Report
Geometric thermodynamics: black holes and the meaning of the scalar curvature
| العنوان: | Geometric thermodynamics: black holes and the meaning of the scalar curvature |
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| المؤلفون: | García-Ariza, Miguel Á., Montesinos, Merced, del Castillo, Gerardo F. Torres |
| المصدر: | Entropy16:6515,2014 |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, High Energy Physics - Theory, Mathematical Physics, Physics - Chemical Physics |
| الوصف: | In this paper we show that the vanishing of the scalar curvature of Ruppeiner-like metrics does not characterize the ideal gas. Furthermore, we claim through an example that flatness is not a sufficient condition to establish the absence of interactions in the underlying microscopic model of a thermodynamic system, which poses a limitation on the usefulness of Ruppeiner's metric and conjecture. Finally, we address the problem of the choice of coordinates in black hole thermodynamics. We propose an alternative energy representation for Kerr-Newman black holes that mimics fully Weinhold's approach. The corresponding Ruppeiner's metrics become degenerate only at absolute zero and have non-vanishing scalar curvatures. Comment: LaTeX file, no figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/e16126515 |
| URL الوصول: | http://arxiv.org/abs/1407.5501 |
| رقم الانضمام: | edsarx.1407.5501 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/e16126515 |
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