Abstract
The solution of the Einstein field equations in the case of an infinite, static, uniform distribution of matter lying parallel to thex−y plane is obtained. This metric is equivalent to the uniformly accelerated metric which causes the particles to move with uniform acceleration parallel to thez-axis.
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Krige, J.D., Maharaj, S.D. & McKenzie, J.F. The gravitational field of a static infinite sheet of matter. Astrophys Space Sci 145, 177–180 (1988). https://doi.org/10.1007/BF00645701
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DOI: https://doi.org/10.1007/BF00645701