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We generalize the Swiss-cheese cosmologies so as to include nonzero linear momenta of the associated boundary surfaces.
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The original Swiss-cheese model was the vacuole model first given by A. Einstein and E.G. Straus, Rev. Mod. Phys. 17
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This is the view suggested in J. Plebański and A. Krasiński, General Relativity and Cosmology
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E. Poisson, A Relativist’s Toolkit: The Mathematics of Black-hole Mechanics
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We use geometrical units, a signature of + 2 +2 and designate functional dependence usually only on the first appearance of a function. When the velocity of light enters explicitly, we designate it by c c
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The noncovariant character of ( 4
Cited in the paper.
Whereas this equation is derived in [ 3 ] , the physical meaning of 𝒟 \mathcal{D} was not given there
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See, for example, G.F.R. Ellis, in Proceedings of the International School of Physics Enrico Fermi, Course 47: General Relativity and Cosmology , edited by R.K. Sachs (Academic Press, New York 1971); This classic paper has been republished in Gen. Relativ. Gravit. 41
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E. Komatsu et al. , Astrophys. J. Suppl. Ser. 180
2009
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