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Constructing black holes in Einstein–Maxwell-scalar theory

Shuang YuNational Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, People’s Republic of ChinaJianhui QiuNational Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, People’s Republic of ChinaChangjun GaoNational Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, People’s Republic of China
2021en
ABI

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Abstract Exact black hole solutions in the Einstein–Maxwell-scalar theory are constructed. They are the extensions of dilaton black holes in de Sitter or anti de Sitter universe. As a result, except for a scalar potential, a coupling function between the scalar field and the Maxwell invariant is present. Then the corresponding Smarr formula and the first law of thermodynamics are investigated.

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