Spinning and excited black holes in Einstein-scalar-Gauss–Bonnet theory

Collodel, Lucas G.; Kleihaus, Burkhard; Kunz, Jutta; Berti, Emanuele

doi:10.1088/1361-6382/ab74f9

Cited by 109 publications

(61 citation statements)

References 92 publications

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“…Clearly, G Kerr is not monotonic, and can even become negative close to the horizon. This explains the results of [45,46], where it was shown that rotation suppresses scalarization for η > 0.…”

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confidence: 69%

Spin-Induced Black Hole Spontaneous Scalarization

et al. 2020

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We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in the linearized regime, is expected to be quenched by nonlinearities and endow the black hole with scalar hair. Hence, our results demonstrate the existence of a broad class of theories that share the same stationary black hole solutions with general relativity at low spins, but which exhibit black hole hair at sufficiently high spins (a/M 0.5). This result has clear implications for tests of general relativity and the nature of black holes with gravitational and electromagnetic observations.

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supporting

confidence: 69%

Spin-Induced Black Hole Spontaneous Scalarization

et al. 2020

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“…1 and 2) [49]. A third boundary exists when = +1, the "static configurations" [38,50] (dashed-dotted black lines in the insets of Figs. 1 and 2).…”

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confidence: 99%

Spin-Induced Scalarized Black Holes

et al. 2021

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It was recently shown that a scalar field suitably coupled to the Gauss-Bonnet invariant G can undergo a spin-induced linear tachyonic instability near a Kerr black hole. This instability appears only once the dimensionless spin j is sufficiently large, that is, j 0.5. A tachyonic instability is the hallmark of spontaneous scalarization. Focusing, for illustrative purposes, on a class of theories that do exhibit this instability, we show that stationary, rotating black hole solutions do indeed have scalar hair once the spin-induced instability threshold is exceeded, while black holes that lie below the threshold are described by the Kerr solution. Our results provide strong support for spin-induced black hole scalarization.

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“…Restricting again to the spherically symmetric case, we consider an ansatz with φ ≡ φ(r), A = V (r)dt, (34) which can be shown to be consistent. Then, when ignoring the backreaction, the problem reduces to solving the Figure 3: Left panel: The asymptotic value of the scalar field φ ∞ , the value of the scalar field at the horizon φ H and the charge of the vector field Q e are shown as a function of the ration α/r 2 H for solutions of the scalar-vector model in the probe limit.…”

Section: The Scalar-vector Model: Perturbative Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Further work includes the study of scalarized BHs in various extensions of the initial framework [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and the investigation of solutions' stability [25][26][27][28]; furthermore, partial analytical results are reported in Refs. [29][30][31][32], while scalarized, rotating BHs are studied in [33][34][35][36][37][38][39]. The explicit form of the coupling function does not appear for be important for the existence of scalarized solutions (although it impacts on their properties), as long as the conditions discussed above are satisfied.…”

Section: Introductionmentioning

confidence: 99%

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Embedding Gauss–Bonnet Scalarization Models in Higher Dimensional Topological Theories

2021

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In the presence of appropriate non-minimal couplings between a scalar field and the curvature squared Gauss–Bonnet (GB) term, compact objects such as neutron stars and black holes (BHs) can spontaneously scalarize, becoming a preferred vacuum. Such strong gravity phase transitions have attracted considerable attention recently. The non-minimal coupling functions that allow this mechanism are, however, always postulated ad hoc. Here, we point out that families of such functions naturally emerge in the context of Higgs–Chern–Simons gravity models, which are found as dimensionally descents of higher dimensional, purely topological, Chern–Pontryagin non-Abelian densities. As a proof of concept, we study spherically symmetric scalarized BH solutions in a particular Einstein-GB-scalar field model, whose coupling is obtained from this construction, pointing out novel features and caveats thereof. The possibility of vectorization is also discussed, since this construction also originates vector fields non-minimally coupled to the GB invariant.

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Spinning and excited black holes in Einstein-scalar-Gauss–Bonnet theory

Cited by 109 publications

References 92 publications

Spin-Induced Black Hole Spontaneous Scalarization

Spin-Induced Black Hole Spontaneous Scalarization

Spin-Induced Scalarized Black Holes

Embedding Gauss–Bonnet Scalarization Models in Higher Dimensional Topological Theories

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