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Annales Henri Poincaré

, Volume 16, Issue 10, pp 2215–2238 | Cite as

Smooth Non-Zero Rest-Mass Evolution Across Time-Like Infinity

  • Helmut FriedrichEmail author
Article

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 3m 2 = 2 λ. Cauchy data for the conformal field equations can in this case be prescribed on the (compact, space-like) conformal boundary \({\mathcal{J}^{+}}\). 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.

Keywords

Energy Momentum Tensor Conformal Factor Cauchy Data Conformal Boundary Positive Cosmological Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Max-Planck-Institut für GravitationsphysikGolmGermany

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