General Relativistic Scalar Field Models in the Large

Details General Relativistic Scalar Field Models in the Large General Relativistic Scalar Field Models in the Large

1994-08-10

arxiv.org/abs/gr-qc/9408012v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, latex, AGG 19

Scientific paper

10.1088/0264-9381/12/3/016

For a class of scalar fields including the massless Klein-Gordon field the general relativistic hyperboloidal initial value problems are equivalent in a certain sense. By using this equivalence and conformal techniques it is proven that the hyperboloidal initial value problem for those scalar fields has an unique solution which is weakly asymptotically flat. For data sufficiently close to data for flat spacetime there exist a smooth future null infinity and a regular future timelike infinity.

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