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Journal Article

#### Smooth non-zero rest-mass evolution across time-like infinity

##### Fulltext (public)

1311.0700.pdf

(Preprint), 245KB

AHPof2014.pdf

(Any fulltext), 347KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Friedrich, H. (2015). Smooth non-zero rest-mass evolution across time-like infinity.* Annales Henri Poincare,* *16*, 2215-2238. doi:10.1007/s00023-014-0368-7.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0027-9F9F-6

##### Abstract

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.