Algebraic classification of the Weyl tensor: selected applications

Pravda, Vojtěch. "Algebraic classification of the Weyl tensor: selected applications." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 214-223. <http://eudml.org/doc/287814>.

@inProceedings{Pravda2012,
abstract = {Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity.},
author = {Pravda, Vojtěch},
booktitle = {Applications of Mathematics 2012},
keywords = {Lorentzian geometry; Newman-Penrose; Geroch-Held-Penrose; Weyl tensor; polynomial invariants; algebraically special spacetimes; quadratic gravity},
location = {Prague},
pages = {214-223},
publisher = {Institute of Mathematics AS CR},
title = {Algebraic classification of the Weyl tensor: selected applications},
url = {http://eudml.org/doc/287814},
year = {2012},
}

TY - CLSWK
AU - Pravda, Vojtěch
TI - Algebraic classification of the Weyl tensor: selected applications
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 214
EP - 223
AB - Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity.
KW - Lorentzian geometry; Newman-Penrose; Geroch-Held-Penrose; Weyl tensor; polynomial invariants; algebraically special spacetimes; quadratic gravity
UR - http://eudml.org/doc/287814
ER -