9 papers
Exact Static Solutions for Scalar Fields Coupled to Gravity in -Dimensions
Ayse H. Bilge, Durmus Daghan
Einstein's field equations for a spherically symmetric metric coupled to a massless scalar field are reduced to a system effectively of second order in time, in terms of the variab…
On the Classification of Scalar Non-Polynomial Evolution Equations: Quasilinearity
Ayse Humeyra Bilge
We prove that, for , scalar evolution equations of the form which admit a nontrivial conserved density of order are linear in . The existe…
Canonical bases for real representations of Clifford algebras
Ayse H. Bilge, Sahin Kocak, Selman Uguz
The well-known classification of the Clifford algebras leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderbu…
A System with a Recursion Operator but One Higher Local Symmetry of the Form
Ayse Humeyra Bilge
We construct a recursion operator for the system , for which only one local symmetry is known and we show that the action of the recursion operator on…
Miura Transformations for Integrable Evolution Equations of the Form
Ayse Humeyra Bilge, Fatma Ozdemir
The paper is withdrawn due to an error in Section 3.2. The remaining of the results are included in the preprint solv-int/9605004.
The Geometry of Self-Dual Gauge Fields
A. H. Bilge, T. Dereli, Ş. Koçak
Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-fo…