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Cosmological Einstein-λ-Perfect-Fluid Solutions with Asymptotic Dust or Asymptotic Radiation Equations of State.

Authors :
Friedrich, Helmut
Source :
Annales Henri Poincaré. Sep2024, Vol. 25 Issue 9, p4263-4282. 20p.
Publication Year :
2024

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 lose any conformal covariance or privilege. We analyse the conformal field equations induced with these equations of state. It is shown that the Einstein- λ -perfect-fluid equations with an asymptotic radiation equation of state allow for large sets of Cauchy data that develop into solutions which admit smooth conformal boundaries in the future and smooth extensions beyond. In the case of asymptotic dust equations of state sharp results on the future asymptotic behaviour are not available yet. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14240637
Volume :
25
Issue :
9
Database :
Academic Search Index
Journal :
Annales Henri Poincaré
Publication Type :
Academic Journal
Accession number :
179167659
Full Text :
https://doi.org/10.1007/s00023-024-01416-3