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General Relativity and Quantum Cosmology, gr-qc
Abstract:
This article introduces the notions of asymptotic dust and asymptotic
radiation equations of state. With these non-linear generalizations of the well
known dust or (incoherent) radiation equations of state the perfect-fluid
equations loose any conformal covariance or privilege. We analyse the conformal
field equations induced with these equations of state. It is shown that the
Einstein-Lambda-perfect-fluid equations with an asymptotic radiation equation
of state allow for large sets of data that develop into solutions which admit
smooth conformal boundaries in the future and smooth extensions beyond.
