Exact Schwarzschild-like solution in a bumblebee gravity model

We obtain an exact vacuum solution from the gravity sector contained in the minimal standard-model extension. The theoretical model assumes a Riemann spacetime coupled to the bumblebee field which is responsible for the spontaneous Lorentz symmetry breaking. The solution achieved in a static and spherically symmetric scenario establishes a Schwarzschild-like black hole. In order to study the effects of the spontaneous Lorentz symmetry breaking we investigate some classic tests, including the advance of perihelion, the bending of light, and Shapiro’s time delay. Furthermore, we compute some upper bounds, among which the most stringent associated with existing experimental data provides a sensitivity at the 10-15 level and that for future missions at the 10-19 level.

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10 Latex2e pages

gravitation: model
vacuum: solution
standard model: minimal
space-time: Riemann
symmetry: rotation
symmetry breaking
Lorentz
sensitivity
black hole
time delay

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