, R. (1968). The Structure of Singularities, article inBattelle Recontres (Eds. C. DeWitt, J. A. Wheeler), Benjamin, New York. · Zbl 0174.28401
[9] Geroch, R. (1968). The Spinor Structure of Space-times in General Relativity, I,J. Math. Phys.,9, 1739. · Zbl 0165.29402 · doi:10.1063/1.1664507
[10] Geroch, R. (1970). Domain of Dependence,J. Math. Phys.,11, 437. · Zbl 0189.27602 · doi:10.1063/1.1665157
[11] Geroch, R. (1970). Singularities, article inRelativity (Eds. M. Carmeli, S. Fickler, L. Witten), Plenum Press, New York.
[12] Geroch, R. Space-time Structure from a Global Viewpoint, article inInternational School of Physics, ’Enrico Fermi’, Course XLVII (to be published by Academic Press).
[13] Hajteek, P. (1971). Bifurcate Space-times,J. Math. Phys.,12, 157. · Zbl 0206.24503 · doi:10.1063/1.1665474
[14] Hawking, S. W. (1966).Singularities in the Geometry of Space-time (preprint, U. Cambridge.)
[15] Hawking, S. W. (1966). The Occurrence of Singularities in Cosmology I,Proc. Roy. Soc.,294A, 511. · Zbl 0139.45803
[16] Hawking, S. W. (1967). The Occurrence of Singularities in Cosmology III,Proc. Roy. Soc.,300A, 187. · Zbl 0163.23903
[17] Hawking, S. W. (1969). The Existence of Cosmic Time Functions,Proc. Roy. Soc.,308A, 433. · Zbl 0181.57303
[18] Hawking, S. W. and Penrose, R. The Singularities of Gravitatronal Collapse and Cosmology,Proc. Roy. Soc. (submitted for publication). · Zbl 0954.83012
[19] Komar, A. (1956). The Necessity of Singularities in the Field Equations of General Relativity,Phys. Rev.,104, 544. · Zbl 0072.21402 · doi:10.1103/PhysRev.104.544
[20] Kronheimer, E. H. and Penrose, R. (1967). On the Structure of Casual Spaces,Proc. Camb. Phil. Soc.,63, 481. · Zbl 0148.46502 · doi:10.1017/S030500410004144X
[21] Kundt, W. (1963). Note on the Completeness of Space-times,Zeit. fur Physik,172, 488. · Zbl 0107.43903 · doi:10.1007/BF01378912
[22] Misner, C. W. (1963). The Flatter Regions of Newman, Unti, and Tamburino’s Generalized Schwarzschild Space,J. Math. Phys.,4, 924. · doi:10.1063/1.1704019
[23] Penrose, R. (1965). Gravitational Collapse and Space-time Singularities,Phys. Rev. Lett.,14, 57. · Zbl 0125.21206 · doi:10.1103/PhysRevLett.14.57
[24] Penrose, R. (1968). The Structure of Space-time, article inBattelle Recontres (Eds. C. DeWitt, J. A. Wheeler, Benjamin, New York.
[25] Zeeman, E. C. (1964). Causality Implies the Lorentz Group,J. Math. Phys.,5, 490. · Zbl 0133.23205 · doi:10.1063/1.1704140
[26] Hawking, S. W. (1971). Stable and Generic Properties in General Relativity,GRG Journal,1, 393. · Zbl 0332.53040
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.