ausblenden:
Schlagwörter:
General Relativity and Quantum Cosmology, gr-qc
Zusammenfassung:
It is shown that solutions to Einstein's field equations with positive
cosmological constant can include non-zero rest-mass fields which coexist with
and travel unimpeded across a smooth conformal boundary. This is exemplified by
the coupled Einstein-massive-scalar field equations for which the mass $m$ is
related to the cosmological constant $\lambda$ by the relation $3\,m^2 =
2\,\lambda$. Cauchy data for the conformal field equations can in this case be
prescribed on the (compact, space-like) conformal boundary ${\cal J}^+$. Their
developments backwards in time induce a set of standard Cauchy data on
space-like slices for the Einstein-massive-scalar field equations which is open
in the set of all Cauchy data for this system.
