corner
corner
APS » Journals » Phys. Rev. D » Volume 57 » Issue 8
< Previous Article | Next Article >

Phys. Rev. D 57, 4728–4737 (1998)

Late time behavior of the maximal slicing of the Schwarzschild black hole

Download: PDF (244 kB) Buy this article Export: BibTeX or EndNote (RIS)

R. Beig*
Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Vienna, Austria

N. Ó Murchadha†
Physics Department, University College Cork, Cork, Ireland
Erwin Schrödinger International Institute for Mathematical Physics, Boltzmanngasse 9, A-1090 Vienna, Austria

Received 16 June 1997; published in the issue dated 15 April 1998

A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can evolve into a foliation of the r>3m/2 region of spacetime by maximal surfaces with the requirement that time run equally fast at both spatial ends of the manifold. This paper studies the behavior of these slices in the limit as proper time at infinity becomes arbitrarily large. It is shown that the central lapse decays exponentially and an analytic expression is given both for the exponent and for the preexponential factor.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.4728
DOI:
10.1103/PhysRevD.57.4728
PACS:
04.20.Cv

*Email address: BEIG@PAP.UNIVIE.AC.AT; Fax: ++43-1-317-22-20.

†Email address: NIALL@BUREAU.UCC.IE; Fax: +353-21-276949.

 
< Previous Article | Next Article >