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Fig. 1.

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Several ΛLTB quantities as a function of the FLRW comoving coordinate rout. Top: density contrast of matter, δ(r) = ρm(r, t0)/ρm(rB, t0)−1, and integrated mass, Δ(r), as functions of the FLRW comoving coordinate. At radius the central structure ends and the compensating shell begins, while is the boundary of the spherical inhomogeneity. Middle: deviations from the background density of matter, , and curvature, , as a function of the FLRW comoving coordinate due to the radial dependence on Ωm, 0(r) and Ωk, 0(r). We note that the FLRW background quantities are recovered for . Bottom: transverse and longitudinal fluctuations in the expansion rates as a function of the FLRW comoving coordinate.

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