Madrid, España
In this paper, we propose a new solution to the field equations of general relativity by considering the case of a perfectly spherical and irrotational black hole of uniform and constant density whose size is cosmological. Due to the expansion of the universe, the axial coordinate of its interior should expand at the same rate as the scale factor of the Friedman-Lemaître-Robertson-Walker cosmology, making the body’s volume grow proportional to a3. We study the consequences of the black hole not falling apart due to its diminishing density, as a result of which we encounter that it must gain mass presumably from its interior dark energy. We also show how black holes cannot coexist in the same universe with white holes if Λ̸ = 0. Namely, we conclude that a white hole can only exist with Λ ≤ 0 and black holes with Λ ≥ 0 (like ours), being a compelling explanation as to why we have not found any so far. Only when Λ = 0 could both bodies been observed, although not necessarily.
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