DUALITY AND SELF-DUAL TRIPLET SOLUTIONS IN EUCLIDEAN GRAVITY
نویسندگان
چکیده
منابع مشابه
Self-Dual Solutions to Euclidean Gravity
The discovery of self-dual instanton solutions in Euclidean Yang-Mills theory [I] has recently stimulated a great deal of interest in self-dual solutions to Einstein’s theory of gravitation. One would expect that the relevant instanton-like metrics would be those whose gravitational fields are self-dual, localized in Euclidean spacetime and free of singularities. In fact, solutions have been fo...
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The discovery of pseudoparticle solutions to the euclidean SU(2) Yang-Mills theory [1 ] has suggested the possibility that analogous solutions might occur in Einstein's theory of gravitation. The existence of such solutions would have a profound effect on the quantum theory of gravitation [2,3]. Since fire Yang-Mills pseudoparticles possess self-dual field strengths, one likely possibility is t...
متن کاملSelf - Duality in D ≤ 8 - dimensional Euclidean Gravity
In the context of D-dimensional Euclidean gravity, we define the natural generalisation to D-dimensions of the self-dual Yang-Mills equations, as duality conditions on the curvature 2-form of a Rie-mannian manifold. Solutions to these self-duality equations are provided by manifolds of SU (2), SU (3), G 2 and Spin(7) holonomy. The equations in eight dimensions are a master set for those in lowe...
متن کاملSelf - Duality in D ≤ 8 - dimensional Euclidean Gravity
In the context of D-dimensional Euclidean gravity, we define the natural generalisation to D-dimensions of the self-dual Yang-Mills equations, as duality conditions on the curvature 2-form of a Rie-mannian manifold. Solutions to these self-duality equations are provided by manifolds of SU (2), SU (3), G 2 and Spin(7) holonomy. The equations in eight dimensions are a master set for those in lowe...
متن کاملSolutions in self-dual gravity constructed via chiral equations.
The chiral model for self-dual gravity given by Husain in the context of the chiral equations approach is discussed. A Lie algebra corresponding to a finite dimensional subgroup of the group of symplectic diffeomorphisms is found, and then use for expanding the Lie algebra valued connections associated with the chiral model. The self-dual metric can be explicitly given in terms of harmonic maps...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1996
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732396002678