Cylindrical analogue of NUT space: spacetime of a line gravomagnetic monopole

Details Cylindrical analogue of NUT space: spacetime of a line gravomagnetic monopole Cylindrical analogue of NUT space: spacetime of a line gravomagnetic monopole

1997-06-05

arxiv.org/abs/gr-qc/9706015v1

Class.Quant.Grav. 14 (1997) 3123-3129

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 1 figure, Latex

Scientific paper

10.1088/0264-9381/14/11/012

Using the quasi-Maxwell form of the vacuum Einstein equations and demanding the presence of a cylindrically symmetric radial gravomagnetic field, we find the solution to the Einstein equations which represents the gravity field of a line gravomagnetic monopole. We show that this is the generalization of the Levi-Civita's cylindrically symmetric static spacetime, in the same way that the NUT metric is the empty space generalization of the Schwarzschild metric. Some of the features of this metric as well as its relation to other metrics are discussed.

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