## 142 Citations

A differential form approach for rotating perfect fluids in general relativity

- Physics
- 1992

A compact formulation for general relativistic, axisymmetric perfect fluids in stationary rotation is introduced; the case of differential rotation is included. The basic variables are differential…

A variational approach to resistive relativistic plasmas

- Physics
- 2016

We develop an action principle to construct the field equations for a multi-fluid system containing charge-neutral fluids, plasmas, and dissipation (via resistive interactions), by combining the…

RELATIVISTIC DYNAMICS OF VORTEX DEFECTS IN SUPERFLUIDS BRANDON CARTER

- Physics
- 2008

Superfluid condensates are known to occur in contexts ranging from laboratory liquid helium to neutron stars, and are also likely to occur in cosmological phenomena such as axion fields. In the zero…

A variational principle, in general relativity, for the equilibrium of an elastic body also capable of couple stresses

- Mathematics
- 1975

L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » (http://rendiconti.math.unipd.it/) implique l’accord avec les conditions générales d’utilisation…

Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star

- Mathematics
- 1973

Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the…

Axionic vorticity variational formulation for relativistic perfect fluids

- Physics
- 1994

For an arbitrary equation of state giving the pressure P as a function of the energy density , it is shown that the perfect fluid model defined thereby (and also the corresponding Ginzburg--Landau…

PRECEDING PAGE BLANK NOT FILMED CANONICAL FLUID THERMODYNAMICS

- Physics
- 2009

The space-time integral of the thermodynamic pressure plays the role of the thermodynamic potential for compressible, adiabatic flow in the sense that the pressure integral for stable flow is less…

Relativistic Dynamics of Vortex Defects in Superfluids

- Physics
- 1999

Superfluid condensates are known to occur in contexts ranging from laboratory liquid helium to neutron stars, and are also likely to occur in cosmological phenomena such as axion fields. In the zero…

Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models

- Physics
- 2016

Two types of Eulerian action principles for relativistic extended magnetohydrodynamics (MHD) are formulated. With the first, the action is extremized under the constraints of density, entropy, and…

Lagrangian for perfect fluids in special relativity

- Physics
- 1975

SummaryThe requirement of linearity between forces and accelerations leads to a unique given form for the Lagrangian density, which is also useful to construct nonlinear gravitational theories with…