On spherically symmetric perfect-fluid solutions admitting conformal motions

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On spherically symmetric perfect
-
fluid solutions
admitting conformal motions

Research Area:

Faculty of Science

Year:

2002

Type of
Publication:

Article


Authors:



RM Gad


Journal:

NUOVO CIMENTO DELLA
SOCIETA ITALIANA DI FISICA
B
-
GENERAL PHYSICS
RELATIVITY ASTRONOMY
AND MATHEMATICAL
PHYSICS AND METHODS

Volume:

117

Number:

5

Pages:

533
-
547

Month:

May


ISSN:

0369
-
3554


Abstract:

Spherically symmetric perfect
-
fluid space
-
times admitting a conformal Killing
vector field (CKVF) are discussed. A different coordinate representation of the
solutions obtained by Herrera and Kitamura is derived. Exact solutions of
Einstein's field equatio
ns are found in the case when the conformal Killing vector
field is parallel to the 4
-
velocity vector field u(a). Some physical properties of the
obtained solutions are examined. These solutions contain non
-
vanishing
expansion, acceleration and shear. The
Ricci collineation symmetries for a
spherically symmetric perfect fluid are also investigated. It is found that no such
space
-
times admit the Ricci collineation vector field neither orthogonal nor
parallel to the 4
-
velocity vector field.