| ID:
330089.0,
MPI für Gravitationsphysik / Geometric Analysis and Gravitation |
| Gravitational fields near space-like and null infinity |
| Authors: | Friedrich, Helmut |
| Date of Publication (YYYY-MM-DD): | 1998-01 |
| Title of Journal: | Journal of Geometry and Physics |
| Volume: | 24 |
| Issue / Number: | 2 |
| Start Page: | 83 |
| End Page: | 163 |
| 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 |
| Document Type: | Article |
| Communicated by: | Gerhard Huisken |
| Affiliations: | MPI für Gravitationsphysik/Geometric Analysis and Gravitation
|
| Identifiers: | DOI:10.1016/S0393-0440(97)82168-7
ISSN:0393-0440
LOCALID:5222 |
|
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