Scholarlink

<p>This work investigates the thermodynamic and topological properties of rotating black holes (BHs) in Lorentz-violating gravity. By analyzing the Hawking temperature and heat capacity as functions of the horizon radius, we identify second-order phase transitions and clearly distinguish thermodynamically stable regions from unstable ones. To investigate the critical behavior of the system, several thermodynamic geometry formalisms, such as the Ruppeiner, Hendi–Panahiyan–Eslam Panah–Momennia (HPEM), Weinhold, and Quevedo metrics (Cases I and II) are applied. Our analysis reveals that the scalar curvature of HPEM, Ruppeiner, and Quevedo metrics are in excellent agreement with the zeros of heat capacity and successfully capture the phase transition structure of the BH system. Furthermore, we uncover the topological aspects of BH thermodynamics through phase-space diagrams that expose the existence of non-trivial topological structures. BHs can be interpreted as topological defects in the thermodynamic phase space spanned by variables such as temperature and pressure. One can compute the corresponding winding numbers by exploring these defects at both local and global levels and locate a topological charge that takes discrete values <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(+1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>+</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>, 0, or <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(-1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. Overall, our findings will provide important information about the interplay between thermodynamics, geometry, and topology in rotating BHs within modified gravity theories and may offer valuable constraints on models that incorporate Lorentz symmetry violation.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Geometrical and topological aspects of rotating black holes thermodynamics in Lorentz-violating gravity

  • 期刊论文

  • 发表日期：

    2026年8月5日

查看全文
  • Aqsa Mehmood,
  • A. Alkaoud,
  • M. Umair Shahzad,
  • Rafda Rafiq,
  • Abdul Malik Sultan,
  • A. Eid

摘要

This work investigates the thermodynamic and topological properties of rotating black holes (BHs) in Lorentz-violating gravity. By analyzing the Hawking temperature and heat capacity as functions of the horizon radius, we identify second-order phase transitions and clearly distinguish thermodynamically stable regions from unstable ones. To investigate the critical behavior of the system, several thermodynamic geometry formalisms, such as the Ruppeiner, Hendi–Panahiyan–Eslam Panah–Momennia (HPEM), Weinhold, and Quevedo metrics (Cases I and II) are applied. Our analysis reveals that the scalar curvature of HPEM, Ruppeiner, and Quevedo metrics are in excellent agreement with the zeros of heat capacity and successfully capture the phase transition structure of the BH system. Furthermore, we uncover the topological aspects of BH thermodynamics through phase-space diagrams that expose the existence of non-trivial topological structures. BHs can be interpreted as topological defects in the thermodynamic phase space spanned by variables such as temperature and pressure. One can compute the corresponding winding numbers by exploring these defects at both local and global levels and locate a topological charge that takes discrete values \(+1\) + 1 , 0, or \(-1\) - 1 . Overall, our findings will provide important information about the interplay between thermodynamics, geometry, and topology in rotating BHs within modified gravity theories and may offer valuable constraints on models that incorporate Lorentz symmetry violation.