Published December 22, 2016
| Version v1
Journal article
Variational principle of relativistic perfect fluid
- 1. Physics Department, Ochanomizu University, 2-1-1 Ootsuka Bunkyo, Tokyo (Japan)
- 2. Department of Physics, Meisei University, 2-1-1 Hodokubo, Hino, Tokyo 191-8506 (Japan)
- 3. Department of Mathematics and Computer Science, Kagoshima University, 1-21-35 Kōrimoto Kagoshima, Kagoshima (Japan)
Description
We reformulate the relativistic perfect fluid system on curved space–time. Using standard variables, the velocity field u , energy density ρ and pressure p , the covariant Euler–Lagrange equation is obtained from variational principle. This leads to the Euler equation and the equation of continuity in reparametrization invariant form. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/0264-9381/33/24/245007Additional details
Identifiers
Publishing Information
- Journal Title
- Classical and Quantum Gravity
- Journal Volume
- 33
- Journal Issue
- 24
- Journal Page Range
- [7 p.]
- ISSN
- 0264-9381
- CODEN
- CQGRDG
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 49031999
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ENERGY DENSITY; IDEAL FLOW; LAGRANGE EQUATIONS; RELATIVISTIC RANGE; SPACE-TIME; VARIATIONAL METHODS; VELOCITY
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ENERGY RANGE; EQUATIONS; FLUID FLOW; INCOMPRESSIBLE FLOW; PARTIAL DIFFERENTIAL EQUATIONS; STEADY FLOW