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


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.


Energy Momentum Tensor Conformal Factor Cauchy Data Conformal Boundary Positive Cosmological Constant 
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© Springer Basel 2014

Authors and Affiliations

  1. 1.Max-Planck-Institut für GravitationsphysikGolmGermany

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