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

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Friedrich,  Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1311.0700.pdf
(Preprint), 245KB

AHPof2014.pdf
(Any fulltext), 347KB

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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.