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arXiv · 1311.0700

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

Helmut Friedrich
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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 $λ$ by the relation $3\,m^2 = 2\,λ$. 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.

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Helmut Friedrich. 2014-02-19. Smooth non-zero rest-mass evolution across time-like infinity. https://arxiv.org/abs/1311.0700

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