Twisting, type-Nvacuum gravitational fields with symmetries | Zendy

F. J. Chinea | Zendy

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Twisting, type-Nvacuum gravitational fields with symmetries

Author(s) -

F. J. Chinea

Publication year - 1988

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.37.3080

Subject(s) - homogeneous space , type (biology) , linearization , ordinary differential equation , mathematical physics , physics , function (biology) , differential equation , partial differential equation , legendre polynomials , field (mathematics) , mathematical analysis , nonlinear system , pure mathematics , mathematics , quantum mechanics , geometry , ecology , biology , evolutionary biology

The Einstein field equations for twisting, type-N fields in empty space possessing two noncommuting Killing vectors are reduced to a single second-order ordinary differential equation for a complex function. Alternative forms of this basic equation are also presented; in particular, an appropriate Legendre transform provides a partial linearization, leading to a single real, nonlinear, third-order ordinary differential equation

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