Maxwell fields on asymptotically simple space-times

Carlos Kozameh; Omar Ortiz; Ezra Newman

doi:10.1103/PhysRevD.42.503

Access by Xinjiang University

Maxwell fields on asymptotically simple space-times

Carlos Kozameh and Omar Ortiz

Ezra Newman

Facultad de Matematica Astronomia y Fisica, Universidad Nacional de Cordoba, Laprida 854, 5000 Cordoba, Argentina

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

PDF

Phys. Rev. D 42, 503 – Published 15 July, 1990

DOI: https://doi.org/10.1103/PhysRevD.42.503

Abstract

A generalization of the flat-space d'Adhemar formulation of Maxwell theory to asymptotically simple space-times is presented. The essential new ideas in this approach are the introduction of a nonlocal variable (the holonomy operator) for Maxwell theory used in conjunction with a nonlocal, conformally invariant, description of the background geometry of space-time. The field equations for this new variable are derived and an explicit relationship (in a perturbative sense) between the free data at $J$ and the field at an interior point is given. The possible applications of this method to scattering theory and to the Einstein equations are discussed.

References (13)

R. Courant and D. Hilbert, Methods of Mathematical Physics (Wiley Interscience, New York, 1962), Vol. II
G. Friedlander, The Wave Equation on a Curved Space-Time (Cambridge University Press, Cambridge, England, 1976)
C. N. Kozameh and E. T. Newman, in J. Math. Phys. 24, 2481 (1983)
C. Cutler, C. N. Kozameh, and E. T. Newman, Advances in Twistor Theory, edited by R. Baston and M. Singer (Cambridge University Press, Cambridge, England, 1990)
R. Penrose and W. Rindler, Spinors and Space-Time (Cambridge University Press, Cambridge, England, 1986), Vol. II
C. N. Kozameh and E. T. Newman, in Asymptotic Behavior of Mass and Space-Time Geometry, edited by F. J. Flaherty (Lecture Notes in Physics 202) (Springer, Berlin, 1984)
C. N. Kozameh and E. T. Newman, in Topological Properties and Global Structure of Space-Time, proceedings of the NATO Advanced Study Institute, Erice, Italy, 1985, edited by V. de Sabbata and P. Bergmann (NATO ASI Series B: Physics, Vol. 138) (Plenum, New York, 1986)
E. T. Newman et al., Phys. Rep. 71, 53 (1981)
A. Exton, E. Newman, and R. Penrose, J. Math. Phys. 10, 1566 (1969)
C. N. Kozameh and E. T. Newman, Twistor Newsletters 24, 22 (1986)
J. A. Frieman, Phys. Rev. D 39, 389 (1989)
A. Ashtekar, Notes in Quantum Gravity (Bibliopolis, Naples, 1986)
S. L. Kent and E. T. Newman, J. Math. Phys. 24, 949 (1983)

[c1] R. Courant and D. Hilbert, Methods of Mathematical Physics (Wiley Interscience, New York, 1962), Vol. II

[c2] G. Friedlander, The Wave Equation on a Curved Space-Time (Cambridge University Press, Cambridge, England, 1976)

[c3] C. N. Kozameh and E. T. Newman, in J. Math. Phys. 24, 2481 (1983)

[c4] C. Cutler, C. N. Kozameh, and E. T. Newman, Advances in Twistor Theory, edited by R. Baston and M. Singer (Cambridge University Press, Cambridge, England, 1990)

[c5] R. Penrose and W. Rindler, Spinors and Space-Time (Cambridge University Press, Cambridge, England, 1986), Vol. II

[c6] C. N. Kozameh and E. T. Newman, in Asymptotic Behavior of Mass and Space-Time Geometry, edited by F. J. Flaherty (Lecture Notes in Physics 202) (Springer, Berlin, 1984)

[c7] C. N. Kozameh and E. T. Newman, in Topological Properties and Global Structure of Space-Time, proceedings of the NATO Advanced Study Institute, Erice, Italy, 1985, edited by V. de Sabbata and P. Bergmann (NATO ASI Series B: Physics, Vol. 138) (Plenum, New York, 1986)

[c8] E. T. Newman et al., Phys. Rep. 71, 53 (1981)

[c9] A. Exton, E. Newman, and R. Penrose, J. Math. Phys. 10, 1566 (1969)

[c10] C. N. Kozameh and E. T. Newman, Twistor Newsletters 24, 22 (1986)

[c11] J. A. Frieman, Phys. Rev. D 39, 389 (1989)

[c12] A. Ashtekar, Notes in Quantum Gravity (Bibliopolis, Naples, 1986)

[c13] S. L. Kent and E. T. Newman, J. Math. Phys. 24, 949 (1983)

Physical Review D

Export citation

Export citation

Maxwell fields on asymptotically simple space-times

Abstract

References (13)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation