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<p>We consider the effects of Lorentz-breaking and dark energy by introducing both into the action of scalar and spinor field. Through the variational principle, we derive modified dynamic equations for bosons and fermions expressed in Hamilton-Jacobi-like forms. Focusing on a non-rotating KSK black hole surrounded by holographic quintessence, a configuration inspired by Kiselev and Kazakov-Solodukhin’s theoretical frameworks, we investigate the quantum tunneling rates of bosons and fermions at the event horizon of the black hole. The modified Hawking temperature and Bekenstein-Hawking entropy of this black hole are systematically examined. Our analysis reveals how dark energy parameters and Lorentz-violation coefficients influence the thermodynamic quantities, thereby enriching the understanding of black hole thermodynamics. This study provides new insights into the interplay between quantum effects, spacetime symmetry breaking, and dark energy in black hole physics.</p>

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Study on the temperature and entropy of KSK black holes

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Huiying Wang,
  • Menquan Liu

摘要

We consider the effects of Lorentz-breaking and dark energy by introducing both into the action of scalar and spinor field. Through the variational principle, we derive modified dynamic equations for bosons and fermions expressed in Hamilton-Jacobi-like forms. Focusing on a non-rotating KSK black hole surrounded by holographic quintessence, a configuration inspired by Kiselev and Kazakov-Solodukhin’s theoretical frameworks, we investigate the quantum tunneling rates of bosons and fermions at the event horizon of the black hole. The modified Hawking temperature and Bekenstein-Hawking entropy of this black hole are systematically examined. Our analysis reveals how dark energy parameters and Lorentz-violation coefficients influence the thermodynamic quantities, thereby enriching the understanding of black hole thermodynamics. This study provides new insights into the interplay between quantum effects, spacetime symmetry breaking, and dark energy in black hole physics.