Publications on Harmonic Maps and Chiral Equations
(non-linear Sigma Models)

04. Tonatiuh Matos. SL (3,R) Representation of Invariance Transformations in Five-dimensional Gravity. Phys. Lett A131, (1988), 423-426.

05. Tonatiuh Matos. Subspaces and Subgroups in Five-dimensional Gravity. Ann. Phys. (Leipzig) 46, (1989), 462-472.

06. Tonatiuh Matos. Ecuaciones de Chiral en Teorias de Gravitación. Rev. Mex. Fís. 35, (1989), 208-221.

12. Dietrich Kramer, Gernot Neugebauer and Tonatiuh Matos. Bäcklund Transforms of Chiral Fields. J. Math. Phys. 32, (1991), 2727-2730.

13. Tonatiuh Matos y Ricardo Becerril. Ecuaciones Quirales y Haces Fibrados. Rev. Mex. Fís. 38, (1992), 69-80.

17. Tonatiuh Matos, Guadalupe Rodríguez and Ricardo Becerril. Exact Solutions of SL(N,R) -invariant Chiral Fields. One-and Two - dimensional Subspaces. J. Math. Phys. 33, (1992), 3521-3535.

19. Tonatiuh Matos and Petra Wiederhold. SL (4,R)-invariant Chiral Fields. Lett. Math. Phys. 27, (1993), 265-272.

21. Tonatiuh Matos. 5D Axisymmetric Stationary Solutions as Harmonic Maps. J. Math. Phys. 35, (1994), 1302-1321. Available at: gr-qc /9401009

23. Tonatiuh Matos and Jerzy Plebanski. Axisymmetric Stationary Solutions as Harmonic Maps. Gen. Rel. Grav. 26, (1994), 477-498. Available at: gr-qc /9402044

26. Tonatiuh Matos. Exact Solutions of G-invariant Chiral Equations. Math. Notes, 58, (1995), 1178-1182. Available at: hep-th /9405082.

29. Tonatiuh Matos and Hugo Garcia-Compean. Solutions in Self-Dual Gravity Constructed Via Chiral Equations. Phys. Rev. D52, (1995), 4425-4429. Available at: hep-th /9409135.

39. Tonatiuh Matos and Maribel Rios. The Harmonic Map Ansatz in Gravitational Theories. Gen. Rel. Grav. 31, (1999). 693-700.

40. Tonatiuh Matos, Ulises Nucamendi and Petra Wiederhold. SU(N)- and SO(N)-Invariant Chiral Fields. One- and Two-Dimensional Subspaces. J. Math. Phys. 40, (1999), 2500-2513.

46. Tonatiuh Matos, Darío Nuñez, Gabino Estevez and Maribel Rios. Rotating 5D-Kaluza-Klein Space-Times from Invariant Trasformations. Gen. Rel. Grav., 32, (2000), 1499-1525. Available at: gr-qc /0001039

50. Tonatiuh Matos, Darío Núñez and Maribel Rios. Class of Einstein-Maxwell Dilatons, an Ansatz for new Families of Rotating Solutions. Class. Quant. Grav. 17, (2000), 3917 - 3933. Available at: gr-qc /0008068

87. Tonatiuh Matos, Galaxia Miranda, Ruben Sánchez-Sánchez and Petra Wiederhold. Class of Einstein-Maxell-Dilaton-Axion Space-times. Phys. Rev. D79, (2009), 124016. Available at: arXiv: 0905.4097

90. Tonatiuh Matos. Class of Einstein-Maxwell phantom Fields: Rotating and Magnetized Wormholes. Gen. Rel. Grav., 42, (2010), 1969. Available at: arXiv:0902.4439.


Chapters in Books

1. Tonatiuh Matos. Harmonic Maps in Dilaton Gravity. In Field Theory, Integrable Systems and Symmetries by Faqir Khanna and Luc Vinet, Ed. Centre de Recherches Matháematiques, (1997), p. 166-173.


  1. Tonatiuh Matos. Chiral Equations in Gravitational Theories. In Proceedings of the International Conference on Aspects of General Relativity and Mathematical Physics, Mexico DF. Ed. by N. Breton, R. Capovilla y T. Matos. Ediciones CINVESTAV (1994), p.176-184.
  2. Nora Breton and Tonatiuh Matos. Colliding Plane Gravitational Waves as Harmonic Maps. In Proceedings of SILARG VIII, Aguas de Lindoia, Brazil. Ed. by P. S. Letelier and W. A. Rodrigues Jr., Word Scientific Singapore, (1994), p 577-581.