Bumblebee gravity perturbations decouple exactly into gravitational and vector sectors, with gravitational modes dynamically immune to Lorentz violation and odd-even parities strictly isospectral.
Exact Kerr-Newman-(A)dS and other spacetimes in bumblebee gravity: employing a simple generating technique
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In this work, we show that if the bumblebee field in the Einstein-bumblebee theory is given by its vacuum expectation value ($B_{\mu}=b_{\mu}$) and it is not dynamical ($\partial_{\mu}B_{\nu}-\partial_{\nu}B_{\mu}=0$), then these conditions uniquely provide a generating technique, allowing us to construct exact solutions to bumblebee gravity from the vacuum solutions by adding a term $\sim b_{\mu}b_{\nu}$ to the metric tensor (thus proving the uniqueness of the method, presented in [Eur. Phys. J. C 82 (2022) 613]). Also, we show that the bumblebee field within this technique is proportional to the tangential vector of the (timelike or spacelike) geodesic curve in the background vacuum spacetime, and can be easily found knowing the solution to the Hamilton--Jacobi equation. Moreover, we prove that this technique can be extended to the case of any non-zero cosmological constant and the presence of the electromagnetic field. We apply this generating technique and obtain the bumblebee extension of the Kerr--Newman--Taub-NUT--(anti-)de Sitter spacetime. We show that this extension is not unique, as it depends on the exact geodesic curve one chooses to associate a bumblebee field with. Then, by considering various special cases of this generic solution, we demonstrate that the condition of the global reality of the bumblebee field limits the set of geodesics with which we can associate it.
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Constructs Lorentz-violating regular black holes in Einstein gravity using a minimally coupled nonlinear electrodynamics dark sector that enforces regular cores and conical Lorentz-violating asymptotics.
Bumblebee gravity coupled to NLED yields charged black hole solutions that become regular and horizonless when mass and charge are tuned to specific functions of the couplings.
Rotating black holes with a nonminimally coupled Lorentz-violating background act as optical diodes by producing direction-dependent shadows that morph from quasi-symmetric to teardrop upon path reversal.
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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Lorentz-Violating (Regular) Black Holes in Einstein Gravity
Constructs Lorentz-violating regular black holes in Einstein gravity using a minimally coupled nonlinear electrodynamics dark sector that enforces regular cores and conical Lorentz-violating asymptotics.
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When Bumblebee Meets NLED: Lorentz-Violating Black Holes and Regular Spacetimes
Bumblebee gravity coupled to NLED yields charged black hole solutions that become regular and horizonless when mass and charge are tuned to specific functions of the couplings.
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Macroscopic Optical Nonreciprocity: A Black Hole as an Optical Diode
Rotating black holes with a nonminimally coupled Lorentz-violating background act as optical diodes by producing direction-dependent shadows that morph from quasi-symmetric to teardrop upon path reversal.