2013/11/04 by Helmut Friedrich, Friedrich, Helmut
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Electrodynamics and Casimir Effect #gr-qc
paper · pdf · doi:10.48550/arxiv.1311.0700
24 pages. New title, section added, typos corrected
openalex publication_date 2013/11/04 · arxiv created 2014/02/19 · arxiv updated 2014/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 m2 = 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.