On the thermal stability of a static spherically symmetric black holes in Nash embedding framework

التفاصيل البيبلوغرافية
العنوان: On the thermal stability of a static spherically symmetric black holes in Nash embedding framework
المؤلفون: Capistrano, Abraão J. S, Gutiérrez-Piñeres, Antonio C., Ulhoa, Sergio C., Amorim, Ronni G. G.
المصدر: Annals of Physics (Print), v. 380, p. 106-120, 2017
سنة النشر: 2015
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: We study the deformation caused by the influence of extrinsic curvature on a vacuum spherically symmetric metric embedded in a five-dimensional bulk. In this sense, we investigate the produced black-holes and derive general characteristics such as their masses, horizons, singularities and thermal properties. As a test, we also study the bending of light near such black-holes analyzing the movement of a test particle and the modification caused by extrinsic curvature on its movement. Accordingly, using the asymptotically conformal flat condition for the extrinsic curvature, an analytical expansion of a set of \emph{n}-scalar fields can be defined and we show that the corresponding black holes must be large and constrained in the range of allowed values $-1/2 \leq n \leq 1.8$. As a result, they are locally thermodynamically stable, but not globally preferred.
Comment: 10 pages,6 figures, 1 table, extended discussion on embeddings, corrected typos and references
نوع الوثيقة: Working Paper
DOI: 10.1016/j.aop.2017.03.006
URL الوصول: http://arxiv.org/abs/1507.06664
رقم الأكسشن: edsarx.1507.06664
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.aop.2017.03.006