Physics
Scientific paper
Jul 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..655n&link_type=abstract
General Relativity and Gravitation, Volume 14, Issue 7, pp.655-672
Physics
8
Scientific paper
In a previous paper we investigated a class ofnonpeeling asymptotic vacuum solutions which were shown to admit finite expressions for the Winicour-Tamburino energy-momentum and angular momentum integrals. These solutions have the property that ψ _0 = O(r^{ - 3 - in _0 } ), in _0 ≤slant 2 and ψ _1 = O(r^{ - 3 - in _1 } ), in _1< in _0 and in _1< 1 withψ 2,ψ 3, andψ 4 having the same asymptotic behavior as they do for peeling solutions. The above investigation was carried out in the physical space-time. In this paper we examine the conformal properties of these solutions, as well as the more general Couch-Torrence solutions, which include them as a subclass. For the Couch-Torrence solutions begin{gathered} ψ _0 = O(r^{ - 2 - in _0 } ) \ ψ _1 = O(r^{ - 2 - in _1 } ), in _1< in _0 {text{ }}and in _1 ≤slant 2 \ and , ψ _2 = O(r^{ - 2 - in _2 } ),{text{ }} in _2< in _1 {text{ }}and in _2 ≤slant 1 withψ 3 andψ 4 behaving as they do for peeling solutions. It is our purpose to determine how much of the structure generally associated with peeling space-times is preserved by the nonpeeling solutions. We find that, in general, a three-dimensional null boundary (?+) can be defined and that the BMS group remains the asymptotic symmetry group. For the general Couch-Torrence solutions several physically and/or geometrically interesting quantities
Goldberg Joshua N.
Novak Stephanie
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