Relativistic Fluid Mechanics

  title={Relativistic Fluid Mechanics},
  author={A. H. Taub},
  journal={Annual Review of Fluid Mechanics},
  • A. Taub
  • Published 1978
  • Physics
  • Annual Review of Fluid Mechanics
fluid mechanics may be characterized as a theory that describes the state of a fluid by means of five functions of at most four independent variables. The latter variables are of two kinds: three variables determining a point in a three­ dimensional Euclidean space and a fourth one labeling absolute time on some sta ndard universal clock. The five functions, the dependent variables of the theory, are also of two kinds: three of them are kinematic variables, vi (i = 1,2,3), the 
A Relativistic Model of Fluids Motion
The paper suggests a relativistic model of fluids motion combining the conventional formulation of the relativistic fluid mechanics with the “Maxwell’s formulation” of equations of the relativistic
Two explicit solutions in a reducible relativistic system
By reconsidering the linear equation which describes in the hodograph plane the motion of a relativistic fluid, a significant difference with respect to the analogous equation obtained in the
Hodograph equations in relativistic gas dynamics admitting an infinite number of symmetries
A straightforward application of the Lie‐group theory to the linear equation, which describes the relativistic one‐dimensional flow in the hodograph plane, is carried out. It is shown that, for
Note on the thermodynamics and the speed of sound of a scalar field
We investigate the correspondence between a perfect fluid and a scalar field and show a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and
On the classical and quantum irrotational motions of a relativistic perfect fluid I. Classical theory
  • S. Matarrese
  • Physics, Mathematics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1985
Some aspects of perfect-fluid general-relativistic hydrodynamics under the assumptions of irrotationality and isentropicity are analysed. A new derivation of the known fact that the Lagrangian for
Relativistic gasdynamics in two dimensions
Steady two‐dimensional flow of an ideal compressible fluid is studied in the context of special‐relativistic gasdynamics. The Newtonian equations for potential flow, including the equation of
Relativistic flows on a spacetime lattice
The relativistic extension of non-relativistic hydrodynamics suffers from notorious difficulties. In non-relativistic hydrodynamics where difficulties also abound, it has proved a useful supplement
Gas dynamics in strong gravitational fields
The steady and axially symmetric flow of a perfect fluid is studied in the context of general relativistic gas dynamics. It is assumed that the flow occurs in the background field of a rotating black
Thermodynamical equilibrium and spacetime geometry
In relativistic theory of irreversible thermodynamical processes near equilibrium, generally a series of assumptions is made having, in particular, the consequence that the temperature vector is a
Poisson type relativistic perfect fluid spheres
Static spherically symmetric solutions of the Einstein's field equations in isotropic coordinates representing perfect fluid matter distributions from Newtonian potential-density pairs are