  We study the gravitation effects on a static and spherically symmetric
spacetime due to the vacuum expectation value (VEV) of a Kalb-Ramond field. The
Kalb-Ramond VEV is a background tensor field which produces a local Lorentz
symmetry breaking (LSB) of spacetime. Considering a non-minimal coupling
between the Kalb-Ramond (VEV) and the Ricci tensor, we obtain an exact
parameter-dependent power-law modified black hole. For a particular choice of
the LSB parameter, the Lorentz violation produces a solution similar to the
Reissner-Nordstrom, despite the absence of charge. The near-horizon geometry is
modified by including a new inner horizon and shifting the Schwarzschild
horizon. Asymptotically, the usual Minkowski spacetime with a background tensor
field is recovered. The vacuum configurations are studied considering the
energy conditions and the Lorentz violating source properties. By means of the
mercury perihelion test, an upper bound to the local Lorentz violation (LV) is
obtained, and its corresponding effects on the black hole temperature is
investigated.
