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August 23, 2026International Journal of Modern Physics A

Hairy Kiselev black hole with quintessential matter: thermodynamic properties, sparsity of Hawking radiation, and greybody factors

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Authors

FAFaizuddin AhmedFBFernando M. BelchiorAMAllan R. P. Moreira

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Overview

Theoretical analysis demonstrates horizon-dependent phase transitions and intermittent Hawking radiation in hairy quintessential black holes, highlighting complex gravitational dynamics.

Key Points

  • Investigate the thermodynamic properties, Hawking radiation emission sparsity, and scalar perturbation behavior of a hairy Kiselev black hole surrounded by quintessential matter and a cosmological constant.
  • Derived black hole horizon structures, Hawking temperature, heat capacity, and Gibbs free energy incorporating exponential hair scales and quintessential fluid parameters.
  • Calculated Hawking radiation emission sparsity as a function of temperature, effective emitting area, and greybody factor bounds.
  • Modeled massless scalar perturbations by transforming the Klein-Gordon equation into a Schrödinger-like radial differential equation with an effective potential barrier.
  • Exponential hair modifications primarily alter the small-horizon regime, while the quintessential fluid and cosmological constant dictate large-scale thermodynamic behavior.
  • Heat capacity profiles show distinct divergences marking second-order phase transitions, and Gibbs free energy displays multiple competing thermodynamic branches.
  • Hawking radiation emission operates in a highly intermittent, sparse regime rather than as a steady, continuous particle flux.

Cite This Study

Ahmed et al. (2026) studied this question.

synapsesocial.com/papers/6a8acec27677a341144477bchttps://doi.org/10.1142/s0217751x26501691
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