Abstract
My aim in these lectures is to provide that background information about modern mathematical work in relativistic cosmology which I feel astrophysicsts should know. It is thus a personal selection (though it omits certain things I might have said had I not known that Dr Centrella would ably say them).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bardeen, J. 1980, Phys.Rev.D. 22, 1882.
Barrow, J.D. 1978. Nature, 272. 211.
Barrow, J.D. 1981. Phys. Rev. Lett., 46, 963.
Barrow, J.D. 1982. Phys.Reports (in press).
Barrow, J.D. and Tipler, F.J. 1978. Nature 275, 453.
Barrow, J.D. and Tipler, F.J. 1979. Phys.Reports, 56C, 371.
Belinskii, V.A. 1975. Private communication.
Belinskii, V.A. and Khalatnikov, I.M. 1965. Zh.E.T.F. 49, 1000:
Belinskii, V.A. and Khalatnikov, I.M. (Sov.Phys.J.E.T.P. (1966) 22, 694).
Belinskii, V.A. and Khalatnikov, I.M. 1969. Zh.E.T.F. 56, 1700:
Belinskii, V.A. and Khalatnikov, I.M. 1969.(Sov.Phys.J.E.T.P. 29, 911).
Belinskii, V.A. and Khalatnikov, I.M. 1972. Zh.E.T.F. 63, 1121.
Belinskii, V.A. and Khalatnikov, I.M. 1969.(Sov.Phys.-J.E.T.P. 36, 591).
Belinskii, V.A., Lifschitz, E.M. and Khalatnikov, I.M. 1970. Adv.Phys. 19, 525.
Belinskii, V.A. and Khalatnikov, I.M. 1969.(or Usp.Fiz.Nauk. 102, 463:
Belinskii, V.A. and Khalatnikov, I.M. 1969.Sov.Phys. Usp. 13, 745).
Belinskii, V.A., Lifschitz, E.M. and Khalatnikov, I.M. 1972. Zh.E.T.F. 62, 1202:
Belinskii, V.A., Lifschitz, E.M. and Khalatnikov, I.M. 1972.(Sov.Phys.-J.E.T.FP. 35, 838).
Belinskii, V.A., Lifschitz, E.N. and Khalatnikov, I.M. 1980. Phys.Lett.A. 77, 214.
Bogoyavlenskii, O.I. 1975. Teor.mat.fiz. 27, 184:
Bogoyavlenskii, O.I. 1975 (Theor. Math.Phys. 27, 414).
Bogoyavlenskii, O.I. 1976a. Zh.E.T.F. 70, 361:
Bogoyavlenskii, O.I. 1976 (Sov.Phys.J.E.T.P. 43, 187).
Bogoyavlenskii, O.I. 1976b. Trudy Seminara I.G. Petrovskii, Moscow State University, 2, 67.
Bogoyavlenskii, O.I. 1977. Dokl.Akad.Nauk. 232, 189:
Bogoyavlenskii, O.I. 1977 (Sov. Phys.Dok1. 22, 78).
Bogoyavlenskii, O.I. 1980. Methods of the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics (in Russian), Nauka, Moscow.
Bogoyavlenskii, O.I. and Novikov, S.P. 1973. Zh.E.T.F. 64, 1475:
Bogoyavlenskii, O.I. and Novikov, S.P. (Sov.Phys.J.E.T.P. (1973) 37, 747).
Bogoyavlenskii, O.I. and Novikov, S.P. 1975. Trudy Seminara I.G. Petrovskii, Moscow State University 1, 7.
Bogoyavlenskii, O.I. and Novikov, S.P. 1976. Usp.Mat.Nauk. 31, 33:
Bogoyavlenskii, O.I. and Novikov, S.P. 1976. (Russian Math.Surveys 31, 31).
Borzeskowski, H.H. and Muller, V. 1978. Ann.d.Phys. 35, 361.
Chitre, D.M. 1972. Ph.D. Thesis. University of Maryland, Tech.Rpt. 72–125.
Collins, C.B. and Ellis, G.F.R. 1979. Phys.Reports 56C, 65.
Collins, C.B. and Hawking, S.W. 1973. Ap.J., 180, 317.
Criss, T.B., Matzner, R.A., Ryan, M.P., Jr. and Shepley, L.C. 1975. In General Relativity and Gravitation, ed. G. Shaviv and J. Rosen. J. Wiley and Sons, New York, and Israel Universities Press, Jerusalem.
Doroshkevich, A.G., Lukash, V.N. and Novikov, I.D. 1973. Zh.E.T.F. 64, 1457:
Doroshkevich, A.G., Lukash, V.N. and Novikov, I.D. 1973.(Sov.Phys.J.E.T.P. 37, 739).
Doroshkevich, A.G. and Novikov, I.D. 1970. Astr.Zh. 47, 948:
Doroshkevich, A.G. and Novikov, I.D. 1970.(Sov.Astr.A.J. 14, 763).
Evans, A.B. 1978. MNRAS 183, 727.
Fischer, A.E., Marsden, J.E. and Moncrief, V. 1980. In Essays in General Relativity, ed. F.J. Tipler, Academic Press, New York.
Goode, S.M. and Wainwright, J. 1982. MNRAS, 198, 83.
Goorjian, P. 1973. J.Math.Phys. 14, 986.
Grishchuk, L.P. 1967. Zh.E.T.F.Pis’ma 6, 700:
Grishchuk, L.P. 1967.(J.E.T.P. Letters 6, 184).
Grishchuk, L.P. and Ulin, V.I. 1971. Proc.State Astron.Inst. Shternberg 173, 32. (In Russian)
Grishchuk, L.P., Doroshkevich, A.G. and Lukash, V.N. 1971. Zh.E.T.F. 61, 3:
Grishchuk, L.P., Doroshkevich, A.G. and Lukash, V.N. (Sov.Phys. J.E.T.P. (1972) 34, 1).
Harvey, A.L. 1979. J.Math.Phys., 20, 251.
Hawking, S.W. and Ellis, G.F.R. 1973. The large-scale structure of space-time, Cambridge University Press, Cambridge.
Harness, R.S. 1982. J.Phys., A15, 135.
Heller, M. 1979. In Physics of the Expanding Universe, ed. M. Demianski, lecture Notes in Physics, vol. 109. Springer-Verlag, Berlin.
Jantzen, R.T. 1979. Comm.math.phys. 64, 24.
Khalatnikov, I.M. and Pokrovskii, V.L. 1970. Zh.E.T.F. 59, 1812:
Khalatnikov, I.M. and Pokrovskii, V.L. (Sov.Phys.J.E.T.P. (1971) 32, 984).
King, A.R. 1975. Phys.Rev.D, 11, 763.
Kramer, D., Stephani, H., MacCallum, M. and Herlt, E. Exact Solutions of Einstein’s Field Equations, Deutscher Verlag der Wissenschaften, Berlin, and Cambridge University Press, Cambridge.
Lifschitz, E.M. and Khalatnikov, I.M. 1963. Adv.Phys. 12,185,
Lifschitz, E.M. and Khalatnikov, I.M. 1963. (or Usp.Fiz.Nauk. 80, 391:
Lifschitz, E.M. and Khalatnikov, I.M. 1963.Sov.Phys.Usp. 6, 495)
Lifschitz, E.M., Lifschitz, I.M. and Khalatnikov, I.M. 1970. Zh.E.T.F. 59, 322:
Lifschitz, E.M., Lifschitz, I.M. and Khalatnikov, I.M. (Sov.Phys.J.E.T.P. (1971) 32, 173).
Lifschitz, E.M., Sudakov, V.V. and Khalatnikov, I.M. 1961. Zh.E.T.F. 40, 1847:
Lifschitz, E.M., Sudakov, V.V. and Khalatnikov, I.M. (Sov.Phys.J.E.T.P. 13, 1298).
MacCallum, M.A.H. 1971. Nature (Phys.Sci.) 230. 112.
MacCallum, M.A.H. 1973. In Cargese Lectures, vol. 6, ed.E. Schatzman, Gordon and Breach, New York.
MacCallum, M.A.H. 1979a. In General Relativity: an Einstein Centenary Survey, ed. S.W. Hawking and W. Israel, Cambridge University Press, Cambridge.
MacCallum, M.A.H. 1979b. In Physics of the Expanding Universe ed. M. Demianski, Lecture Notes in Physics, vol. 109, Springer-Verlag, Berlin.
Matzner, R.A. and Chitre, D.M. 1971. Comm.math.phys. 22, 173.
Miller, B. 1979. J.Math.Phys. 20, 1356.
Miller, B. 1981. J.Math.Phys. 22, 1452.
Misner, C.W. 1969. Phys.Rev. 186, 1319.
Novikov, S.P. 1972. Zh.E.T.F. 62:
Novikov, S.P. (Sov.Phys.J.E.T.P. (1973) 35, 1031).
Penrose, R. 1979. In General Relativity: an Einstein Centenary Survey, ed. S.W. Hawking and W. Israel. Cambridge University Press, Cambridge.
Peresetskii, A.A. 1976. Usp.Mat.Nauk. 31, 251.
Peresetskii, A.A. 1977. Mat.Zam. 21, 71:
Peresetskii, A.A. (Russian Math. Notes 21, 39).
Press, W.H. and Vishniac, E.T. 1980. Ap.J., 239. 1.
Ruban, V.A. 1972. Lett.Nuovo Cim. 5, 289:
Ruban, V.A. Ap. and Sp.Sci. 46, L.23 (1977).
Ryan, M.P.,Jr. 1972. Ann.Phys. (NY) 70, 301.
Ryan, M.P.,Jr. and Shepley, L.C. 1975. Homogeneous Relativistic Cosmologies, Princeton University Press, Princeton, N.J.
Sato, H. 1968. Proc.Theor.Phys. 40, 781.
Siklos, S.T.C. 1979. Oxford University preprint.
Siklos, S.T.C. 1980a. Phys.Lett.A. 76, 19.
Siklos, S.T.C. 1980b. Comm.math.phys. 58, 255.
Siklos, S.T.C. 1981. Gen.Rel.and Grav. 13, 433.
Spero, A. and Baierlein, R. 1977. J.Math.Phys. 18, 1330.
Spero, A. and Baierlein, R. 1978. J.Math.Phys. 19, 1324.
Tipler, F.J., Clarke, C.J.S. and Ellis, G.F.R. 1980. In General Relativity and Gravitation, ed. A. Held, Plenum Press, New York.
Tomita, K. 1978. Prog.Theor.Phys., 59, 1150.
Wald, R.M. and Yip, P. 1981. University of Chicago Preprint.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 D. Reidel Publishing Company
About this paper
Cite this paper
MacCallum, M.A.H. (1983). Relativistic Cosmology for Astrophysicists. In: Jones, B.J.T., Jones, J.E. (eds) The Origin and Evolution of Galaxies. Nato Advanced Study Institutes Series, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7939-0_2
Download citation
DOI: https://doi.org/10.1007/978-94-009-7939-0_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-1517-3
Online ISBN: 978-94-009-7939-0
eBook Packages: Springer Book Archive