Particle motion in the field of a Kasner-type naked singularity with complex or equal indexes

Details Particle motion in the field of a Kasner-type naked singularity with complex or equal indexes Particle motion in the field of a Kasner-type naked singularity with complex or equal indexes

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979zhetf..76..385p&link_type=abstract

Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, vol. 76, Feb. 1979, p. 385-392. In Russian.

Mathematics

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

Scientific paper

Two metrics that depend only on the x-coordinate 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 Kasner-type naked singularity. The analysis indicates that this zero-frequency gravitational wave will pull a test particle toward the singularity or repel the particle, depending upon whether the metric signature is - + + - or - + - -, respectively.

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