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.
Exact traversable wormhole solution in bumblebee gravity
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abstract
In this study, we found a new traversable wormhole solution in the framework of a bumblebee gravity model. With these types of models, the Lorentz symmetry violation arises from the dynamics of a bumblebee vector field that is non-minimally coupled with gravity. To this end, we checked the wormhole's flare-out and energy (null, weak, and strong) conditions. We then studied the deflection angle of light in the weak limit approximation using the Gibbons-Werner method. In particular, we show that the bumblebee gravity effect leads to a non-trivial global topology of the wormhole spacetime. By using the Gauss-Bonnet theorem (GBT), it is shown that the obtained non-asymptotically flat wormhole solution yields a topological term in the deflection angle of light. This term is proportional to the coupling constant, but independent from the impact factor parameter. Significantly, we showed that the bumblebee wormhole solutions, under specific conditions, support the normal matter wormhole geometries.
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Ten new exact vacuum solutions, including black holes with zero entropy, arise in extended bumblebee gravity because varying the action and imposing the vector VEV constraint do not commute.
Wormholes with b(r) = r0 tanh(r)/tanh(r0) in f(R) = R + α R^m - β R^{-n} gravity have energy conditions, EOS parameter, and anisotropy computed across parameter cases.
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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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New Exact Vacuum Solutions in Extended Bumblebee Gravity
Ten new exact vacuum solutions, including black holes with zero entropy, arise in extended bumblebee gravity because varying the action and imposing the vector VEV constraint do not commute.
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Non violation of energy conditions in wormholes modelling
Wormholes with b(r) = r0 tanh(r)/tanh(r0) in f(R) = R + α R^m - β R^{-n} gravity have energy conditions, EOS parameter, and anisotropy computed across parameter cases.