Shear-free spherically symmetric solutions with conformal symmetry

S. D. Maharaj; P. G. L. Leach; R. Maartens

doi:10.1007/BF00762289

Shear-free spherically symmetric solutions with conformal symmetry

S. D. Maharaj^*
, P. G. L. Leach
, R. Maartens

^*Corresponding author for this work

Institute of Cosmology & Gravitation

Research output: Contribution to journal › Article › peer-review

Abstract

Dyer, McVittie and Oattes (1987) presented the field equations for shearfree perfect fluid spacetimes which are spherically symmetric and admit a conformal symmetry. Two special solutions of these equations are found. Furthermore, in the general case, one field equation is solved in terms of a Painlevé transcendent, while the remaining equation is reduced to an Emden-Fowler equation.

Original language	English
Pages (from-to)	261-267
Number of pages	7
Journal	General Relativity and Gravitation
Volume	23
Issue number	3
DOIs	https://doi.org/10.1007/BF00762289
Publication status	Published - 1 Mar 1991

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title = "Shear-free spherically symmetric solutions with conformal symmetry",

abstract = "Dyer, McVittie and Oattes (1987) presented the field equations for shearfree perfect fluid spacetimes which are spherically symmetric and admit a conformal symmetry. Two special solutions of these equations are found. Furthermore, in the general case, one field equation is solved in terms of a Painlev{\'e} transcendent, while the remaining equation is reduced to an Emden-Fowler equation.",

author = "Maharaj, \{S. D.\} and Leach, \{P. G. L.\} and R. Maartens",

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AU - Maharaj, S. D.

AU - Leach, P. G. L.

AU - Maartens, R.

PY - 1991/3/1

Y1 - 1991/3/1

N2 - Dyer, McVittie and Oattes (1987) presented the field equations for shearfree perfect fluid spacetimes which are spherically symmetric and admit a conformal symmetry. Two special solutions of these equations are found. Furthermore, in the general case, one field equation is solved in terms of a Painlevé transcendent, while the remaining equation is reduced to an Emden-Fowler equation.

AB - Dyer, McVittie and Oattes (1987) presented the field equations for shearfree perfect fluid spacetimes which are spherically symmetric and admit a conformal symmetry. Two special solutions of these equations are found. Furthermore, in the general case, one field equation is solved in terms of a Painlevé transcendent, while the remaining equation is reduced to an Emden-Fowler equation.

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DO - 10.1007/BF00762289

M3 - Article

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SN - 0001-7701

VL - 23

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EP - 267

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 3

ER -

Shear-free spherically symmetric solutions with conformal symmetry

Abstract

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