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

An exact black hole spacetime with scalar field and its shadow together with quasinormal modes