Thermodynamic geometry of 5D <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-charged black holes in extended thermodynamic space
Naba Jyoti Gogoi, Prabwal Phukon
Abstract
We study a five-dimensional $R$-charged black hole in extended thermodynamic space. Here, we consider pressure and volume as conjugate thermodynamic variables. We begin with a thermodynamic study based on Maxwell's equal area rule and then compute the Ruppeiner scalar curvature for a number of different charge combinations. We mainly focus on three characteristic cases: an $R$-charged black hole with three equal charges, two equal charges, and three unequal charges. Based on our analysis, we make an attempt to relate the Ruppeiner scalar curvature with the phase structure of the black hole.
Topics & Concepts
Scalar curvatureCurvaturePhysicsScalar (mathematics)Charge (physics)Space (punctuation)Black hole (networking)Phase spaceGeometryThermodynamicsMathematicsQuantum mechanicsComputer scienceOperating systemRouting protocolLink-state routing protocolComputer networkRouting (electronic design automation)Black Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories