Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations

Wang, Zejun; Chen, Songbai; Jing, Jiliang

doi:10.48550/arxiv.2112.02895

Cited by 5 publications

(7 citation statements)

References 47 publications

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“…In essence, the sign of l comes from the sign of the nonminimal coupling constant (ξ) between the background bumblebee vector field and gravity. Since there is no consensus in the literature, we deal with both signs negative [36] and positive [22,42]. Given the fact that the BG is a subclass of SME, it is shown that via Parameterized Post-Newtonian (PPN) analysis, the spacelike background bumblebee vector field b µ is matched to dimensionless tensor s µν in SME, see Ref.…”

Section: Modified Slowly Rotating Kerr Black Hole Solution With a Bac...mentioning

confidence: 99%

Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole

Khodadi¹,

Lambiase²,

Mastrototaro³

2023

Preprint

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The study of neutrino pair annihilation into electron-positron pairs (ν ν → e − e + ) is astrophysically well-motivated because it is a possible powering mechanism for the gamma-ray bursts (GRBs). In this paper, we estimate the gamma-ray energy deposition rate (EDR) arising from the annihilation of the neutrino pairs in the equatorial plane of a slowly rotating black hole geometry modified by the broken Lorentz symmetry (induced by a background bumblebee vector field). More specifically, owing to the presence of a dimensionless Lorentz symmetry breaking (LSB) parameter l arising from nonminimal coupling between the bumblebee field with nonzero vacuum expectation value and gravity, the metric solution in question differs from the standard slowly rotating Kerr black hole. By idealizing the thin accretion disk temperature profile in the two forms of isothermal and gradient around the bumblebee gravity-based slow rotating black hole, we investigate the influence of spontaneous LSB on the ν ν-annihilation efficiency. For both profiles, we find that positive values of LSB parameter l > 0 induce an enhancement of the EDR associated with the neutrino-antineutrino annihilation. Therefore, the process of powering the GRBs jets around bumblebee gravity modified slowly rotating geometry is more efficient in comparison with standard metric. Using the observed gamma-ray luminosity associated with different GRBs types (short, long, and ultra-long), we find, through the analysis of the EDR in the parameter space l − a (a 2 1), some allowed ranges for the LSB parameter l.

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Section: Modified Slowly Rotating Kerr Black Hole Solution With a Bac...mentioning

confidence: 99%

Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole

Khodadi¹,

Lambiase²,

Mastrototaro³

2023

Preprint

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show abstract

“…Under a suitable potential, the bumblebee vector field B µ acquires a nonzero vacuum expectation value and induces a spontaneous Lorentz symmetry breaking in the gravitational sector. The action for a single bumblebee field B µ cou-pled to gravity can be described as [14][15][16]…”

Section: A the Field Equationsmentioning

confidence: 99%

“…Note that this static Einstein-Bumblebee solution is an exactly solution without any approximation. From the determinant of the metric (11), in order to maintain the Lorentz signature, the parameter should satisfied > −1 [16]. For the gravitational perturbation of the static Einstein-Bumblebee black hole, the perturbation equation is the same as that in Schwarzschild case, hence the QNM frequencies of the gravitational field are completely independent of the Lorentz-violating parameter .…”

Section: Static Of Bumblebee Modesmentioning

confidence: 99%

QNMs of slowly rotating Einstein-Bumblebee Black Hole

Li¹,

Fang²,

Jing³

et al. 2022

Preprint

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We have studied the quasinormal modes (QNMs) of a slowly rotating black hole with Lorentzviolating parameter in Einstein-bumblebee gravity. We analyse the slow rotation approximation of the rotating black hole in the Einstein-bumblebee gravity, and obtain the master equations for scalar perturbation, vector perturbation and axial gravitational perturbation, respectively. Using the matrix method and the continuous fraction method, we numerically calculate the QNM frequencies. In particular, for scalar field, it shows that the QNMs up to the second order of rotation parameter have higher accuracy. The numerical results show that, for both scalar and vector fields, the Lorentz-violating parameter has a significant effect on the imaginary part of the QNM frequencies, while having a relatively smaller impact on the real part of the QNM frequencies. But for axial gravitational perturbation, the effect of increasing the Lorentz-violating parameter is similar to that of increasing the rotation parameter ã.

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“…In Ref. [27], the authors constrain the Lorentz-violating parameter from the observed frequencies of the quasi-periodic oscillations (QPOs) of the Galactic black hole GRO J1655-40 within the relativistic precession model. Their 1-σ measurement is = −0.10 +0.17 −0.…”

Section: Black Hole Solutionmentioning

confidence: 99%

Probing bumblebee gravity with black hole X-ray data

Riaz

Abdikamalov

et al. 2022

Eur. Phys. J. C

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Bumblebee gravity is one of the simplest gravity theories with spontaneous Lorentz symmetry breaking. Since we know a rotating black hole solution in bumblebee gravity, we can potentially test this model with the available astrophysical observations of black holes. In this work, we construct a reflection model in bumblebee gravity and we use our model to analyze the reflection features of a NuSTAR spectrum of the Galactic black hole EXO 1846-031 in order to constrain the Lorentz-violating parameter $$\ell $$ ℓ . We find that the analysis of the reflection features in the spectrum of EXO 1846-031 cannot constrain the parameter $$\ell $$ ℓ because of a very strong degeneracy between the estimates of $$\ell $$ ℓ and of the black hole spin parameter $$a_*$$ a ∗ . Such a degeneracy may be broken by combining other observations.

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Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations

Cited by 5 publications

References 47 publications

Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole

Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole

QNMs of slowly rotating Einstein-Bumblebee Black Hole

Probing bumblebee gravity with black hole X-ray data

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