We find an exact black hole solution with a minimally coupled scalar field. The corresponding spacetime has two horizons and one of them is the black hole event horizon and the other is the cosmic horizon. In this sense, the solution is analogous to the Schwarzschild-de Sitter (or anti-de Sitter) spacetime. We investigate the thermodynamics and construct the first law of thermodynamics. At the same time, we make a study on the shadow and quasinormal modes of this black hole solution.

中文翻译：

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具有标量场及其阴影以及准正规模式的精确黑洞时空

我们找到了具有最小耦合标量场的精确黑洞解。对应的时空有两个视界，一个是黑洞事件视界，另一个是宇宙视界。从这个意义上说，解决方案类似于史瓦西-德西特（或反德西特）时空。我们研究热力学并构建热力学第一定律。同时，我们对这个黑洞解的阴影模和拟正规模进行了研究。