Bumblebee gravity perturbations decouple exactly into gravitational and vector sectors, with gravitational modes dynamically immune to Lorentz violation and odd-even parities strictly isospectral.
Polarizations of Gravitational Waves in the Bumblebee Gravity Model
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
abstract
Lorentz violation modifies the dispersion relation of gravitational waves (GWs), and induces birefringence and anisotropy in propagation. Our study shows that Lorentz violation can also activate multiple polarizations of GWs. We use the gauge invariants to investigate the polarizations of GWs in the bumblebee gravity model, and obtain the following results. (i) For a vector background $b^\mu$ with only a nonzero temporal component $b^t$, there are five independent propagating degrees of freedom (DOFs), which is simlar to the Einstein-aether theory. (ii) The presence of a spatial component in the background defines a preferred spatial direction which breaks rotational symmetry. We denote $\hat{\bf b}$ as the direction of the spatial part of the background and $b_s$ as its length. If GWs propagate along $\hat{\bf b}$, the polarization content is similar to the purely timelike case. (iii) If the propagation direction of GWs is separated by an angle $\beta$ to $\hat{\bf b}$, and $\beta=\arccos(b^t/b_s)$, there are only two tensor polarizations. (iv) If $\beta\neq \arccos(b^t/b_s)$, there are only two independent DOFs, and the vector and scalar modes degenerate with the tensor modes. The tensor perturbations can activate a mixture of all six polarizations simultaneously. Finally, we point out the difference in GWs between the bumblebee gravity model and the minimal Standard-Model Extension framework in the linearized regime. Current observations have placed stringent constraints on the anisotropy induced by the background, while our theoretical study still reveals some novel phenomena and provides more understanding about the interaction between the Lorentz-violating vector field and gravity.
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background 2representative citing papers
Bumblebee gravity enhances primordial black hole abundance through three mechanisms, but the model harbors a ghost instability and a tachyonic instability that make it cosmologically unviable.
Exact solutions for asymptotically flat black holes in bumblebee gravity with temporal bumblebee field, analytic Y charge and X potential, and discovery of new cases including unbounded charge-mass ratio and wormhole configurations.
Derives boost transformations for GW polarizations, proposes symmetry classification without preferred frames, and analyzes preferred-frame effects in Bumblebee gravity including novel polarization conversion.
Bumblebee gravity is self-consistent in PPN up to 1.5PN order only for λ = −ξ/2, producing non-zero α1, α2, a logarithmic U_B potential, and a pulsar-timing bound |ℓ| ≲ 1.6×10^{-9}.
Residuals after subtracting best-fit waveforms from GWTC-3 events show no significant deviation from noise according to three standard goodness-of-fit tests.
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
citing papers explorer
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Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality
Bumblebee gravity perturbations decouple exactly into gravitational and vector sectors, with gravitational modes dynamically immune to Lorentz violation and odd-even parities strictly isospectral.
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Primordial black hole in Lorentz-violating theories: Insights from Bumblebee gravity
Bumblebee gravity enhances primordial black hole abundance through three mechanisms, but the model harbors a ghost instability and a tachyonic instability that make it cosmologically unviable.
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Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics
Exact solutions for asymptotically flat black holes in bumblebee gravity with temporal bumblebee field, analytic Y charge and X potential, and discovery of new cases including unbounded charge-mass ratio and wormhole configurations.
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Reference Frames and Gravitational-Wave Polarizations: Symmetry Classification and Preferred-Frame Phenomenology
Derives boost transformations for GW polarizations, proposes symmetry classification without preferred frames, and analyzes preferred-frame effects in Bumblebee gravity including novel polarization conversion.
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Dynamic Aspects of Bumblebee Gravity: Post-Newtonian Approach
Bumblebee gravity is self-consistent in PPN up to 1.5PN order only for λ = −ξ/2, producing non-zero α1, α2, a logarithmic U_B potential, and a pulsar-timing bound |ℓ| ≲ 1.6×10^{-9}.
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Residual Test for the Third Gravitational-Wave Transient Catalog
Residuals after subtracting best-fit waveforms from GWTC-3 events show no significant deviation from noise according to three standard goodness-of-fit tests.
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The Science of the Einstein Telescope
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.