2020
DOI: 10.1103/physrevd.101.024036
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Stealth black holes in shift symmetric kinetic gravity braiding

Abstract: We derive all hairy stealth black holes in the most general second-order, shift symmetric, scalar-tensor theory with luminally propagating gravitational waves, often called kinetic gravity braiding. Our approach exploits a loophole in a recently obtained no-go statement which claims shift symmetry breaking to be necessary for stealth solutions to exist in kinetic gravity braiding. We highlight the essential role played by a covariantly constant kinetic density in obtaining these solutions. Lastly, we propose a… Show more

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Cited by 16 publications
(11 citation statements)
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“…(3.68). We note that the unhealthy de Sitter state given covariantly by A X = 0 or at component level by the equation 3H 2 = ρ Λ can be identified as a stealth solution wherein the background field equations reduce merely to that of GR [28]. The ghost can then be traced to the same one surrounding stealth black holes and can be alleviated using the scordatura mechanism [52][53][54].…”
Section: Ghost and Laplace Stability Conditionsmentioning
confidence: 94%
See 1 more Smart Citation
“…(3.68). We note that the unhealthy de Sitter state given covariantly by A X = 0 or at component level by the equation 3H 2 = ρ Λ can be identified as a stealth solution wherein the background field equations reduce merely to that of GR [28]. The ghost can then be traced to the same one surrounding stealth black holes and can be alleviated using the scordatura mechanism [52][53][54].…”
Section: Ghost and Laplace Stability Conditionsmentioning
confidence: 94%
“…Recent results even show that the Galileon ghost condensate [25] and the generalized cubic covariant Galileon [26] theories of the tadpole-free shift symmetric sector of KGB can be as compatible with cosmological observations as the ΛCDM model. Interestingly, the same sector also houses hairy black holes and could be potentially rich with observational signatures from the strong gravity regime [27][28][29].…”
Section: Introductionmentioning
confidence: 99%
“…There, we dubbed these closed form solutions as effectively vacuum confiurations. Another interesting analogy is provided by the 'stealth' BH solutions in various alternative models of gravity (see e.g., [18,19] and references therein). Such configurations feature a nontrivial scalar field, while the geometry is still that of the (vacuum) general relativity solutions)).…”
Section: The D = 3 Casementioning
confidence: 99%
“…in the Lagrangians ( 14)- (16). With this choice, setting φ = φ a = 0 results in (pure gravity) CS Lagrangian in d = 2n + 1 dimensions, with a negative cosmological constant Λ.…”
Section: The General Csg Lagrangians and The Connection With The Einstein-lovelock Hierarchymentioning
confidence: 99%
“…For a stealth de Sitter solution in DHOST theories see [39], and for stealth black hole solutions in scalar-tensor theories see Refs. [34,36,[40][41][42][43][44][45][46][47][47][48][49][50], among which the most general case, the Kerr-Newman-de Sitter solution in the DHOST theories, was obtained in [36]. The difference between the standard GR solutions and stealth solutions in scalar-tensor theories arises at the level of perturbations due to the scalar field perturbations.…”
Section: Introductionmentioning
confidence: 99%