Gravitational fields near space-like and null infinity

JOURNAL OF GEOMETRY AND PHYSICS

卷:24

Article

Friedrich, H

关键词: initial value problem;    Einstein equations;   

DOI  :  10.1016/S0393-0440(97)82168-7

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free