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Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordstr\"om black hole

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abstract

We study thermodynamic quantities and examine the stability of a black hole in a cavity inspired by the noncommutative geometry. It turns out that thermodynamic behavior of the noncommutative black hole is analogous to that of the Reissner-Nordstr\"om black hole in the near extremal limit. Moreover, we identify the noncommutative parameter with the squared electric charge with some constants.

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2025 1

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