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• W3004696629 abstract "We investigate instabilities of $F(R)$-charged ${mathrm{AdS}}_{4}$ black holes by a massive charged scalar field in a linear perturbation regime. We study tachyonic instabilities as the near horizon scalar condensation in a model of $F(R)$ gravity with planar horizon and investigate properties of possible phase transitions. The results show that such transitions are sensitive to the first derivative of $F(R)$ with respect to $R$ in that the larger its value, the higher the critical temperature, thus resulting in a new generation of high-temperature superconductors. Also, for a certain range of parameters, $F(R)$-charged ${mathrm{AdS}}_{4}$ black holes suffer from superradiant instability. We consider the effects of the scalar mass and charge on such instabilities and conclude that Reissner-Nordstrom (RN) black holes decay into small hairy black holes that have a charged scalar condensate floating near the horizon. It is shown that the existence of phase transition at the critical temperature leading to a hairy black hole solution emerges for $T<{T}_{c}$, while RN black holes exist for $T>{T}_{c}$. The effect of $F(R)$ on the critical temperature is subsequently investigated in the case of superradiant instability, showing that higher critical temperatures would be possible in $F(R)$ gravity. We also check the stability of hairy black holes and show that the resulting hairy solution can be considered as a possible endpoint of superradiant instability of a small charged black hole." @default.
• W3004696629 created "2020-02-14" @default.
• W3004696629 creator A5051510744 @default.
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• W3004696629 date "2020-04-15" @default.
• W3004696629 modified "2023-09-26" @default.
• W3004696629 title "Thermal phase transition in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>F</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> -charged <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> scalar theory" @default.
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• W3004696629 doi "https://doi.org/10.1103/physrevd.101.084036" @default.
• W3004696629 hasPublicationYear "2020" @default.
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