Isotropic Cosmological Singularities: I. Polytropic Perfect Fluid Spacetimes

✍ Scribed by K. Anguige; K.P. Tod

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 300 KB
• Volume: 276
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1999.5946

✦ Synopsis

We consider the conformal Einstein equations for 1 # 2 polytropic perfect fluid cosmologies which admit an isotropic singularity. For 1<# 2 it is shown that the Cauchy problem for these equations is well-posed, that is, that solutions exist, are unique, and depend smoothly on the data, with data consisting of simply the 3-metric of the singularity. The analogous result for #=1 (dust) is obtained when Bianchi type symmetry is assumed.