Black holes with a cosmological constant in bumblebee gravity
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Abstract
In this work, we present black hole solutions with a cosmological constant in\nbumblebee gravity, which provides a mechanism for the Lorentz symmetry\nviolation by assuming a nonzero vacuum expectation value for the bumblebee\nfield. From the gravitational point of view, such solutions are spherically\nsymmetric black holes with an effective cosmological constant and are supported\nby an anisotropic energy-momentum tensor, conceived of as the manifestation of\nthe bumblebee field in the spacetime geometry. Then we calculate the shadow\nangular radius for the proposed black hole solution with a positive effective\ncosmological constant. In particular, our results are the very first relation\nbetween the bumblebee field and the shadow angular size.\n