Philip Threlfall, Susan M Scott
In this paper we demonstrate that there are large classes of Friedmann-Robertson-Walker (FRW) cosmologies that admit isotropic conformal structures of Quiescent Cosmology. FRW models have long been known to admit singularities such as Big Bangs and Big Crunches [1, 2] but recently it has been shown that there are other cosmological structures that these solutions contain. These structures are Big Rips, Sudden Singularities and Extremality Events [1, 2]. Within the Quiescent Cosmology framework [3] there also exist structures consistent with cosmological scenarios such as the Isotropic Past Singularity (IPS) [4, 5] and the Future Isotropic Universe (FIU) [4]. The connection between the two approaches to cosmology may hinge on the similarities and differences between their respective cosmological structures and hence, in this paper, we compare the FRW structures to the conformal definitions of Quiescent Cosmology [4]. In the first section of this paper we present the relevant background information and our motivation. In the second section of this paper we construct conformal relationships for relevant FRW models. The third section contains a thorough discussion of a class of FRW solutions that cannot represent any isotropic conformal structures from Quiescent Cosmology. The final section contains our remarks and future outlook for further study of this field.
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http://arxiv.org/abs/1211.6156
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