caa a22 4500 467887535 CHVBK 20180406152738.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s10714-006-0305-2 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0305-2 Spherically symmetric, self-similar spacetimes [Elektronische Daten] [Sanjay Wagh, Keshlan Govinder] In this paper, we show that self-similarity with respect to the existence of a (purely radial) homothetic Killing vector field for spherically symmetric spacetimes implies the separability of the spacetime metric in terms of the co-moving coordinates (and vice versa) and that the metric is, uniquely, the one recently reported in (Class. Quantam Grav. 18: 2147-2162; 2001). This spacetime, in general, has non-vanishing energy flux and shear. An interesting feature of this spacetime, in contrast to other self-similar spherically symmetric spacetimes (not reducible to our form) is that it has an arbitrary radial distribution of matter. Springer Science+Business Media, Inc., 2006 Wagh Sanjay Central India Research Institute, Laxminagar, Post Box 606, 440 022, Nagpur, India aut Govinder Keshlan School of Mathematical and Statistical Sciences, University of KwaZulu-Natal, 4041, Durban, South Africa aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/8(2006-08-01), 1253-1259 0001-7701 38:8<1253 2006 38 10714 https://doi.org/10.1007/s10714-006-0305-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0305-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wagh Sanjay Central India Research Institute, Laxminagar, Post Box 606, 440 022, Nagpur, India aut NATIONALLICENCE 700 1- Govinder Keshlan School of Mathematical and Statistical Sciences, University of KwaZulu-Natal, 4041, Durban, South Africa aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/8(2006-08-01), 1253-1259 0001-7701 38:8<1253 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer