Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-01-20
AnnalsPhys.290:83-123,2001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
version 2, 46 pages, latex 209, minor changes, accepted to Annals of Physics (NY)
Scientific paper
10.1006/aphy.2000.6121
The kinetic theory is formulated with respect to anholonomic frames of reference on curved spacetimes. By using the concept of nonlinear connection we develop an approach to modelling locally anisotropic kinetic processes and, in corresponding limits, the relativistic non-equilibrium thermodynamics with local anisotropy. This lead to a unified formulation of the kinetic equations on (pseudo) Riemannian spaces and in various higher dimensional models of Kaluza-Klein type and/or generalized Lagrange and Finsler spaces. The transition rate considered for the locally anisotropic transport equations is related to the differential cross section and spacetime parameters of anisotropy. The equations of states for pressure and energy in locally anisotropic thermodynamics are derived. The obtained general expressions for heat conductivity, shear and volume viscosity coefficients are applied to determine the transport coefficients of cosmic fluids in spacetimes with generic local anisotropy. We emphasize that such locally anisotropic structures are induced also in general relativity if we are modelling physical processes with respect to frames with mixed sets of holonomic and anholonomic basis vectors which naturally admits an associated nonlinear connection structure.
No associations
LandOfFree
Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-240592