J Podolský and M Belán 2004 Class. Quantum Grav. 21 2811 doi:10.1088/0264-9381/21/12/003
J Podolský and M Belán
Show affiliationsWe investigate geodesics in specific Kundt type N (or conformally flat) solutions to Einstein's equations. Components of the curvature tensor in parallelly transported tetrads are then explicitly evaluated and analysed. This elucidates some interesting global properties of the spacetimes, such as an inherent rotation of the wave-propagation direction, or the character of singularities. In particular, we demonstrate that the characteristic envelope singularity of the rotated wave fronts is a (non-scalar) curvature singularity, although all scalar invariants of the Riemann tensor vanish there.
04.20.Dw Singularities and cosmic censorship
53C22 Geodesics (See also 58E10)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 12 (21 June 2004)
Received 27 February 2004
Published 7 May 2004
J Podolský and M Belán 2004 Class. Quantum Grav. 21 2811
J C Polf et al 2009 Phys. Med. Biol. 54 N519
B Mota et al 2004 Class. Quantum Grav. 21 3361
Jennifer Oudry et al 2009 Phys. Med. Biol. 54 6979
B S Sathyaprakash 2000 Class. Quantum Grav. 17 L157
N Martsinovich et al 2003 J. Phys.: Condens. Matter 15 S2815
B Cheal et al 2003 J. Phys. G: Nucl. Part. Phys. 29 2479
C Dawson et al 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L525
G F Dell'Antonio and L Tenuta 2004 J. Phys. A: Math. Gen. 37 5605
O Hemmers et al 1997 J. Phys. B: At. Mol. Opt. Phys. 30 L727