Filtry
Hermitian vector fields and special phase functions
of special phase functions and show that the Lie algebra of Hermitian vector fields turns out to be naturally isomorphic to the Lie algebra of special phase functionsWe start by analysing the Lie algebra ...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Extended Kerr–Schild spacetimes
We study geometric and algebraic properties of extended Kerr–Schild spacetimes. In contrast to the KS case, it turns out that xKS spacetimes with a geodetic KS vector are not necessarily algebraically special
Applied mathematics
- 2017 •
- D •
- Odkaz
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Quantum operators and Hermitian vector fields
for the Hermitian connection. Then, we can prove that the Lie algebra of Hermitian vector fields turns out to be naturally isomorphic to the Lie algebra of special phase functions.We classify the Lie algebra of He...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Curvature Invariants in Algebraically Special Spacetimes.
It is well known that all curvature invariants of the order zero vanish for type-III and type-N vacuum spacetimes. We briefly summarize properties of higherorder curvature invariants for these spacetimes....
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Differential invariants of Kundt spacetimes
We find generators for the algebra of rational differential invariants for general and degenerate Kundt spacetimes and relate this to other approaches to the equivalence problem for Lorentzian metrics. Special attention is ...
Pure mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On asymptotically flat algebraically special spacetimes in higher dimensions
Asymptotic properties of higher-dimensional asymptotically flat vacuum spacetimes admitting a ?non-degenerate geodetic multiple WAND are analyzed. Behaviour of the Weyl tensor is determined as null infinity is approached along the multiple W...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
On higher dimensional Einstein spacetimes with a warped extra dimension
spacetime, which in some cases can be algebraically more special. Possible spacetimeWe study a class of higher dimensional warped Einstein spacetimes with one spacetimes that can be mapped confor...
BA - Obecná matematika
- 2011 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
to be algebraically special with respect to them. We finally explain the generalization theorem tofive dimensions. To be precise, we find a new algebraic condition that it ensures the existence of such congruences on a fiv...
BA - Obecná matematika
- 2011 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Bianchi indentities in higher dimensions
A higher dimensional frame formalism is developed in order to study implications of the Bianchi identities for the Weyl tensor in vacuum spacetimes of the algebraic types III and N in arbitrary dimension n. It follows that the princ...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Extended Kerr-Schild spacetimes of any dimension
We study geometric and algebraic properties of extended Kerr-Schild spacetimes to the KS case, it turns out that xKS spacetimes with a geodetic KS vector are not necessarily algebraically special and we ob...
BA - Obecná matematika
- 2015 •
- D •
- Odkaz
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
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