TY - JOUR
T1 - Isotropic singularities in shear-free perfect fluid cosmologies
AU - Ericksson, Geoffery
AU - Scott, Susan M.
PY - 2000/3
Y1 - 2000/3
N2 - We investigate barotropic perfect fluid cosmologies which admit an isotropic singularity. From the General Vorticity Result of Scott, it is known that these cosmologies must be irrotational. In this paper we prove, using two different methods, that if we make the additional assumption that the perfect fluid is shear-free, then the fluid flow must be geodesic. This then implies that the only shear-free, barotropic, perfect fluid cosmologies which admit an isotropic singularity are the FRW models.
AB - We investigate barotropic perfect fluid cosmologies which admit an isotropic singularity. From the General Vorticity Result of Scott, it is known that these cosmologies must be irrotational. In this paper we prove, using two different methods, that if we make the additional assumption that the perfect fluid is shear-free, then the fluid flow must be geodesic. This then implies that the only shear-free, barotropic, perfect fluid cosmologies which admit an isotropic singularity are the FRW models.
KW - Cosmology
KW - Shear-free barotropic perfect fluid
UR - http://www.scopus.com/inward/record.url?scp=0034348310&partnerID=8YFLogxK
U2 - 10.1023/A:1001968015342
DO - 10.1023/A:1001968015342
M3 - Article
SN - 0001-7701
VL - 32
SP - 425
EP - 443
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 3
ER -