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Bardeen-Kiselev black hole with cosmological constant

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arxiv 2203.04965 v2 pith:HT5ATN7Z submitted 2022-03-09 gr-qc

Bardeen-Kiselev black hole with cosmological constant

classification gr-qc
keywords solutionanalyzeconstantcosmologicalphasequantitiessomethermodynamic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we analyze a solution that mimics the Bardeen solution with a cosmological constant surrounded by quintessence. We show that this solution can be obtained by Einstein equations coupled with nonlinear electrodynamics. We also show that the solution is not always regular and what the conditions for regularity are. We analyze the thermodynamics associated with this type of solution by establishing the form of the Smarr formula and the first law of thermodynamics. We obtain some thermodynamic quantities such as pressure, temperature, heat capacity and isothermal compressibility. Once we have these thermodynamic quantities, we check if this solution has phase transitions and how it behaves at the points where the transitions occur. For some values of the parameters, we find that the solution exhibits a first-order phase transition, like a van der Waals fluid.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On regular black string spacetimes in nonlinear electrodynamics

    gr-qc 2026-03 unverdicted novelty 6.0

    No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.

  2. On regular black string spacetimes in nonlinear electrodynamics

    gr-qc 2026-03 conditional novelty 6.0

    For cylindrical black strings, NED Lagrangians with a Maxwell weak-field limit cannot produce regular purely electric or dyonic cores; regular magnetic Bardeen/Hayward analogues exist but violate causality near the axis.

  3. Roche limit and stellar disruption in the Simpson--Visser spacetime

    gr-qc 2026-01 unverdicted novelty 5.0

    Tidal forces in the Simpson-Visser spacetime produce Roche radii for stars that depend on observer type and regularization, with some disruptions occurring outside the event horizon for supermassive black holes.