4 papers
An example of algebraically general para-Kähler Einstein space
Adam Chudecki, MichaÅ Dobrski
Algebraically general para-Kähler Einstein spaces equipped with 3D algebras of infinitesimal symmetries are considered. It is shown that if the algebra contains 2D trivial subalge…
On a certain class of para-Hermite Einstein spaces
Adam Chudecki
A special class of (complex) para-Hermite Einstein spaces is analyzed. It is well-known that the self-dual Weyl tensor in para-Hermite Einstein spaces is of the Petrov-Penrose type…
On Walker and para-Hermite Einstein spaces
Adam Chudecki
A special class of (complex) para-Hermite Einstein spaces is analyzed. For this class of spaces the self-dual Weyl tensor is type-[D] in the Petrov-Penrose classification. The anti…
Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity
Adam Chudecki, Maciej Przanowski
Tensorial, spinorial and helicity formalisms of the curvature and conformal curvature dynamics are developed. Equations of linearized gravity within that formalisms are given. Grav…