The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spacetimes in higher dimensions. Attempts to generalize the Goldberg-Sachs theorem are also discussed. There is a summary of main results for optical matrices of algebraically special spacetimes in higher dimensions. The optical matrix for a type III spacetime in six dimensions is found using Bianchi identities. A few properties of type III optical matrices in a general dimension are also found. Various properties of equations obtained from Bianchi identities for type III spacetimes are studied in appendices.
A new class of higher-dimensional exact solutions of Einstein’s vacuum equation is presented. These ...
The Weyl tensor and the Ricci tensor can be algebraically classified in a Lorentzian spacetime of ar...
We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to...
The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spaceti...
This PhD thesis contains a collection of work related to the algebraic classification of spacetimes ...
In this thesis I show known solutions of Einstein's equations and I am trying to find if some of the...
In the present work, we study some aspects of Einstein's theory of gravitation in general spacetimes...
vii Title: General relativity in higher dimensions Author: Tomáš Málek Institute: Institute of Theor...
Recently, models of spacetime with extra dimensions has driven interest into higher dimensional blac...
This is an author-created, un-copyedited version of an article accepted for publication in Classical...
The idea that the spacetime may have more than four dimensions is very old. Starting with works of K...
We study several aspects of higher-order gravities constructed from general contractions of the Riem...
We present the explicit form of higher dimensional VSI spacetimes in arbitrary number of dimensions....
We review the formalism used for the algebraic classification of higher- dimensional spacetimes, to...
In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle ...
A new class of higher-dimensional exact solutions of Einstein’s vacuum equation is presented. These ...
The Weyl tensor and the Ricci tensor can be algebraically classified in a Lorentzian spacetime of ar...
We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to...
The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spaceti...
This PhD thesis contains a collection of work related to the algebraic classification of spacetimes ...
In this thesis I show known solutions of Einstein's equations and I am trying to find if some of the...
In the present work, we study some aspects of Einstein's theory of gravitation in general spacetimes...
vii Title: General relativity in higher dimensions Author: Tomáš Málek Institute: Institute of Theor...
Recently, models of spacetime with extra dimensions has driven interest into higher dimensional blac...
This is an author-created, un-copyedited version of an article accepted for publication in Classical...
The idea that the spacetime may have more than four dimensions is very old. Starting with works of K...
We study several aspects of higher-order gravities constructed from general contractions of the Riem...
We present the explicit form of higher dimensional VSI spacetimes in arbitrary number of dimensions....
We review the formalism used for the algebraic classification of higher- dimensional spacetimes, to...
In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle ...
A new class of higher-dimensional exact solutions of Einstein’s vacuum equation is presented. These ...
The Weyl tensor and the Ricci tensor can be algebraically classified in a Lorentzian spacetime of ar...
We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to...
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