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On the algebraic classification of spacetimes
We briefly overview the Petrov classification in four dimensions and its generalization to higher dimensions.
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Classification of the Weyl tensor in higher dimensions and its applications
The algebraic classification of the Weyl tensor in higher dimensions is a natural generalization of the Petrov classification in four dimensions. We overview basic properties of the classification and discuss vario...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Distorted Killing Horizons and Algebraic Classification of Curvature Tensors
We study bahaviour of curvature tensors in static spacetimes in the vicinity of Killing horizon...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Alignment and algebraically special tensors in Lorentzian geometry
We develop a dimension-independent theory of alignment in Lorentzian geometry, and apply it to the tensor classification problem for the Weyl and Ricci tensors. First, this recovers the usual Petrov types. For higher dimensions, we ...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Algebraic classification of the Weyl tensor
Alignment classi?cation of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classi?cation scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known P...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Wands of the Black Ring
Necessary conditions for various algebraic types of the Weyl tensor are determined. These conditions are then used to find Weyl aligned null directions for the black ring solution. It is shown that the black ring solution is algebraically special, of...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
?Brno Stínadla? Quarter. Historical topography of Petrov Hill and the history of the house at Petrov no. 275/1
This paper presents the existing information about the history of the house at Petrov 275/1 and the historical topography of Petrov Hill. Apart from mentions of the house in written sources and literature and its depictions in histo...
AC - Archeologie, antropologie, etnologie
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Petrov
The chapter presents art monuments of Petrov in the form of topographic narrative. It is dedicated to St. Peter and Paul cathedral, the environs of the cathedral, bishop´s palace, capitular deanery, episcopal consistory, canons´ houses and D...
AL - Umění, architektura, kulturní dědictví
- 2015 •
- C
Rok uplatnění
C - Kapitola v odborné knize
The Former Canonry House at Petrov no. 4, Brno
This article discusses the former canonry house at Petrov no. 4 in Brno from the perspective of the history of the settlement of the site and the individual building phases of the house. It also outlines the development of research into the ...
AC - Archeologie, antropologie, etnologie
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
A Class of Solvable Lie Algebras and their Casimir Invariants
in the Petrov classification of Einstein spaces. For larger values of n they can be used in a more general classification of Riemannian manifolds....
BE - Teoretická fyzika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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