We study the characteristics of the quantum tunneling radiation of scalar bosons in the stationary Kerr-anti-de Sitter black hole based on Lorentz symmetry violation theory. First, the Klein-Gordon equation and Hamilton-Jacobi equation of bosons that are corrected by Lorentz symmetry violation theory in curved space-time are obtained. After solving the corrected dynamic equation of bosons, it is shown that the Lorentz-violating theory has an effect on the stationary Kerr-anti-de Sitter black hole's Hawking tunneling radiation rate, temperature and entropy. At last, some comments are made on the results of our work.

中文翻译：

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静止轴对称黑洞的玻色子霍金隧道辐射的洛伦兹对称破坏和精确校正

我们基于洛伦兹对称破坏理论研究了静止克尔-反德西特黑洞中标量玻色子的量子隧穿辐射特性。首先，得到弯曲时空下洛伦兹对称破坏理论修正的玻色子的Klein-Gordon方程和Hamilton-Jacobi方程。求解修正后的玻色子动力学方程后，表明洛伦兹违反理论对静止的克尔-反德西特黑洞的霍金隧道辐射率、温度和熵有影响。最后，对我们的工作成果发表了一些意见。