Maxwell-Juttner distribution for rigidly-rotating flows in spherically symmetric spacetimes using the tetrad formalism

Abstract

We consider rigidly rotating states in thermal equilibrium on static spherically symmetric spacetimes. Using the Maxwell-Juttner equilibrium distribution function, onstructed as a solution of the relativistic Boltzmann equation, the equilibrium particle flow four-vector, stress-energy tensor and the transport coefficients in the Marle model are computed. Their properties are discussed in view of the topology of the speed-of-light surface induced by the rotation for two classes of spacetimes: maximally symmetric (Minkowski, de Sitter and anti-de Sitter) and charged (Reissner-Nordstrom) black-hole spacetimes. To facilitate our analysis, we employ a non-holonomic comoving tetrad field, obtained unambiguously by applying a Lorentz boost on a fixed background tetrad.

18 pages, 10 figures

References in corpus (12)

• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• The ideal relativistic spinning gas: polarization and spectra
• Rotating fermions inside a cylindrical boundary
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Thermodynamical inequivalence of quantum stress-energy and spin tensors
• Thermodynamic equilibrium in relativity: four-temperature, Killing vectors and Lie derivatives
• Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases
• Dirac fermions on an anti-de Sitter background
• Global equilibrium and local thermodynamics in stationary spacetimes
• Relativistic rotating Boltzmann gas using the tetrad formalism
• Atlas of Coordinate Charts on de Sitter Spacetime
• Massless rotating fermions inside a cylinder

Cited by in corpus (13)

• High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
• Helical massive fermions under rotation
• Thermal expectation values of fermions on anti-de Sitter space-time
• Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
• Quantum non-equilibrium effects in rigidly-rotating thermal states
• Linear stability analysis in inhomogeneous equilibrium configurations
• Quantum corrections in thermal states of fermions on anti-de Sitter space-time
• Anderson-Witting transport coefficients for flows in general relativity
• The Relativistic Maxwell-Jüttner Velocity Distribution Function
• Firewall boundaries and mixed phases of rotating quark matter in linear sigma model
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Relativistic transformation of temperature revisited
• Collective classical motion on hyperbolic spacetimes of any dimensions