Niall Ó Murchadha and Krzysztof Roszkowski 2006 Class. Quantum Grav. 23 539 doi:10.1088/0264-9381/23/2/017
Niall Ó Murchadha1,2 and Krzysztof Roszkowski1,2,3
Show affiliationsGiven a spherical spacelike 3-geometry, there exists a very simple algebraic condition which tells us whether and in which Schwarzschild solution this geometry can be smoothly embedded. One can use this result to show that any given Schwarzschild solution covers a significant subset of spherical superspace and these subsets form a sequence of nested domains as the Schwarzschild mass increases. This also demonstrates that spherical data offer an immediate counterexample to a weak version of the thick sandwich 'theorem'.
Issue 2 (21 January 2006)
Received 3 May 2005, in final form 18 November 2005
Published 30 December 2005
Niall Ó Murchadha and Krzysztof Roszkowski 2006 Class. Quantum Grav. 23 539
R Wessel and R C Ball 1993 J. Phys. A: Math. Gen. 26 L159
Y Koide et al 1998 Plasma Phys. Control. Fusion 40 97
G A Wiegers et al 1991 J. Phys.: Condens. Matter 3 2603
Michael Yampolsky 2003 Nonlinearity 16 1565
Balázs Hetényi 2009 J. Phys. A: Math. Theor. 42 412003
G Danby et al 1987 J. Phys. B: At. Mol. Phys. 20 1039
Alex Veksler and Yair Zarmi 2003 Nonlinearity 16 1367
Patrick Gill 2005 Metrologia 42 S125
H Lörch et al 1999 J. Phys. B: At. Mol. Opt. Phys. 32 2215