Radiative falloff in Einstein-Straus spacetime - art. no. 084008

Citation
Wg. Laarakkers et E. Poisson, Radiative falloff in Einstein-Straus spacetime - art. no. 084008, PHYS REV D, 6408(8), 2001, pp. 4008
Citations number
34
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
0556-2821 → ACNP
Volume
6408
Issue
8
Year of publication
2001
Database
ISI
SICI code
0556-2821(20011015)6408:8<4008:RFIES->2.0.ZU;2-4
Abstract
The Einstein-Straus spacetime describes a nonrotating black hole immersed i n a matter-dominated cosmology. It is constructed by scooping out a spheric al ball of the dust and replacing it with a vacuum region containing a blac k hole of the same mass. The metric is smooth at the boundary, which is com oving with the rest of the universe. We study the evolution of a massless s calar field in the Einstein-Straus spacetime, with special emphasis on its late-time behavior. This is done by numerically integrating the scalar wave equation in a double-null coordinate system that covers both portions (vac uum and dust) of the spacetime. We show that the field's evolution is gover ned mostly by the strong concentration of curvature near the black hole, an d the discontinuity in the dust's mass density at the boundary; these give rise to a rather complex behavior at late times. Contrary to what it would do in an asymptotically flat spacetime, the field does not decay in time ac cording to an inverse power law.