GEOMETRIC DESCRIPTION OF THE THERMODYNAMICS OF A BLACK HOLE WITH POWER MAXWELL INVARIANT SOURCE

作者: Gustavo Arciniega , Alberto Sánchez

DOI:

关键词: Black braneExtremal black holeBlack holeClassical mechanicsGeometrothermodynamicsRotating black holeCharged black holeWhite holePhysicsBlack hole thermodynamicsThermodynamics

摘要: Considering a nonlinear charged black hole as thermodynamics system, we study the geometric description of its phase transitions. Using formalism geometrothermodynamics show that geometry space thermodynamic equilibrium states this kind holes is related with information about interaction, critical points and transitions structure. Our results indicate manifold curved curvature singularities appear exactly at those places where first second order occur.

参考文章(24)
Hernando Quevedo, Antonio Ramirez, A geometric approach to the thermodynamics of the van der Waals system arXiv: Mathematical Physics. ,(2012)
Edward Witten, Anti de Sitter space and holography Advances in Theoretical and Mathematical Physics. ,vol. 2, pp. 253- 291 ,(1998) , 10.4310/ATMP.1998.V2.N2.A2
Brian P Dolan, The cosmological constant and black-hole thermodynamic potentials Classical and Quantum Gravity. ,vol. 28, pp. 125020- ,(2011) , 10.1088/0264-9381/28/12/125020
Alessandro Bravetti, Alessandro Bravetti, Hernando Quevedo, Francisco Nettel, Cesar S. Lopez-Monsalvo, The conformal metric structure of Geometrothermodynamics Journal of Mathematical Physics. ,vol. 54, pp. 033513- 033513 ,(2013) , 10.1063/1.4795136
José L. Álvarez, Hernando Quevedo, Alberto Sánchez, Unified geometric description of black hole thermodynamics Physical Review D. ,vol. 77, pp. 084004- ,(2008) , 10.1103/PHYSREVD.77.084004
Hernando Quevedo, Geometrothermodynamics of black holes General Relativity and Gravitation. ,vol. 40, pp. 971- 984 ,(2008) , 10.1007/S10714-007-0586-0
Hideki Maeda, Mokhtar Hassaïne, Cristián Martínez, Magnetic black holes with higher-order curvature and gauge corrections in even dimensions Journal of High Energy Physics. ,vol. 2010, pp. 123- ,(2010) , 10.1007/JHEP08(2010)123
R. Mrugała, Submanifolds in the thermodynamic phase space Reports on Mathematical Physics. ,vol. 21, pp. 197- 203 ,(1985) , 10.1016/0034-4877(85)90059-X
Jan E. Åman, Ingemar Bengtsson, Narit Pidokrajt, Flat Information Geometries in Black Hole Thermodynamics General Relativity and Gravitation. ,vol. 38, pp. 1305- 1315 ,(2006) , 10.1007/S10714-006-0306-1
SH Hendi, HR Rastegar-Sedehi, None, Ricci flat rotating black branes with a conformally invariant Maxwell source General Relativity and Gravitation. ,vol. 41, pp. 1355- 1366 ,(2009) , 10.1007/S10714-008-0711-8