References
Bondi, H. 1960. Cosmology (Cambridge University Press).
Carter, B. 1971. Causal structure in space-time. Gen. Rel. Grav. 1: 349-391.
Cohn, P.M. 1957. Lie groups (Cambridge Tracts in Mathematics and Mathematical Physics, No. 46.) (Cambridge University Press, New York).
Dodelson, S. 2003. Modern Cosmology (Academic Press).
Ehlers, J. 1961. Contributions to the Relativistic Mechanics of Continuous Media. Akademie der Wissenschaften und Literatur (Mainz), Abhandlungen der Mathematisch-Naturwissenschaftlichen Klasse Nr. 11, pp. 792-837. Reprinted Gen. Rel. Grav. 25: 1225-66 (1993).
Einstein, A. 1915. Die Feldgleichungen der Gravitation. Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 1915: 844-847.
Ellis, G.F.R. 1971. Relativistic Cosmology. Proceedings of the International School of Physics “Enrico Fermi”, Course 47: General relativity and cosmology, edited by R.K. Sachs (Academic Press), pp. 104-182. Reprinted: Gen. Rel. Grav. 41: 581 (2009).
Ellis, G.F.R. and B.G. Schmidt. 1977. Singular space-times. Gen. Rel. Grav. 11: 915-953.
Ellis, G.F.R. and R. Maartens. 2004. The Emergent Universe: inflationary cosmology with no singularity. Class. Quant. Grav. 21: 223-232.
Ellis, G.F.R., R. Maartens and M.A.H. MacCallum. 2012. Relativistic Cosmology (Cambridge University Press).
Geroch, R. 1966. Singularities in closed universes. Phys. Rev. Lett. 17: 445-447.
Geroch, R. 1968. Local Characterization of Singularities in General Relativity. J. Math. Phys. 9: 450.
Geroch, R. 1970. Domain of Dependence. J. Math. Phys. 11: 437.
Gödel, K. 1949. An Example of a New Type of Cosmological Solutions of Einstein’s Field Equations of Gravitation. Rev. Mod. Phys. 21: 447. Reprinted: Gen. Rel. Grav. 32: 1409 (2000).
Gödel, K. 1952. Rotating Universes in General Relativity Theory. Proceedings of the International Congress of Mathematicians, edited by L.M. Graves et al., Cambridge, Mass. Vol. 1, p. 175. Reprinted Gen. Rel. Grav. 32: 1419 (2000).
GRG Bulletin on General Relativity and Gravitation. 1965. Report on the London Conference on general relativity and gravitation. September 1965, Vol. 9, Issue 1, pp. 1-2
Guth, A.H. 1981. Inflationary universe: A possible solution to the horizon and flatness problems. Phys. Rev. D 23: 347-356.
Hawking, S.W. 1965a. Occurrence of singularities in open universes. Phys. Rev. Lett. 15: 689-690.
Hawking, S.W. 1965b. Singularities and the geometry of space-time. Ph.D. Thesis, Cambridge.
Hawking, S.W. 1966a. Singularities in the universe. Phys. Rev. Lett. 17: 444-445.
Hawking, S.W. 1966b. The Occurrence of singularities in cosmology. Proc. Roy. Soc. Lond. A294: 511-521.
Hawking, S.W. 1966c. Perturbations of an expanding universe. ApJ 145: 544-554.
Hawking, S.W. 1966d. The Occurrence of singularities in cosmology. II. Proc. Roy. Soc. Lond. A295: 490-49.
Hawking, S.W. 1966e. Singularities and the Geometry of Spacetime. Adams Prize Essay (unpublished).
Hawking, S.W. 1967. The occurrence of singularities in cosmology. III. Causality and singularities. Proc. Roy. Soc. Lond. A300: 187-201.
Hawking, S.W. 1968. The Existence of cosmic time functions. Proc. Roy. Soc. Lond. A308: 433-435.
Hawking, S.W. 1970. The conservation of matter in general relativity. Commun. Math. Phys. 18: 301-306.
Hawking, S.W. 1971. Stable and generic properties in general relativity. Gen. Rel. Grav. 1: 393-400.
Hawking, S.W. 2014. Singularities and the Geometry of Spacetime. Eur. Phys. J. H, DOI: 10.1140/epjh/e2014-50013-6
Hawking, S.W. and G.F.R. Ellis. 1965. Singularities in homogeneous world models. Phys. Lett. 17: 246-247.
Hawking, S.W. and G.F.R. Ellis. 1968. The Cosmic black body radiation and the existence of singularities in our universe. ApJ 152: 25.
Hawking, S.W. and G.F.R. Ellis. 1973. The Large scale structure of space-time (Cambridge University Press, Cambridge).
Hawking, S.W. and R. Penrose. 1970. The Singularities of gravitational collapse and cosmology. Proc. Roy. Soc. Lond. A314: 529-548.
