V Pravda et al 2004 Class. Quantum Grav. 21 2873 doi:10.1088/0264-9381/21/12/007
Bianchi identities in higher dimensions
V Pravda1, A Pravdová1, A Coley2 and R Milson2
Show affiliationsA higher dimensional frame formalism is developed in order to study implications of the Bianchi identities for the Weyl tensor in vacuum spacetimes of the algebraic types III and N in arbitrary dimension n. It follows that the principal null congruence is geodesic and expands isotropically in two dimensions and does not expand in n − 4 spacelike dimensions or does not expand at all. It is shown that the existence of such principal geodesic null congruence in vacuum (together with an additional condition on twist) implies an algebraically special spacetime. We also use the Myers–Perry metric as an explicit example of a vacuum type D spacetime to show that principal geodesic null congruences in vacuum type D spacetimes do not share this property.
- PACS
-
04.50.-h Higher-dimensional gravity and other theories of gravity
04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
- Subjects
- Dates
-
Issue 12 (21 June 2004)
Received 28 November 2003
Published 18 May 2004
A Corrigendum for this article has been published in 2007 Class. Quantum Grav. 24 1691
-
Bianchi identities in higher dimensions
V Pravda et al 2004 Class. Quantum Grav. 21 2873
-
Instability of scalar charges in (1 + 1) and (2 + 1) dimensions
Lior M Burko 2002 Class. Quantum Grav. 19 3745
-
Low- and intermediate-pT di-hadron distributions in Au + Au collisions at
GeV from STAR
M J Horner (for the STAR Collaboration) 2007 J. Phys. G: Nucl. Part. Phys. 34 S995
-
The Physics of Dust Coagulation and the Structure of Dust Aggregates in Space
C. Dominik and A. G. G. M. Tielens 1997 ApJ 480 647
-
Comparison of simulated and experimental time resolved emission for a Ne-like nickel x-ray laser
Y Abou-Ali et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 4097
-
Effect of cardiac motion on body surface electrocardiographic potentials: an MRI-based simulation study
Qing Wei et al 2006 Phys. Med. Biol. 51 3405
-
Reconstruction of the refractive index gradient by x-ray diffraction enhanced computed tomography
Junyue Wang et al 2006 Phys. Med. Biol. 51 3391
-
Astrophysical and terrestrial probes to test Einstein-Cartan gravity
L C Garcia de Andrade 2001 Class. Quantum Grav. 18 3907
-
Valence double photoionization of beryllium
R Wehlitz and S B Whitfield 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L719
-
Fine resolution calculations of SAR in the human body for frequencies up to 3 GHz
P J Dimbylow 2002 Phys. Med. Biol. 47 2835
Users also read
What's this?Related review articles
What's this?- Loop quantum cosmology: a status report
- Tunnelling methods and Hawking's radiation: achievements and prospects
- Quantitative approaches to information recovery from black holes