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

Abstract

The study of neutrino pair annihilation into electron-positron pairs ($\nu \bar{\nu }\to e^{-}{e}^{+}$) 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 $\nu \bar{\nu }$-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 $l-a$ ($a^2\ll 1$), some allowed ranges for the LSB parameter $l$.

12 pages (two columns), 4 figures, 1 table, accepted for publication in EPJC

References in corpus (15)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• Neutrino-Cooled Accretion Disks around Spinning Black Hole
• A Parallax Distance to the Microquasar GRS 1915+105 and a Revised Estimate of its Black Hole Mass
• The ultra-long Gamma-Ray Burst 111209A: the collapse of a blue supergiant?
• Black holes with a cosmological constant in bumblebee gravity
• Neutrino pair annihilation near accreting, stellar-mass black holes
• Tests of Lorentz symmetry in the gravitational sector
• Cosmological implications of Bumblebee vector models
• Magnetic Reconnection and Energy Extraction from a Spinning Black Hole with Broken Lorentz Symmetry
• Black Hole Superradiance in the Presence of Lorentz Symmetry Violation
• Testing the neutrino annihilation model for launching GRB jets
• Astrophysical Constraints on the Bumblebee Model
• Comment on "Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model"
• A General Relativistic study of the neutrino path and calculation of minimum photosphere for different stars
• Efficiency of Neutrino Annihilation around Spinning Black Holes

Cited by in corpus (12)

• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Dark matter spike around Bumblebee black holes
• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• How does non-metricity affect particle creation and evaporation in bumblebee gravity?
• Influence of a Kalb-Ramond black hole on neutrino behavior
• Rotating Black Hole in Kalb-Ramond Gravity: Constraining Parameters by Comparison with EHT Observations of Sgr A* and M87*
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Quasinormal Modes, Grebody Factors, and Hawking Radiation Sparsity of Black Holes Influenced by a Global Monopole Charge in Kalb-Ramond Gravity
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• Accretion of matter of a new bumblebee black hole
• Primordial observables of explicit diffeomorphism violation in gravity