This is not the perfect paper but it can help.
http://arxiv.org/abs/0704.0221
It is about what it will be like to study cosmology at some time far in the future. What will happen to the stars and galaxies that we observe now, to learn about the universe? What will happen to the CMB, the cosmic microwave background, which now we can observe and learn things from?
This paper is by a famous cosmologist named Lawrence Krauss.
http://arxiv.org/abs/0704.0221
The Return of a Static Universe and the End of Cosmology
Lawrence M. Krauss (1,2), Robert J. Scherrer (2) ((1) Case Western Reserve University, (2) Vanderbilt University)
(Submitted on 2 Apr 2007 (v1), last revised 27 Jun 2007 (this version, v3))
We demonstrate that as we extrapolate the current LambdaCDM universe forward in time, all evidence of the Hubble expansion will disappear, so that observers in our "island universe" will be fundamentally incapable of determining the true nature of the universe, including the existence of the highly dominant vacuum energy, the existence of the CMB, and the primordial origin of light elements. With these pillars of the modern Big Bang gone, this epoch will mark the end of cosmology and the return of a static universe. In this sense, the coordinate system appropriate for future observers will perhaps fittingly resemble the static coordinate system in which the de Sitter universe was first presented.
Comments: 5th prize 2007 Gravity Research Foundation Essay Competition,
