Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 80, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-020-7743-y
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Funding
- National Natural Science Foundation (NNSFC) of China [11247013]
- Hunan Provincial Natural Science Foundation of China [2015JJ2085]
- Scientific Research Fund of the Hunan Provincial Education Department [19A257]
- CAPES (Brazilian agency)
- CNPq (Brazilian agency)
- FAPEMA (Brazilian agency)
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We obtain an exact Kerr-like black hole solution by solving the corresponding gravitational field equations in Einstein-bumblebee gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation value. Results are presented for the purely radial Lorentz symmetry breaking. In order to study the effects of this breaking, we consider the black hole shadow and find that the radial of the unstable spherical orbit on the equatorial plane rc decreases with the Lorentz breaking constant l>0, and increases with l<0. These shifts are similar to those of Einstein-aether black hole. The effect of the LV parameter on the black hole shadow is that it accelerates the appearance of shadow distortion, and could be detected by the new generation of gravitational antennas.
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