Black hole scalarization with Gauss-Bonnet and Ricci scalar couplings

Antoniou, Georgios; Lehébel, Antoine; Ventagli, Giulia; Sotiriou, Thomas P.

doi:10.1103/physrevd.104.044002

Cited by 35 publications

(28 citation statements)

References 33 publications

(51 reference statements)

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“…Instead of the linear nonminimal coupling of the form β 4 φR, we can also consider nonminimal couplings with higherorder powers, i.e., αµ 4 φ p R with p ≥ 2, besides the GB couplings [111]. As in the case of p = 1, the contributions to f and h from µ 4 appear at the order of j = 2, while the scalar-field derivative starts to receive corrections from the third order.…”

Section: Quartic and Gb Couplingsmentioning

confidence: 99%

Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models

Minamitsuji,

Takahashi,

Tsujikawa

2022

Preprint

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In full Horndeski theories, we show that the static and spherically symmetric black hole (BH) solutions with a static scalar field φ whose kinetic term X is nonvanishing on the BH horizon are generically prone to ghost/Laplacian instabilities. We then search for asymptotically flat hairy BH solutions with a vanishing X on the horizon free from ghost/Laplacian instabilities. We show that models with regular coupling functions of φ and X result in no-hair Schwarzschild BHs in general. On the other hand, the presence of a coupling between the scalar field and the Gauss-Bonnet (GB) term R 2 GB , even with the coexistence of other regular coupling functions, leads to the realization of asymptotically flat hairy BH solutions without ghost/Laplacian instabilities. Finally, we find that hairy BH solutions in power-law F (R 2 GB ) gravity are plagued by ghost instabilities. These results imply that the GB coupling of the form ξ(φ)R 2 GB plays a prominent role for the existence of asymptotically flat hairy BH solutions free from ghost/Laplacian instabilities. I. INTRODUCTIONGeneral Relativity (GR) has been tested by numerous experiments in the Solar System. While gravity can be well described by GR on the weak gravitational background in our local Universe [1], the dawn of gravitational-wave (GW) astronomy [2] and black hole (BH) shadow measurements [3] have started to allow us to probe the physics of extremely compact objects like BHs and neutron stars [4][5][6][7]. On the other hand, we also know that the Universe recently entered a phase of accelerated expansion [8,9]. While the cosmological constant is the simplest candidate for the source of this acceleration, i.e., dark energy, the theoretical value of vacuum energy mimicking the cosmological constant is enormously larger than the observed dark energy scale [10]. The cosmological constant has also been plagued by tensions of today's Hubble constant H 0 constrained from high-and low-redshift measurements [11,12]. These facts led to the question for the validity of GR on large distances relevant to today's cosmic acceleration. A simple and robust alternative to GR is provided by scalar-tensor theories possessing a scalar degree of freedom coupled to gravity [13].The most general class of scalar-tensor theories with second-order Euler-Lagrange equations of motion is called Horndeski theories [14-17]. 1 There have been numerous attempts for the theoretical construction of dark energy models compatible with observations [25][26][27][28][29][30]. Although such a new scalar degree of freedom potentially manifests itself in the Solar System, fifth forces mediated by the scalar field can be screened [31][32][33][34] by Vainshtein [35] or chameleon [36] mechanisms around a compact body on the weak gravitational background. In the vicinity of a BH, on the other hand, a nonvanishing charge of the scalar field, i.e., scalar hair, gives rise to a nontrivial field profile affecting the background geometry. This offers an interesting possibility for probing the possible deviation f...

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Section: Quartic and Gb Couplingsmentioning

confidence: 99%

Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models

Minamitsuji,

Takahashi,

Tsujikawa

2022

Preprint

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“…More broadly, the method introduced here can, in principle, also be used to calculate the sensitivities of black holes in other gravity theories, e.g., the effective field theory introduced in [21], the effective field theory for black hole scalarization of [90], the models of [107][108][109], and generalizations of ESGB gravity with multiple scalar fields [110]. Indeed, we expect the sensitivities, as calculated here, to play a role beyond ESGB theories: see Refs.…”

Section: Discussionmentioning

confidence: 78%

Black hole sensitivities in Einstein-scalar-Gauss-Bonnet gravity

Julié,

Silva,

Berti

et al. 2022

Preprint

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The post-Newtonian dynamics of black hole binaries in Einstein-scalar-Gauss-Bonnet theories of gravity depends on the so-called "sensitivities", quantities which characterize a black hole's adiabatic response to the time-dependent scalar field environment sourced by its companion. In this work, we calculate numerically the sensitivities of nonrotating black holes, including spontaneously scalarized ones, in three classes of Einstein-scalar-Gauss-Bonnet gravity: the shift-symmetric, dilatonic and Gaussian theories. When possible, we compare our results against perturbative analytical results, finding excellent agreement. Unlike their general relativistic counterparts, black holes in Einsteinscalar-Gauss-Bonnet gravity only exist in a restricted parameter space controlled by the theory's coupling constant. A preliminary study of the role played by the sensitivities in black hole binaries suggests that, in principle, black holes can be driven outside of their domain of existence during the inspiral, for binary parameters which we determine.

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“…In a unified framework, we aim to investigate the dynamic aspects of both the scalarization and descalarization processes in isolated black holes. We explore the temporal evolutions closely related to their static counterpart in a scalarization model featured by the non-minimal couplings of a scalar field to the Gauss-Bonnet and Ricci scalar invariants, derived by Antoniou et al [30] recently. In particular, we elaborate on four distinct scenarios for which the gravitational systems are typically far from equilibrium.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

“…In particular, we elaborate on four distinct scenarios for which the gravitational systems are typically far from equilibrium. In [30], the authors showed that there exists a (rescaled) mass threshold around 1.18. If the mass of the spacetime is below this threshold value, scalarization is triggered by scalar perturbations without any node, and the corresponding static black hole metric is characterized by a non-trivial scalar field outside its horizon.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Dynamic generation or removal of a scalar hair

Liu¹,

Zhang²,

Qian³

et al. 2022

Preprint

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In this work, we study the dynamic processes through which the scalar hair of the black holes is generated or detached. To this end, one investigates the temporal evolution of a far-from-equilibrium gravitational system in the framework of a theory featured by non-minimal couplings of a scalar field to the Gauss-Bonnet and Ricci scalar invariants. In our simulations, the initial spacetime is chosen to be either a bald Schwarzschild or a scalarized spherically symmetric black hole. By further introducing an energy injection, which might be perturbative in some cases, the system's evolution is explored. Intriguing features regarding the final fate of the system are observed, sensitively dependent on the initial configurations, perturbations, and the specific metric parameters. In particular, besides the well-known scalarization through which the black hole acquires scalar hair, the dynamic process might also serve to deprive the hair of an initially stable hairy one. Moreover, we elaborate on the temporal evolution of the scalar field, the metrics, and the Misner-Sharp mass of the spacetime. The implications of the present findings are also addressed.

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Black hole scalarization with Gauss-Bonnet and Ricci scalar couplings

Cited by 35 publications

References 33 publications

Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models

Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models

Black hole sensitivities in Einstein-scalar-Gauss-Bonnet gravity

Dynamic generation or removal of a scalar hair

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