


ID:
60510.0,
MPI für Gravitationsphysik / Astrophysical Relativity 
Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle 
Authors:  Schutz, Bernard F.  Language:  English  Date of Publication (YYYYMMDD):  19701215  Title of Journal:  Physical Review D  Volume:  2  Start Page:  2762  End Page:  2773  Review Status:  not specified  Abstract / Description:  The equations of hydrodynamics for a perfect fluid in general relativity are cast in Eulerian form, with the fourvelocity being expressed in terms of six velocity potentials: U nu =µ1( phi , nu + alpha beta , nu + theta S, nu ). Each of the velocity potentials has its own "equation of motion." These equations furnish a description of hydrodynamics that is equivalent to the usual equations based on the divergence of the stressenergy tensor. The velocitypotential description leads to a variational principle whose Lagrangian density is especially simple: L=(g)1 / 2(R+16 pi p), where R is the scalar curvature of spacetime and p is the pressure of the fluid. Variation of the action with respect to the metric tensor yields Einstein's field equations for a perfect fluid. Variation with respect to the velocity potentials reproduces the Eulerian equations of motion  External Publication Status:  published  Document Type:  Article 
Communicated by:  Bernhard F. Schutz  Affiliations:  MPI für Gravitationsphysik/Astrophysical Relativity
 External Affiliations:  California Institute of Technology, Pasadena, California

Full Text: 
You have privileges to view the following file(s): 
60510.pdf [2,00 Mb] [Comment:Online Journal] 





The scope and number of records on eDoc is subject
to the collection policies defined by each institute
 see "info" button in the collection browse view.

