publication . Preprint . Article . 2014

Computation of partially invariant solutions for the Einstein Walker manifolds’ identifying equations

Mehdi Nadjafikhah; Mehdi Jafari;
Open Access English
  • Published: 31 Jul 2014
Abstract
Comment: 8 pages
Subjects
free text keywords: Mathematics - Differential Geometry, Modelling and Simulation, Applied Mathematics, Numerical Analysis, Manifold, Partial differential equation, Computation, Einstein, symbols.namesake, symbols, Symmetry group, Invariant (mathematics), Mathematics, Mathematical analysis
Related Organizations

[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.

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[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. [OpenAIRE]

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

[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.

[11] V. Pravda, A. Pravdova, A. Coley, and R. Milson, All spacetimes with vanishing curvature invariants, Classical Quantum Gravity 19 (2002), 6213-6236. [OpenAIRE]

[12] Th. Leistner, Screen bundles of Lorentzian manifolds and some generalizations of pp-waves, J. Geom. Phys. 56 (2006), 2117-2134.

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publication . Preprint . Article . 2014

Computation of partially invariant solutions for the Einstein Walker manifolds’ identifying equations

Mehdi Nadjafikhah; Mehdi Jafari;