Alan Coley et al 2009 Class. Quantum Grav. 26 125011 doi:10.1088/0264-9381/26/12/125011
Lorentzian spacetimes with constant curvature invariants in four dimensions
Alan Coley1, Sigbjørn Hervik1,2 and Nicos Pelavas1
Show affiliationsIn this paper we investigate four-dimensional Lorentzian spacetimes with constant curvature invariants (CSI spacetimes). We prove that if a four-dimensional spacetime is CSI, then either the spacetime is locally homogeneous or the spacetime is a Kundt spacetime for which there exists a frame such that the positive boost weight components of all curvature tensors vanish and the boost weight zero components are all constant. We discuss some of the properties of the Kundt–CSI spacetimes and their applications. In particular, we discuss 
-symmetric spaces and degenerate Kundt–CSI spacetimes.
- PACS
- MSC
- Subjects
- Dates
-
Issue 12 (21 June 2009)
Received 9 December 2008, in final form 29 April 2009
Published 27 May 2009
-
Lorentzian spacetimes with constant curvature invariants in four dimensions
Alan Coley et al 2009 Class. Quantum Grav. 26 125011
-
Raman scattering and cathodoluminescence characterization of near lattice-matched InxAl1−xN epilayers
R Cuscó et al 2008 Semicond. Sci. Technol. 23 105002
-
Second-order light deflection by tidal charged black holes on the brane
László Árpád Gergely et al 2009 Class. Quantum Grav. 26 145002
-
An optical Moiré technique for cell traction force mapping
Xiaoyu Zheng and Xin Zhang 2008 J. Micromech. Microeng. 18 125006
-
Photoionization of the I+ ion
Zhifan Chen and Alfred Z Msezane 2009 J. Phys. B: At. Mol. Opt. Phys. 42 165203
-
Measurement of SUSY masses via cascade decays for SPS 1a
Børge Kile Gjelsten et al JHEP12(2004)003
-
Iterative total variation schemes for nonlinear inverse problems
Markus Bachmayr and Martin Burger 2009 Inverse Problems 25 105004
-
Patterning of conducting polymer nanowires on gold/platinum electrodes
Neil T Kemp et al 2007 Nanotechnology 18 145610
-
Short- and intermediate-range order in levitated liquid aluminates
L Hennet et al 2007 J. Phys.: Condens. Matter 19 455210
-
Fermi acceleration in non-autonomous billiards
V Gelfreich and D Turaev 2008 J. Phys. A: Math. Theor. 41 212003
Users also read
What's this?- Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture
- Local Hawking temperature for dynamical black holes
- Fractal spacetime from the area spectrum
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