Twisting type-N vacuum fields with a group $H_2$

Details Twisting type-N vacuum fields with a group $H_2$ Twisting type-N vacuum fields with a group $H_2$

2000-10-07

arxiv.org/abs/gr-qc/0010026v1

Class.Quant.Grav. 17 (2000) 4587-4596

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 11 pages. To be published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/17/21/314

We derive the equations corresponding to twisting type-N vacuum gravitational fields with one Killing vector and one homothetic Killing vector by using the same approach as that developed by one of us in order to treat the case with two non-commuting Killing vectors. We study the case when the homothetic parameter $\phi$ takes the value -1, which is shown to admit a reduction to a third-order real ordinary differential equation for this problem, similar to that previously obtained by one of us when two Killing vectors are present.

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