The Black Hole Universe (BHU) from a FLRW cloud
Résumé
We revisit classical solutions of General Relativity (GR) where the homogeneous (FLRW) metric is a local spherical cloud of constant mass $M$, expanding or collapsing within a larger background. We interpret cosmic acceleration as evidence
that our observed FLRW cloud is expanding inside its own Schwarzschild radius $r_s=2GM$. We call this solution the Black Hole Universe (BHU).
This model solves the horizon and structure formation problems, the two key problems of the Big Bang model, without the need of Inflation or Dark Energy. The same BHU solution can be used to understand the interior of stellar or galactic BHs. In comoving coordinates the BHU is expanding while in physical (rest frame) coordinates it is asymptotically static. We argue that such frame duality corresponds to a simple Lorentz transformation and can be further tested with current observations.
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