Understand
We show that in presence of a cosmological constant or, more generally, of a scalar potential, there can exist actually more possibilities for the horizon geometry of a four-dimensional black hole than the hitherto known spherical, hyperbolic or flat cases.
- In particular, there are black holes whose event horizons are noncompact manifolds with finite volume, which are topologically spheres with two punctures.
- We give concrete examples of such black holes in Einstein-Maxwell-AdS gravity and discuss their thermodynamics.
- These exotic solutions, that seem to have been overlooked in the existing literature, may provide interesting testgrounds to address questions related to black hole physics or holography.
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