7 citations · 48 across the 18 of their papers we have counts for
18 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…
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…
Hyperheavenly spaces and their application in Walker and para-Kähler geometries: part II
Adam Chudecki
4-dimensional spaces equipped with congruences of null strings are considered. It is assumed that a space admits a congruence of expanding self-dual null strings and its self-dual…
Hyperheavenly spaces and their application in Walker and para-Kähler geometries: Part I
Adam Chudecki
Spaces equipped with congruences of null strings are considered. A special attention is paid to the spaces which belong to the two-sided Walker class and para-Kähler class. Propert…
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…
On twisting type Ricci flat complex spacetimes with two homothetic symmetries
Adam Chudecki, Maciej Przanowski
spaces of type with twisting congruence of null geodesics defined by the 4-fold undotted and dotted Penrose spinors are investiga…
Classification of the traceless Ricci tensor in 4-dimensional pseudo-Riemannian spaces of neutral signature
Adam Chudecki
The traceless Ricci tensor in 4-dimensional pseudo-Riemannian spaces equipped with the metric of the neutral signature is analyzed. Its algebraic classification is given.…
On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces
Adam Chudecki
4-dimensional spaces equipped with 2-dimensional (complex holomorphic or real smooth) completely integrable distributions are considered. The integral manifolds of such distributio…
On some examples of para-Hermite and para-Kähler Einstein spaces with
Adam Chudecki
Spaces equipped with two complementary (distinct) congruences of self-dual null strings and at least one congruence of anti-self-dual null strings are considered. It is shown that…
Proper conformal symmetries in SD Einstein spaces
Adam Chudecki, Michal Dobrski
Proper conformal symmetries in self-dual (SD) Einstein spaces are considered. It is shown, that such symmetries are admitted only by the Einstein spaces of the type [N]x[N]. Spaces…
All ASD complex and real 4-dimensional Einstein spaces with admitting a nonnull Killing vector
Adam Chudecki
Anti-self-dual (ASD) 4-dimensional complex Einstein spaces with nonzero cosmological constant equipped with a nonnul Killing vector are considered. It is shown, that any confor…
Null Killing vectors and geometry of null strings in Einstein spaces
Adam Chudecki
Einstein complex spacetimes admitting null Killing or null homothetic Killing vectors are studied. These vectors define totally null and geodesic 2-surfaces called the null strings…
Killing Symmetries in -Spaces with
Adam Chudecki, Maciej Przanowski
All Killing symmetries in complex -spaces with in terms of the Plebański - Robinson - Finley coordinate system are found. All -metrics with admitt…
Classification of the Killing Vectors in Nonexpanding HH-Spaces with Lambda
Adam Chudecki
Conformal Killing equations and their integrability conditions for nonexpanding hyperheavenly spaces with Lambda are studied. Reduction of ten Killing equations to one master equat…
Homothetic Killing Vectors in Expanding HH-Spaces with Lambda
Adam Chudecki
Conformal Killing equations and their integrability conditions for expanding hyperheavenly spaces with Lambda in spinorial formalism are studied. It is shown that any conformal Kil…