Logarithmic Newman-Penrose constants for arbitrary polyhomogeneous spacetimes

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 ${\Psi }_0=Ø(r^{-3}{\ln }^{N_3})$) is addressed. It is found that these constants exist for the generic case.

13 pages, section 5 supressed, typos corrected

References in corpus (2)

• Uniqueness of the Trautman--Bondi mass
• Conserved Quantities for Polyhomogeneous Space-Times

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