Heckmann, O. and E. Schücking. 1962. Relativistic Cosmology. In Gravitation, an Introduction to Current Research, edited by L. Witten, Wiley, New York, p. 438.
Helgason, S. 1962. Differential geometry and symmetric spaces (Academic Press).
Jordan, P., J. Ehlers and R. Sachs. 1961. Exact solutions of the field equations of general relativity. II. Contributions to the theory of pure gravitational radiations. Akad. Wiss. Lit. Mainz Abhandl. Mat. Nat. Kl. Klasse Nr 1: 1-62. Reprinted in English: Gen. Rel. Grav. 45: 2691-753 (2013).
Kristian, J. and R.K. Sachs. 1966. Observations in cosmology. ApJ 143: 379.
Kronheimer, E.H. and R. Penrose. 1967. The structure of causal spaces. Mathematical Proceedings of the Cambridge Philosophical Society 63: 481-501.
Kruskal, M.D. 1960. Maximal extension of Schwarzschild metric. Phys. Rev. 119: 1743-1745.
Kundt, W. 1968. Recent Progres in Cosmology. Springer Tracts modern physics 47: 111-142.
Kundt, W. and M. Trümper. 1962. Beiträge zur Theorie der Stahlungsfelder. Akad. Wiss. Lit. in Mainz, Abh. Math.-nat. Klasse, Nr. 12.
Maartens, R. and B.A. Bassett. 1998. Gravito-electromagnetism. Class. Quantum Grav. 15: 705.
Milnor, J.W. 1963. Morse theory (Princeton University Press).
Newman, E.T. and R. Penrose. 1962. An Approach to Gravitational Radiation by a Method of Spin Coefficients. J. Math. Phys. 3: 566.
Oppenheimer, J.R. and H. Snyder. 1939. On Continued Gravitational Contraction. Phys. Rev. 56: 455-459.
Penrose, R. 1963. Conformal treatment of infinity. In Relativity, Groups, and Topology, edited by C. de Witt and B. de Witt (Gordon and Breach). Reprinted Gen. Rel. Grav. 43: 901-22 (2011).
Penrose, R. 1965. Gravitational collapse and space-time singularities. Phys. Rev. Lett. 14: 57.
Penrose, R. 1972. Techniques in Differential Topology in Relativity. CBMS-NSF Regional Conference Series in Applied Mathematics (SIAM).
Pirani, F.A.E. 1956. On the Physical Significance of the Riemann Tensor. Acta Physica Polonica 15: 389-405 (1956). Reprinted Gen. Rel. Grav. 41: 1216 (2009).
Pirani, F.A.E. 1957. Invariant Formulation of Gravitational Radiation Theory. Phys. Rev. 105: 1089.
Raychaudhuri, A. 1955. Relativistic Cosmology. I. Phys. Rev. 98: 1123. Reprinted Gen. Rel. Grav. 32: 749 (2000).
Rindler, W. 1956. Visual Horizons in World Models. Mon. Not. Roy. Astr. Soc. 116: 662-677. Reprinted: Gen. Rel. Grav. 34: 133 (2002).
Schmidt, B.G. 1971. A new definition of singular points in general relativity. Gen. Rel. Grav. 1: 269-280.
Synge, J.L. 1934. On the Deviation of Geodesics and Null Geodesics, Particularly in Relation to the Properties of Spaces of Constant Curvature and Indefinite Line-Element. Ann. Math. 35: 705-713. Reprinted Gen. Rel. Grav. 41: 1206 (2009).
Taub, A.H. 1951. Empty Space-Times Admitting a Three Parameter Group of Motions. Annals of Mathematics 53: 472-490. Reprinted: Gen. Rel. Grav. 36: 2699 (2004).
Tipler, F.J. 1977. Singularities and causality violation. Annals of Physics 108: 1-36.
Tipler, F.J. 1978. Energy conditions and spacetime singularities. Phys. Rev. D 17: 2521-2528.
Tipler, F.J., C.J.S. Clarke and G.F.R. Ellis. 1980. Singularities and Horizons. In General Relativity and Gravitation. One hundred years after the birth of Albert Einstein, edited by A. Held, Plenum Press, New York, Vol. 2, p. 97.
Wheeler, J.A. 1963. Geometrodynamics and the issue of the final state. In Relativity, Groups and Topology, edited by C. de Witt and B. de Witt, Gordon and Breach, New York, pp. 317-522.
Wheeler, J.A. 1996. At Home in the Universe (Masters of Modern Physics) (American Institute of Physics).
Zeeman, E.C. 1964. Causality implies the Lorentz group. J. Math. Phys. 5, 490.
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Ellis, G. Stephen Hawking’s 1966 Adams Prize Essay. EPJ H 39, 403–411 (2014). https://doi.org/10.1140/epjh/e2014-50014-x
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DOI: https://doi.org/10.1140/epjh/e2014-50014-x