Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures

Jha, Sohan Kumar; Barman, Himangshu; Rahaman, A.

doi:10.1088/1475-7516/2021/04/036

“…This study also explored three classical tests viz., the advance of perihelion, bending of light and Shapiro's time delay, and showed that corrections from Lorentz violation were present even in the absence of a massive gravitational source and the Lorentz violation background deforms the spacetime. In another study, particle motion in Snyder noncommutative spacetime structures was studied in the presence of Lorentz violation [13].…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes and Hawking radiation sparsity of GUP corrected black holes in bumblebee gravity with topological defects

Gogoi

¹

,

Goswami

²

2022

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

We have obtained the Generalized Uncertainty Principle (GUP) corrected de Sitter and anti-de Sitter black hole solutions in bumblebee gravity with a topological defect. We have calculated the scalar, electromagnetic and gravitational quasinormal modes for the both vanishing and non-vanishing effective cosmological constant using Padé averaged sixth order WKB approximation method. Apart from this, the time evolutions for all three perturbations are studied, and quasinormal modes are calculated using the time domain profile. We found that the first order and second order GUP parameters α and β, respectively have opposite impacts on the quasinormal modes. The study also finds that the presence of a global monopole can decrease the quasinormal frequencies and the decay rate significantly. On the other hand, Lorentz symmetry violation has noticeable impacts on the quasinormal frequencies and the decay rate. We have studied the greybody factors, power spectrum and sparsity of the black hole with the vanishing effective cosmological constant for all the three perturbations. The presence of Lorentz symmetry breaking and the GUP parameter α decrease, while other GUP parameter β and the presence of global monopole increase the probability of Hawking radiation to reach the spatial infinity. The presence of Lorentz violation can make the black holes less sparse, while the presence of a global monopole can increase the sparsity of the black holes. Moreover, we have seen that the black hole area quantization rule is modified by the presence of Lorentz symmetry breaking.

show abstract

“…and C l are the complex numbers which can be found according to the boundary condition in equation (13). In figures 4 and 5, the transmission and reflection coefficients are displayed, respectively, for various values of the Lorentz-violating parameter and multipole numbers.…”

Section: The Wkb Methodsmentioning

confidence: 99%

“…However, despite the non-Riemannian background, most studies in bumblebee gravity, for example, have been conducted within the metric approach of gravity, where the metric is the only dynamical geometric field. These investigations focus on obtaining exact solutions for different models that incorporate LSB in curved spacetimes, including bumblebee gravity [6][7][8][9][10][11][12][13], parity-violating models [14][15][16][17][18], and Chern-Simons modified gravity [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Gravitational traces of bumblebee gravity in metric–affine formalism

Araújo Filho,

Hassanabadi,

Heidari

et al. 2024

Class. Quantum Grav.

10

0

View full text Add to dashboard Cite

This work explores various manifestations of bumblebee gravity within the metric--affine formalism. We investigate the impact of the Lorentz violation parameter, denoted as $X$, on the modification of the \textit{Hawking} temperature. Our calculations reveal that as $X$ increases, the values of the \textit{Hawking} temperature attenuate. To examine the behavior of massless scalar perturbations, specifically the \textit{quasinormal} modes, we employ the WKB method. The transmission and reflection coefficients are determined through our calculations. The outcomes indicate that a stronger Lorentz--violating parameter results in slower damping oscillations of gravitational waves. To comprehend the influence of the \textit{quasinormal} spectrum on time--dependent scattering phenomena, we present a detailed analysis of scalar perturbations in the time--domain solution. Additionally, we conduct an investigation on shadows, revealing that larger values of $X$ correspond to larger shadow radii. Furthermore, we constrain the magnitude of the shadow radii using the EHT horizon--scale image of $Sgr A^*$. Finally, we calculate both the time delay and the deflection angle.

show abstract

“…These solutions allow to study various aspects of the role of spontaneously LSB on the physics of compact objects, such as black holes and wormholes (e.g, see Refs. [28][29][30][31][32][33][34][35][36][37][38][39]). It would be interesting to mention that the study of causality in Lorentz-violating models is a relevant topic.…”

Section: Introductionmentioning

confidence: 99%

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

Khodadi

¹

,

Lambiase

²

,

Mastrototaro

³

2023

View full text Add to dashboard Cite

The study of neutrino pair annihilation into electron-positron pairs ($$\nu {\bar{\nu }}\rightarrow e^-e^+$$ 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 $$\nu {\bar{\nu }}$$ ν ν ¯ -annihilation efficiency. For both profiles, we find that positive values of LSB parameter $$l>0$$ 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 $$l-a$$ l - a ($$a^2\ll 1$$ a 2 ≪ 1 ), some allowed ranges for the LSB parameter l.

show abstract

Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures

Cited by 17 publications

References 59 publications

Quasinormal modes and Hawking radiation sparsity of GUP corrected black holes in bumblebee gravity with topological defects

Quasinormal modes and Hawking radiation sparsity of GUP corrected black holes in bumblebee gravity with topological defects

Gravitational traces of bumblebee gravity in metric–affine formalism

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

Contact Info

Product

Resources

About