We explore connections between geometrical properties of null congruences and the algebraic structure of the Weyl tensor in n>4 spacetime dimensions. First, we present the full set of Ricci identities on a suitable ``null'' frame, thus completing the extension of the Newman-Penrose formalism to higher dimensions. Then we specialize to geodetic null congruences and study specific consequences of the Sachs equations. These imply, for example, that Kundt spacetimes are of type II or more special (like for n=4) and that for odd n a twisting geodetic WAND must also be shearing (in contrast to the case n=4)
A peeling theorem for the Weyl tensor in higher dimensional Lorentzian manifolds is presented. We ob...
In this thesis I show known solutions of Einstein's equations and I am trying to find if some of the...
The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spaceti...
This thesis considers various aspects of general relativity in more than four spacetime dimensions. ...
We present the complete family of higher dimensional spacetimes that admit a geodesic, shearfree, tw...
We present the explicit metric forms for higher dimensional vanishing scalar invariant (VSI) Lorentz...
We refine the null alignment classification of the Weyl tensor of a five-dimensional spacetime. The ...
summary:Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summar...
In the thesis, we set out to study a certain class of algebraically special spacetimes in arbitrary ...
We study an even-dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and a...
Ricci and contracted Ricci collineations of the Bianchi type II, VIII, and IX space-times, associate...
A new branch of black hole solutions occurs along with the standard Schwarzschild branch in n-dimens...
vii Title: General relativity in higher dimensions Author: Tomáš Málek Institute: Institute of Theor...
We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic ...
AbstractWe study solutions to the eleven-dimensional supergravity action, including terms quartic an...
A peeling theorem for the Weyl tensor in higher dimensional Lorentzian manifolds is presented. We ob...
In this thesis I show known solutions of Einstein's equations and I am trying to find if some of the...
The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spaceti...
This thesis considers various aspects of general relativity in more than four spacetime dimensions. ...
We present the complete family of higher dimensional spacetimes that admit a geodesic, shearfree, tw...
We present the explicit metric forms for higher dimensional vanishing scalar invariant (VSI) Lorentz...
We refine the null alignment classification of the Weyl tensor of a five-dimensional spacetime. The ...
summary:Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summar...
In the thesis, we set out to study a certain class of algebraically special spacetimes in arbitrary ...
We study an even-dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and a...
Ricci and contracted Ricci collineations of the Bianchi type II, VIII, and IX space-times, associate...
A new branch of black hole solutions occurs along with the standard Schwarzschild branch in n-dimens...
vii Title: General relativity in higher dimensions Author: Tomáš Málek Institute: Institute of Theor...
We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic ...
AbstractWe study solutions to the eleven-dimensional supergravity action, including terms quartic an...
A peeling theorem for the Weyl tensor in higher dimensional Lorentzian manifolds is presented. We ob...
In this thesis I show known solutions of Einstein's equations and I am trying to find if some of the...
The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spaceti...