Schwarzschild-type black holes in Starobinsky-Bel-Robinson gravity

Delgado, Ruben Campos; Ketov, Sergei V.

doi:10.1016/j.physletb.2023.137690

Cited by 17 publications

(10 citation statements)

References 11 publications

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“…This work is the first analysis of quasinormal modes of the black hole in the Starobinsky-Bel Robinson gravity suggested recently in [14]. It proved out that the black hole possesses a rich quasinormal spectrum with the following features:…”

Section: Discussionmentioning

confidence: 77%

“…This allows for various applications such as Hawking radiation, entropy, inflation, optical phenomena etc. [12][13][14][15]19] The black hole solution in SBR gravity depends on the value of β corrected to first order perturbations.…”

Section: The Metricmentioning

confidence: 99%

“…Recently a new gravitational theory in four dimensions has been proposed in the form of a sum of the modified R + αR 2 Starobinsky inflation allowing for the leading Bel-Robinson-tensor-squared term. These corrections are inspired by the gravitational effective action of superstrings/M-theory compactified to four dimensions [12][13][14][15]. The Starobinsky-Bel-Robinson Lagrangian possesses only two free parameters, which makes it attractive for studying various physical phenomena which could potentially be observed and, thereby, the theory could be tested.…”

mentioning

confidence: 99%

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Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence

Bolokhov

2023

Preprint

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We show that perturbations of a scalar field in the background of the black hole obtained with the Starobinsky-Bel-Robinson Gravity is unstable unless the dimensionless coupling $\beta$ describing the compactification of M-theory is small enough. In the sector of stability quasinormal spectrum show peculiar behavior both in the frequency and time domains: the ringing consists of two stages where two different modes dominate. The WKB method does not reproduce part of the spectrum including the fundamental mode, which is responsible for the first stage of the ringing. Consequently, the correspondence between the eikonal quasinormal modes and null geodesics allows to reproduce only part of the eikonal spectrum. The frequencies are obtained with the help of three methods (Frobenius, WKB and time-domain integration) with excellent agreement among them.

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Section: Discussionmentioning

confidence: 77%

Section: The Metricmentioning

confidence: 99%

mentioning

confidence: 99%

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Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence

Bolokhov

2023

Preprint

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“…The Starobinsky gravity model [58], one of the first f(R) models, is perfectly compatible with cosmological inflation [59]. In 2022, Ketov extended this model perturbatively with quartic curvature terms that are structurally connected to the Bel-Robinson tensor [60,61] in four dimensions [62]. Subsequently, Delgado et al derived the Schwarzschild-type black hole metric [63] and examined its thermal properties.…”

Section: Introductionmentioning

confidence: 99%

Black hole shadows in Einstein-Bel-Robinson gravity*

Hamil,

Lütfüoğlu

2024

Chinese Phys. C

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Gravity models given by higher-order scalar curvature corrections are believed to bear important consequences. The Einstein-Bel-Robinson gravity, with quartic curvature modification, motivated Sajadi et al to explore static spherically symmetric black hole solutions with perturbative methods. In this paper, inspired by their work, we investigate AdS black hole shadows in EBR gravity. Moreover, we demonstrate how the gravity parameter alters the energy emission rate. Finally, we handle the same problem in the presence of plasma, since the black holes are thought to be surrounded by a medium that changes the geodesic of photons.

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“…In particular, the D-shapes and the cardioid shapes have been found for rotating black holes [12]. Inspired by such activities, models supported by M-theory gravities have been also approached [14,15]. Precisely, the shadows and the deflection angle of the light rays near to the black holes in the Starobinsky Bel-Robinson gravity have been discussed by introducing a new stringy parameter β [16].…”

Section: Introductionmentioning

confidence: 99%

On stability behaviors of 5D M-theory black objects

Belhaj,

Bouhouch

2024

Commun. Theor. Phys.

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Using $N = 2$ supergravity formalism, we investigate certain behaviors of five dimensional black objects from the compactification of M-theory on a Calabi-Yau three-fold. The manifold has been constructed as the intersection of two homogeneous polynomials of degrees $ (\omega+2,1)$ and $ (2,1) $ in a product of two weighted projective spaces given by $ \mathbb{WP}^{4}(\omega,1,1,1,1) \times\mathbb{P}^{1}$. First, we determine the allowed electric charge regions of the BPS and non BPS black holes obtained by wrapping M2-branes on appropriate two cycles in such a proposed Calabi-Yau three-fold. After that, we calculate the entropy of these solutions which takes a maximal value corresponding to $\omega=1$ defining the ordinary projective space $\mathbb{P}^{4}$. For generic values of $\omega$, we show that the non BPS states are unstable. Then, we conduct a similar study of five dimensional black strings. Concerning the allowed magnetic charge regions of the BPS and non BPS black stringy solutions derived from M5-branes on dual divisors, we calculate the tension taking a minimal value for $\mathbb{P}^{4}$. By determining the recombination factor, we show that the non-BPS black string states are stable in the allowed regions in the magnetic charge space. 

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Schwarzschild-type black holes in Starobinsky-Bel-Robinson gravity

Cited by 17 publications

References 11 publications

Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence

Black Holes in Starobinsky-Bel-Robinson Gravity and the Breakdown of Quasinormal Modes/Null Geodesics Correspondence

Black hole shadows in Einstein-Bel-Robinson gravity*

On stability behaviors of 5D M-theory black objects

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