Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value
arXiv:2112.04040 · doi:10.1140/epjc/s10052-022-10547-y
Abstract
This work belongs to the context of the standard-model extension, in which a Lorentz symmetry violation is induced by a bumblebee field as it acquires a nonzero vacuum expectation value. The mathematical formulation of a generic bumblebee model and its associated dynamical equations are presented. Then, these equations are considered for the vacuum and a substantial simplification is performed for the particular case of a gradient bumblebee field at its vacuum expectation value. After some further manipulation, a method to easily find solutions to the model is developed, in which the exact effect on the spacetime description due to the presence of this bumblebee field is explicitly provided. As some examples, the method is applied to determine the implications of the bumblebee field on the Schwarzschild spacetime and also on a rotating one. A previously published solution is recovered and some new ones are obtained. In the rotating situation, a simple solution is found which contains both the Kerr solution and the already published one as special cases. It is also shown its distinguished surfaces are still given by the same corresponding expressions for the Kerr solution. In conclusion, the mathematical improvement made is considered to be a significant contribution to the theory as a powerful tool to investigate its many aspects and consequences.
References in corpus (58)
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Gravity, Lorentz Violation, and the Standard Model
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- Signals for Lorentz Violation in Electrodynamics
- Stability, Causality, and Lorentz and CPT Violation
- CPT, Strings, and Meson Factories
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Cosmological Constraints on Lorentz Violation in Electrodynamics
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Matter-gravity couplings and Lorentz violation
- An exact Schwarzschild-like solution in a bumblebee gravity model
- Nonrelativistic Quantum Hamiltonian for Lorentz Violation
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- Testing local Lorentz invariance with gravitational waves
- Cross Sections and Lorentz Violation
- Sensitive polarimetric search for relativity violations in gamma-ray bursts
- Causality and CPT violation from an Abelian Chern-Simons-like term
- Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
- Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
- Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem
- Threshold analyses and Lorentz violation
- GUP Modified Hawking Radiation in Bumblebee Gravity
- Dirac theory within the Standard-Model Extension
- Supersymmetry and Lorentz Violation
- Circular orbit of a particle and weak gravitational lensing
- Photon decay in a CPT-violating extension of quantum electrodynamics
- Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
- Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
- Limits on isotropic Lorentz violation in QED from collider physics
- Spontaneous Lorentz Violation and Nonpolynomial Interactions
- Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
- Quasinormal frequencies for a black hole in a bumblebee gravity
- New Bounds on Isotropic Lorentz Violation
- Lorentz violation in the linearized gravity
- Time-delay and Doppler tests of the Lorentz symmetry of gravity
- One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
- Searching for photon-sector Lorentz violation using gravitational-wave detectors
- CPT and Lorentz violation effects in hydrogen-like atoms
- Matter-gravity scattering in the presence of spontaneous Lorentz violation
- Light-bending tests of Lorentz invariance
- Polarization effects in Kerr black hole shadow due to the coupling between photon and bumblebee field
- Constraint from Lamb Shift and Anomalous Magnetic Moment on Radiatively Induced Lorentz and CPT Violation in Quantum Electrodynamics
- Slowly rotating Einstein-bumblebee black hole solution and its greybody factor in a Lorentz violation model
- Quantum Gravity: A Brief History of Ideas and Some Prospects
- Search for violation of Lorentz invariance in top quark pair production and decay
- Lorentz and CPT Violation in Top-Quark Production and Decay
- Higher order corrections to the hydrogen spectrum from the Standard-Model Extension
- Effects of Lorentz breaking on the accretion onto a Schwarzschild-like black hole
- Reply to "Comment on 'Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model' "
- Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
- One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension
- Constraining CPT-odd nonminimal interactions in the Electroweak sector
- Completing Lorentz violating massive gravity at high energies
- Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale
- Lorentz and CPT violation in the Standard-Model Extension
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- Testing black holes with cosmological constant in Einstein-bumblebee gravity through the black hole shadow using EHT data and deflection angle
- Braneworlds in bumblebee gravity
- Exact Taub-NUT-like Black Holes in Einstein-bumblebee gravity: their thermodynamics and thermodynamic topology
- Probing Lorentz-violating effects via precession and accretion disk images in a rotating bumblebee spacetime
- Cosmology in the presence of diffeomorphism-violating, nondynamical background fields