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<p>This paper investigates the repetitive Penrose process in Konoplya-Zhidenko rotating non-Kerr black hole, exploring the influence of the deformation parameter on the repetitive Penrose process. After a brief review of the Konoplya-Zhidenko rotating non-Kerr black hole, we study the fundamental equations of the Penrose process in this spacetime, examine the iterative stopping conditions required for the repetitive Penrose process, and obtain the corresponding numerical results. It is concluded that, in addition to previously observed phenomena, under the same decay radius, a larger initial dimensionless deformation parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\hat \eta}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mrow> <mover> <mi>η</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> </math></EquationSource> </InlineEquation> leads to greater values of the energy return on investment and energy utilization efficiency, particularly at higher decay radii. Furthermore, a smaller initial <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\hat \eta}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mrow> <mover> <mi>η</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> </math></EquationSource> </InlineEquation> results in a larger maximum value of the energy return on investment. For energy utilization efficiency, the initial <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\hat \eta}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mrow> <mover> <mi>η</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> </math></EquationSource> </InlineEquation> should take an intermediate value to maximize its peak. Additionally, we find that a larger initial <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({\hat \eta}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mrow> <mover> <mi>η</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> </math></EquationSource> </InlineEquation> corresponds to a smaller maximum value of the extracted energy.</p>

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Repetitive Penrose process in Konoplya-Zhidenko rotating non-Kerr black holes

  • 期刊论文

  • 发表日期：

    2026年5月22日

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  • Xiao-Xiong Zeng,
  • Dong-Ping Su,
  • Ke Wang

摘要

This paper investigates the repetitive Penrose process in Konoplya-Zhidenko rotating non-Kerr black hole, exploring the influence of the deformation parameter on the repetitive Penrose process. After a brief review of the Konoplya-Zhidenko rotating non-Kerr black hole, we study the fundamental equations of the Penrose process in this spacetime, examine the iterative stopping conditions required for the repetitive Penrose process, and obtain the corresponding numerical results. It is concluded that, in addition to previously observed phenomena, under the same decay radius, a larger initial dimensionless deformation parameter \({\hat \eta}\) η ^ leads to greater values of the energy return on investment and energy utilization efficiency, particularly at higher decay radii. Furthermore, a smaller initial \({\hat \eta}\) η ^ results in a larger maximum value of the energy return on investment. For energy utilization efficiency, the initial \({\hat \eta}\) η ^ should take an intermediate value to maximize its peak. Additionally, we find that a larger initial \({\hat \eta}\) η ^ corresponds to a smaller maximum value of the extracted energy.