Computation of Partially Invariant Solutions for the Einstein Walker Manifolds' Identifying Equations

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Nadjafikhah, Mehdi; Jafari, Mehdi;

In this paper, partially invariant solutions (PISs) method is applied in order to obtain new four-dimensional Einstein Walker manifolds. This method is based on subgroup classification for the symmetry group of partial differential equations (PDEs) and can be regarded a... View more
  • References (12)
    12 references, page 1 of 2

    [1] S. Lie, On integration of a class of linear partial differential equations by means of definite integrals, translation by N.H. Ibragimov, Arch Math. 6 (1881) 328-368.

    [2] G. Bluman, A.F. Cheviakov, S. Anco, Application of symmetry methods to partial differential equations, Springer, New York, 2010.

    [3] A. Kushner, V. Lychagin, V. Rubstov, Contact geometry and nonlinear differential equations, Cambridge University Press, Cambridge, 2007.

    [4] P.J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York, 1986.

    [5] L.V. Ovsiannikov, Group Analysis of Differential Equations, Academic Press. New York, 1982.

    [6] C.P. Boyer, J. D. Finley III, and J. F. Pleban´ski, Complex general relativity, h and hh spaces - a survey of one approach, Gen. Relativity Gravitation, 2 (1980) 241-281, Plenum, New York-London.

    [7] J.D. Finley III, and J. F. Pleban´ski, The intrinsic spinorial structure of hyperheavens, J. Math. Phys. 17 (1976), 2207-2214.

    [8] R. Abounasr, A. Belhaj, J. Rasmussen, and E.H. Saidi, Superstring theory on pp-waves with ADE geometries, J. Phys. A 39 (2006), 2797-2841.

    [9] J. Kerimo, AdS pp-waves, J. High Energy Phys. (2005), 025, 18 pp.

    [10] J. Michelson, and X. Wu, Dynamics of antimembranes in the maximally supersymmetric eleven-dimensional pp-wave, J. High Energy Phys. (2006), 028, 37 pp.

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