I am looking for the thermodynamics of the cosmological black hole in scalar-tensor-vector gravity theories. I know how should I write and find the thermodynamical quantities and equations for such a black hole, but I do not know that can I use the Bekenstein-Hawking area law or in this framework, I should find a modified version of it. I looked for it in literature and found out that some authors have said that in this framework, we should find a modified version of this law, and an author has said that we should use the ordinary form of the law. So, what should I do?

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