Topology of cosmological black holes
Abstract
Motivated by the question of how generic inflation is, I study the time-evolution of topological surfaces in an inhomogeneous cosmology with positive cosmological constant Λ. If matter fields satisfy the Weak Energy Condition, non-spherical incompressible surfaces of least area are shown to expand at least exponentially, with rate d log Amin/dλ >= 8π GNΛ, under the mean curvature flow parametrized by λ. With reasonable assumptions about the nature of singularities this restricts the topology of black holes: (a) no trapped surface or apparent horizon can be a non-spherical, incompressible surface, and (b) the interior of black holes cannot contain any such surface.
- Publication:
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Journal of Cosmology and Astroparticle Physics
- Pub Date:
- May 2020
- DOI:
- 10.1088/1475-7516/2020/05/029
- arXiv:
- arXiv:1810.01431
- Bibcode:
- 2020JCAP...05..029M
- Keywords:
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- High Energy Physics - Theory;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- General Relativity and Quantum Cosmology
- E-Print:
- JCAP version, 30 pages, 6 figures, our definition of black holes and apparent horizons in cosmology has been clarified