Translation in cylindrically symmetric vacuum

Starting from the stationary cylindrically symmetric solution, but with the coordinates z and ϕ interchanged, and supposing that it could describe the vacuum spacetime of a translating cylinder, we investigate its physical and geometrical properties. This hypothesis is not entirely new since it has...

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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 51; no. 11; pp. 1 - 12
Main Authors Célérier, M.-N., Chan, R., da Silva, M. F. A., Santos, N. O.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2019
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Cylinders
Differential Geometry
Gravity
Mathematical and Computational Physics
Physical properties
Physics
Physics and Astronomy
Quantum Physics
Relativity
Relativity Theory
Research Article
Theoretical
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Summary:Starting from the stationary cylindrically symmetric solution, but with the coordinates z and ϕ interchanged, and supposing that it could describe the vacuum spacetime of a translating cylinder, we investigate its physical and geometrical properties. This hypothesis is not entirely new since it has already been considered in a previous paper describing a translating source. We show that this metric is geometrically related to the vacuum field produced by a stationary rotating cylindrical source, known as Lewis solution. However, we find new physical properties, different from those of the Lewis vacuum solution. Moreover, we show that no translating cylindrical dust solution can exist in general relativity.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-019-2638-7