Matching LTB and FRW spacetimes through a null hypersurface

Details Matching LTB and FRW spacetimes through a null hypersurface Matching LTB and FRW spacetimes through a null hypersurface

2007-02-24

arxiv.org/abs/gr-qc/0702130v1

Grav.Cosmol.14:295-300,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

10.1134/S0202289308040014

Matching of a LTB metric representing dust matter to a background FRW universe across a null hypersurface is studied. In general, an unrestricted matching is possible only if the background FRW is flat or open. There is in general no gravitational impulsive wave present on the null hypersurface which is shear-free and expanding. Special cases of the vanishing pressure or energy density on the hypersurface is discussed. In the case of vanishing energy momentum tensor of the null hypersurface, i.e. in the case of a null boundary, it turns out that all possible definitions of the Hubble parameter on the null hypersurface, being those of LTB or that of FRW, are equivalent, and that a flat FRW can only be joined smoothly to a flat LTB.

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