چکیده
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Since the conformal transformations of metric do not change its causal structure, we use
these transformations to embed the Lemaˆıtre metrics into the FRW background. In our
approach, conformal transformation is in agreement with the universe expansion regimes.
Indeed, we use the Lemaˆıtre metrics because the horizon singularity is eliminated in these
metrics. Moreover, some physical and mathematical properties of the introduced metrics
have been addressed. We show that the resultant metrics include event horizons while
their physical radii are increasing as a function of the universe expansion which may
provide suitable metrics for investigating the effects of the universe expansion on the
black holes.
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