Algebraic aspects of general non-twisting and shear-free spacetimes

Conference paper

Algebraic aspects of general non-twisting and shear-free spacetimes

Švarc, R; Podolský, J.

Abstract

The algebraic structure, given by a null alignment of the Weyl tensor, of expanding
Robinson-Trautman and non-expanding Kundt geometries is analyzed in an arbitrary
dimension. Conditions for all possible algebraic types are identified in closed form. Since
the expansion parameter Θ is explicitly kept in all expressions, it can be simply set to
zero to obtain results for the Kundt class. Usefulness of these general results obtained
for all non-twisting and shear-free geometries in any metric theory of gravitation are
demonstrated on specific vacuum solutions to the Einstein field equations.

Institute authors

Supported by

GACR 203/12/0118 — Spacetimes and Fields in Higher Dimensional and Classical Gravity
UNCE 204020/2012 — Výzkum Země a vesmíru metodami teoretické, počítačové a experimentální fyziky

BibTeX

@inproceedings{UTF642,
  author        = {Švarc, R and Podolský, J.},
  title         = {{Algebraic aspects of general non-twisting and shear-free spacetimes}},
  year          = {2017},
}