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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract:
We study a self-interacting scalar field theory coupled to gravity and are
interested in spherically symmetric solutions with a regular origin surrounded
by a horizon. For a scalar potential containing a barrier, and using the most
general spherically symmetric ansatz, we show that in addition to the known
static, oscillating solutions discussed earlier in the literature there exist
new classes of solutions which appear in the strong field case. For these
solutions the spatial sphere shrinks either beyond the horizon, implying a
collapsing universe outside of the cosmological horizon, or it shrinks already
inside of the horizon, implying the existence of a black hole surrounding the
scalar lump in all directions. Crucial for the existence of all such solutions
is the presence of a scalar field potential with a barrier that satisfies the
swampland conjectures.
