Journal
PHYSICAL REVIEW D
Volume 99, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.99.064011
Keywords
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Funding
- H2020-MSCA-RISE-2015 [StronGrHEP-690904]
- COST action [CA16104]
- NSF [PHY-1607130, PHY-1841464, AST-1841358]
- NASA [NNX16AB98G, 80NSSC17M0041]
- STFC Consolidated Grant [ST/P000703/1]
- University of Pennsylvania
- NSF-XSEDE [PHY-090003]
- NASA ATP [17-ATP17-0225]
- American Physical Society
- STFC [ST/P000703/1] Funding Source: UKRI
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Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black hole solutions predicted by general relativity as well as novel hairy black hole solutions. The stability of hairy black holes is strongly dependent on the precise form of the scalar-gravity coupling. A radial stability investigation revealed that all scalarized black hole solutions are unstable when the coupling between the scalar field and the Gauss-Bonnet invariant is quadratic in the scalar, whereas stable solutions exist for exponential couplings. Here, we elucidate this behavior. We demonstrate that, while the quadratic term controls the onset of the tachyonic instability that gives rise to the black hole hair, the higher-order coupling terms control the nonlinearities that quench that instability and, hence, also control the stability of the hairy black hole solutions.
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