Null surfaces formulation in three dimensions

Journal of Mathematical Physics

Volumn 41, Issue 8, 2000, Pages 5517-5534

  Forni, Diego M ^a   Iriondo, Mirta ^a,b   Kozameh, Carlos N ^a  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

^b Universidad Nacional de Villa Maria   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034336582     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533422     Document Type: Article

References (18)

1. S. Frittelli, C. N. Kozameh, and E. T. Newman, "Lorentzian metrics from characteristic surfaces," J. Math. Phys. 36, 4975 (1995).
2. S. Frittelli, C. N. Kozameh, and E. T. Newman, "GR via characteristic surfaces," J. Math. Phys. 36, 4984 (1995).
3. S. Frittelli, C. N. Kozameh, and E. T. Newman, "Linearized Einstein theory via null surfaces," J. Math. Phys. 36, 5005 (1995).
4. M. Iriondo, C. N. Kozameh, and A. Rojas, "Null surfaces and the Bach equations," J. Math. Phys. 38, 4714 (1997).
5. A. Ashtekar, J. Bicák, and B. G. Schmidt, "Asymptotic structure of symmetry-reduced general relativity," Phys. Rev. D 55, 669 (1997).
6. S. Frittelli, C. N. Kozameh, E. T. Newman, C. Rovelli, and R. S. Tate, "On the quantization of the null-surface formulation of GR," Phys. Rev. D 56, 889-907 (1997).
7. E. Dominguez and M. H. Tiglio, "Large quantum gravity effects and non local variables," Phys. Rev. D 60, 4 (1999).
8. A. Ashtekar, "Large quantum gravity effects," Phys. Rev. Lett. 77, 4864 (1996).
9. E. Cartan, "Les espaces généralisés e l'intégration de certaines classes d'équations différentielles," Acad. Sci., Paris, 1689-1693 (1938).
10. S. Chern, "The geometry of the differential equation y‴ = F(x,y,y′,y″)," Collected work 1, 385-438 (1899).
11. M. Tanimoto, "On the null surface formulation-Formulation in three dimension and gauge freedom," gr-qc/9703003.
12. E. Cotton, "Sur les variétés à trois dimensions," Ann. Fac. Sci. Univ. Toulouse Sci. Math. Sci. Phys. 1, 385-438 (1899).
13. S. Frittelli, E. T. Newman, and G. Silva-Ortigoza, "The eikonal equation in flat space: Null surfaces and their singularities. I," J. Math. Phys. 40, 383 (1999).
14. C. N. Kozameh and E. T. Newman, "Theory of light cone cuts of null infinity," J. Math. Phys. 24, 2481 (1983).
15. S. Deser, R. Jackiw, and G. 't Hooft, Ann. Phys. (N.Y.) 152, 220 (1984).
16. R. J. Gleiser and M. H. Tiglio, "On exotic spacetimes, superconducting strings with linear momentum, and (not quite) all that," Phys. Rev. D 61, 104006 (2000).
17. V. I. Arnold and S. P. Novikov, Dynamical Systems (Springer, Berlin, 1992), Vol. IV.
18. C. N. Kozameh, E. T. Newman, and K. P. Tod, "Conformal Einstein spaces," Gen. Relativ. Gravit. 17, 4 (1985).