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

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arxiv 0802.1757 v2 pith:74S25NJU submitted 2008-02-13 gr-qc

Wontae Kim , Edwin J. Son , Myungseok Yoon This is my paper · ORCID
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keywords blackholenoncommutativethermodynamicreissner-nordstranalogousbehaviorcavity
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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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  1. On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The smeared-charge Reissner-Nordström metric used in noncommutative black hole papers is not a full solution of Einstein's equations unless the electromagnetic stress tensor is modified by hand.

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