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Relativistic Perfect Fluids
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AbstractThis chapter builds the mathematical framework that is behind relativistic perfect fluids, namely those fluids for which viscous effects and heat fluxes are zero. Starting from the definition of the kinematic quantities of a perfect fluid and of the energy–momentum tensor, we explore the numerous forms assumed by the relativistic-hydrodynamics equations under a variety of conditions. While some of these conditions reflect simplifying assumptions, for instance when the flow is irrotational, or isentropic, or stationary, the resulting analytic solutions provide valuable insights that can be exploited even when considering more realistic and complex conditions. The chapter is completed by two advanced topics, represented by the derivation of the relativistic-hydrodynamics equations from variational principles and the treatment of multicomponent fluids.
Title: Relativistic Perfect Fluids
Description:
AbstractThis chapter builds the mathematical framework that is behind relativistic perfect fluids, namely those fluids for which viscous effects and heat fluxes are zero.
Starting from the definition of the kinematic quantities of a perfect fluid and of the energy–momentum tensor, we explore the numerous forms assumed by the relativistic-hydrodynamics equations under a variety of conditions.
While some of these conditions reflect simplifying assumptions, for instance when the flow is irrotational, or isentropic, or stationary, the resulting analytic solutions provide valuable insights that can be exploited even when considering more realistic and complex conditions.
The chapter is completed by two advanced topics, represented by the derivation of the relativistic-hydrodynamics equations from variational principles and the treatment of multicomponent fluids.
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