Logarithmic Newman-Penrose constants for arbitrary polyhomogeneous spacetimes
Open Access
- 1 January 1999
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 16 (5) , 1653-1665
- https://doi.org/10.1088/0264-9381/16/5/314
Abstract
A discussion of how to calculate asymptotic expansions for polyhomogeneous spacetimes using the Newman-Penrose formalism is made. The existence of logarithmic Newman-Penrose constants for a general polyhomogeneous spacetime (i.e. a polyhomogeneous spacetime such that 0 = O(r-3lnN3)) is addressed. It is found that these constants exist for the generic case.Keywords
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This publication has 21 references indexed in Scilit:
- Behavior of Einstein-Rosen waves at null infinityPhysical Review D, 1997
- Gravitational waves in general relativity XIV. Bondi expansions and the ‘polyhomogeneity’ of ℐPhilosophical Transactions A, 1995
- On “hyperboloidal” Cauchy data for vacuum einstein equations and obstructions to smoothness of ScriCommunications in Mathematical Physics, 1994
- Relativistic discs and flat galaxy modelsMonthly Notices of the Royal Astronomical Society, 1993
- Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinityPhysical Review Letters, 1993
- Radiation fields in the Schwarzschild backgroundJournal of Mathematical Physics, 1973
- Asymptotic Behavior of Vacuum Space-TimesJournal of Mathematical Physics, 1972
- Gravitational waves in general relativity IX. Conserved quantitiesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1966
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated systemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
- Three Lectures on Relativity TheoryReviews of Modern Physics, 1957