Abstract
The main purpose of this work is to discuss a non-local approach to the general theory of relativity. A side benefit is that this approach is applicable to Maxwell and Yang-Mills fields on both flat as well as asymptotically flat space times.
A. von Humbt fellow.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
For a precise definition of an asymptotically flat space-time, see for example: — R. Penrose in Battelle Rencontres, ed. C. M. DeWitt and J. A. Wheeler, Benjamin, New York (1967).
R. Geroch, in: Asymptotic Structure of Space Time, ed. F. P. Esposito and L. Witten, Plenum Press, New York (1977).
A. Ashtekar and R. O. Hansen, J. Math. Phys., 19, 1542 (1978).
H. Bondi et al., Proc. Roy. Soc. Lond. A 269, 21 (1962).
R. Penrose and M. A. H. MacCallum, Phys. Rep., 6C, 242 (1973).
R. Penrose, in: Quantum Gravity, ed. C. J. Isham, R. Penrose and D. W. Sciama, Clarendon Press, Oxford (1975).
R. Penrose and R. S. Ward, in: General Relativity and Gravitation, Vol. 2, ed. A. Held, Plenum Press, New York (1980).
C. N. Kozameh and E. T. Newman, J. Math. Phys., 24, 2481 (1983).
R. K. Sachs, Proc. Roy. Soc. Lond., A 270, 103 (1962).
R. Penrose, in: Perspectives in Geometry and Relativity, ed. B. Hoffman, Indiana Univ. Press, Bloomington (1966).
Y. Aharonov and D. Bohm, Phys. Rev., 115, 485 (1959).
T. T. Wu and C. N. Yang, Phys. Rev., D12, 3843 (1975).
T. T. Wu and C. N. Yang, Phys. Rev., D12, 3845 (1975).
C. N. Yang, Phys. Rev. Lett., 33, 445 (1974).
C. N. Kozameh and E. T. Newman, Phys. Rev., D31 (1985).
The components of ℓ a are the spherical harmonics Y00, Y1i for i = 1, 0, -1.
E. T. Newman and R. Penrose, J. Math. Phys., 7, 863 (1966).
E. T. Newman and K. P. Tod, in: Asymptotic Structure of Space-Time, ed. F. P. Esposito and L. Witten, Plenum Press, New York (1977).
This is a well known result, though we do not know an original reference for it. See Ref. 4.
E. T. Newman, Phys. Rev., D8, 2901 (1978).
G. Sparling, University of Pittsburgh Report.
E. T. Newman, Phys. Rev., D22, 3023 (1980).
Unpublished work of E. Hsieh, S. Kent, E. T. Newman.
E. T. Newman et al., Phys. Rep., 71, 53 (1981).
A standard approach to asymptotically flat self-dual Einstein spaces (or H-spaces) is via regular solutions of the “good-cut” equation.
M. Iyanaga, J. Math. Phys., 22, 2713 (1981).
R. Penrose and W. Rindler, Spinors and Space-time, Cambridge University Press, Cambridge (1984).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kozameh, C.N., Newman, E.T. (1986). A Non-Local Approach to the Vacuum Maxwell, Yang-Mills, and Einstein Equations. In: Bergmann, P.G., De Sabbata, V. (eds) Topological Properties and Global Structure of Space-Time. NATO ASI Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3626-4_11
Download citation
DOI: https://doi.org/10.1007/978-1-4899-3626-4_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-3628-8
Online ISBN: 978-1-4899-3626-4
eBook Packages: Springer Book Archive