MPI für Gravitationsphysik / Geometric Analysis and Gravitation |
|Gravitational fields near space-like and null infinity|
|Date of Publication (YYYY-MM-DD):||1998-01|
|Title of Journal:||Journal of Geometry and Physics|
|Issue / Number:||2|
|Review Status:||not specified|
|Abstract / Description:||Near space-like infinity an initial value problem for the conformal Einstein equations is formulated such that: (i) the data and equations are regular, (ii) space-like and null infinity have a finite representation, with their structure and location known a priori, and (iii) the setting relies entirely on general properties of conformal structures.
A first analysis of this problem shows that the solutions develop in general a certain type of logarithmic singularity at the set where null infinity touches space-like infinity. These singularities form an intrinsic part of the solutions' conformal structure. Conditions on the free initial data near space-like infinity are derived which ensure that for solutions developing from these data singularities of this type cannot occur.
|External Publication Status:||published|
|Communicated by:||Gerhard Huisken|
|Affiliations:||MPI für Gravitationsphysik/Geometric Analysis and Gravitation|