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arXiv · 1006.5027

On Spherically Symmetric Non-Static Space-Times Admitting Homothetic Motions

Ragab M. Gad
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Abstract

Spherically symmetric solutions admitting a homothetic Killing vector field (HKVF) either orthogonal, $η_{\bot}$, or parallel,$η_{||}$, to the 4-velocity vector field, $u^a$, are studied. New self-similar solution of Einstein's field equation is found in the case when HKVF is in a general form. Some physical properties of the obtained solution are examined.

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Ragab M. Gad. 2010-05-12. On Spherically Symmetric Non-Static Space-Times Admitting Homothetic Motions. https://doi.org/10.1393/ncb%2Fi2009-10745-3

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