5 papers
An example of algebraically general para-Kähler Einstein space
Adam Chudecki, Michał 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 subalgeb…
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…
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…
Two-sided conformally recurrent self-dual spaces
Adam Chudecki
Two-sided conformally recurrent 4-dimensional self-dual spaces are considered. It is shown that such spaces are equipped with nonexpanding congruences of null strings. The general…
Classification of complex and real, vacuum spaces of the type
Adam Chudecki
Complex and real, vacuum spaces with both self-dual and anti-self-dual parts of the Weyl tensor being of the type [N] are considered. Such spaces are classified according to two cr…