Particle motion in the field of a Kasnertype naked singularity with complex or equal indexes
Abstract
Two metrics that depend only on the xcoordinate are analyzed which correspond to the respective cases where the Kasner indexes are complex or equal. It is demonstrated that the metric with complex Kasner indexes is axisymmetric and may be derived from the Weyl metric. The metric with equal Kasner indexes is shown to describe a strong gravitational wave of zero frequency either in a vacuum or near an infinitely long and thin Kasnertype naked singularity. The analysis indicates that this zerofrequency gravitational wave will pull a test particle toward the singularity or repel the particle, depending upon whether the metric signature is  + +  or  +  , respectively.
 Publication:

Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
 Pub Date:
 February 1979
 Bibcode:
 1979ZhETF..76..385P
 Keywords:

 Field Theory (Physics);
 Gravitational Waves;
 Particle Motion;
 Singularity (Mathematics);
 Vacuum;
 Complex Systems;
 Indexes (Ratios);
 Astrophysics