View : 22 Download: 5

Spatial and null infinity via advanced and retarded conformal factors

Title
Spatial and null infinity via advanced and retarded conformal factors
Authors
Hayward, SA
Ewha Authors
Sean A. Hayward
Issue Date
2003
Journal Title
PHYSICAL REVIEW D
ISSN
0556-2821JCR Link
Citation
vol. 68, no. 10
Publisher
AMERICAN PHYSICAL SOC
Indexed
SCIE WOS
Abstract
A new approach to space-time asymptotics is presented, refining Penrose's idea of conformal transformations with infinity represented by the conformal boundary of space-time. It is proposed that the Penrose conformal factor be a product of advanced and retarded conformal factors, which asymptotically relate physical and conformal null coordinates and vanish at future and past null infinity respectively. A refined definition of asymptotic flatness at both spatial and null infinity is given, including that the conformal boundary is locally a light cone, with spatial infinity as the vertex. It is shown how to choose the conformal factors so that this asymptotic light cone is locally a metric light cone. The theory is implemented in the spin-coefficient (or null-tetrad) formalism by a joint transformation of the spin-metric and spin-basis (or metric and tetrad). Asymptotic regularity conditions are proposed, based on the conformal boundary locally being a smoothly embedded metric light cone. These conditions ensure that the Bondi-Sachs energy-flux integrals of ingoing and outgoing gravitational radiation decay at spatial infinity such that the total radiated energy is finite, and that the Bondi-Sachs energy-momentum has a unique limit at spatial infinity, coinciding with the uniquely rendered ADM energy-momentum.
DOI
10.1103/PhysRevD.68.104015
Appears in Collections:
사범대학 > 과학교육과 > Journal papers
Files in This Item:
Spatial and null infinity via advanced and retarded conformal factors.pdf(122.82 kB)Download
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE