Stability analysis of black holes via a catastrophe theory and black hole thermodynamics in generalized theories of gravity

Physics

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Physics Of Black Holes, Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime, Thermodynamic Processes, Conduction, Convection, Equations Of State, Black Holes

Scientific paper

We perform a linear perturbation analysis for black hole solutions with a “massive” Yang-Mills field (the Proca field) in Brans-Dicke theory and find that the results are quite consistent with those via catastrophe theory where thermodynamic variables play an intrinsic role. Based on this observation, we show the general relation between these two methods in generalized theories of gravity which are conformally related to the Einstein-Hilbert action.

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