The Eikonal equation in asymptotically flat space-times

Journal of Mathematical Physics

Volumn 40, Issue 2, 1999, Pages 1041-1056

  Frittelli, Simonetta ^a,b   Newman, Ezra T ^b   Silva Ortigoza, Gilberto ^b,c  

^a DUQUESNE UNIVERSITY   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

^c BENEMÉRITA UNIVERSIDAD AUTÓNOMA DE PUEBLA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033482866     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532705     Document Type: Article

References (12)

1. S. Frittelli, E. T. Newman, and G. Silva-Ortigoza, "The Eikonal Equation in Flat Space: Null Surfaces and Their Singularities. I" (submitted).
2. V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko, Singularities of Differentiable Maps (Birkhauser, Boston, 1985), Vol. I.
3. V. I. Arnold, Catastrophe Theory (Springer, Berlin, 1986).
4. S. Frittelli, C. Kozameh, and E. Newman, J. Math. Phys. 36, 4984 (1995).
5. S. Frittelli, C. Kozameh, and E. Newman, J. Math. Phys. 36, 6397 (1995).
6. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, Berlin, 1980).
7. Dynamical Systems, edited by V. I. Arnold and S. P. Novikov (Springer, Berlin, 1990), Vol. IV.
8. See the section on Hamilton-Jacobi Theory, in L. Landau and Lifschitz, Classical Mechanics (Pergamon, Headington Hill Hall, Oxford, 1960).
9. S. Frittelli, C. Kozameh, and E. Newman, Phys. Rev. D 56, 4729 (1997).
10. S. Hawking and G. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973).
11. C. Kozameh and E. Newman, A Nonlocal Approach to the Vacuum Maxwell, Yang-Mills and Einstein Equations, in Topological Properties and Global Structure of Space-Time, edited by P. Bergmann and V. de Sabbata (Plenum, New York, 1986).
12. R. Penrose, in Perspectives in Geometry and Relativity, edited by B. Hoffman (Indiana University Press, Bloomington, 1966).