Corpus ID: 236447812

Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime

@inproceedings{Gaspern2021StaticityAR,
  title={Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime},
  author={Edgar Gasper{\'i}n and Juan Antonio Valiente Kroon},
  year={2021}
}
Linear zero-rest-mass fields generically develop logarithmic singularities at the critical sets where spatial infinity meets null infinity. Friedrich’s representation of spatial infinity is ideally suited to study this phenomenon. These logarithmic singularities are an obstruction to the smoothness of the zero-rest-mass field at null infinity and, in particular, to peeling. In the case of the spin-2 field it has been shown that these logarithmic singularities can be precluded if the initial… Expand

References

SHOWING 1-10 OF 36 REFERENCES
Does Asymptotic Simplicity Allow for Radiation Near Spatial Infinity?
Abstract.A representation of spatial infinity based on the properties of conformal geodesics is used to obtain asymptotic expansions of the gravitational field near the region where null infinityExpand
Polyhomogeneous Expansions Close to Null and Spatial Infinity
A study of the linearised gravitational field (spin 2 zero-rest-mass field) on a Minkowski background close to spatial infinity is done. To this purpose, a certain representation of spatial infinityExpand
Zero rest-mass fields and the Newman–Penrose constants on flat space
Zero rest-mass fields of spin 1 (the electromagnetic field) and spin 2 propagating on flat space and their corresponding Newman-Penrose (NP) constants are studied near spatial infinity. The aim ofExpand
Conformal Structures of Static Vacuum Data
In the Cauchy problem for asymptotically flat vacuum data the solution-jets along the cylinder at space-like infinity develop in general logarithmic singularities at the critical sets at which theExpand
A New class of obstructions to the smoothness of null infinity
Expansions of the gravitational field arising from the development of asymptotically Euclidean, time symmetric, conformally flat initial data are calculated in a neighbourhood of spatial and nullExpand
Asymptotic properties of the development of conformally flat data near spatial infinity
The analysis of the relation between Bondi-type systems (NP-gauge) and a gauge used in the analysis of the structure of spatial infinity (F-gauge) which was carried out by Friedrich and Kannar (2000Expand
On static and radiative space-times
The conformal constraint equations on space-like hypersurfaces are discussed near points which represent either time-like or spatial infinity for an asymptotically flat solution of Einstein's vacuumExpand
Asymptotic Simplicity and Static Data
The present article considers time-symmetric initial data sets for the vacuum Einstein field equations, which are conformally related to static initial data sets in such a way that in a neighbourhoodExpand
Gravitational fields near space-like and null infinity
Abstract 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 haveExpand
Conformal properties of static spacetimes
Let there be given a conformal class of asymptotically flat 3-metrics containing a metric which is the t=constant metric of a static spacetime with a given nonvanishing mass. The author proves thatExpand
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