Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15.1009i&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 15, Nov. 1983, p. 1009-1026.
Astronomy and Astrophysics
Astronomy
1
Acceleration (Physics), Astronomical Models, Gravitational Fields, Space-Time Functions, Black Holes (Astronomy), Coordinate Transformations, Particle Motion, Vector Analysis
Scientific paper
In his study of Einstein spaces, Petrov (1969) has classified curvature tensors algebraically. The present investigation is concerned with the type-D empty spaces which possess a degenerate principal null vector tangent to expanding and nonrotating null geodesic congruences. These spaces have been represented by the C metric. Ishikawa and Miyashita (1982) have conducted a classification of the type-D empty spaces. In the current study, the physical properties of space-time of the three classes are explored. In a representation of the metric forms of the three classes, use is made of the Eddington-Finkelstein type of null coordinates. It is shown that the considered classes can be interpreted as a gravitational field of a uniformly accelerating source which moves with a velocity which is equal to that of light, or either slower or faster than it.
Ishikawa Kei-Ichi
Miyashita Toshikazu
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