Journal
PHYSICAL REVIEW D
Volume 89, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.89.104018
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Funding
- FAPESP [2011/11365-4, 2010/08267-8, 2013/01854-3]
- CNPq
- Perimeter Institute for Theoretical Physics. Research at Perimeter Institute
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
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Both cosmological expansion and black holes are ubiquitous features of our observable Universe, yet exact solutions connecting the two have remained elusive. To this end, we study self-gravitating classical fields within dynamical spherically symmetric solutions that can describe black holes in an expanding universe. After attempting a perturbative approach of a known black-hole solution with scalar hair, we show by exact methods that the unique scalar field action with first-order derivatives that can source shear-free expansion around a black hole requires noncanonical kinetic terms. The resulting action is an incompressible limit of k-essence, otherwise known as the cuscuton theory, and the spacetime it describes is the McVittie metric. We further show that this solution is an exact solution to the vacuum Horava-Lifshitz gravity with anisotropic Weyl symmetry.
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