New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity

التفاصيل البيبلوغرافية
العنوان: New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
المؤلفون: Fahim, B. H., Ghezelbash, A. M.
سنة النشر: 2024
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology
الوصف: We find a new class of exact solutions for rotating black holes in $f(R)$ gravity in presence of imperfect fluid. We find that the exact solutions are holographically dual to a hidden conformal field theory. Moreover we consider another class of exact solutions for rotating black holes in $f(R)$ gravity, which is obtained through a Lorentz boost transformation on a static spherical symmetry solutions in $f(R)$ gravity. We also find that the boosted exact solutions are holographically dual to a hidden conformal field theory. Comparing the CFT temperatures and the mode numbers of the two CFTs, we suggest a conjecture that, "Two identical rotating black holes (the same mass and the horizon) in $f(R)$ theory could be distinguished by looking at their dual CFT temperatures, and the dual CFT mode numbers. The rotating black hole in the presence of matter has higher CFT temperatures and higher CFT mode numbers, compared to the vacuum boosted rotating black hole".
Comment: 28 pages, 10 figures, typos corrected, references added
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.00095
رقم الأكسشن: edsarx.2402.00095
قاعدة البيانات: arXiv