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arXiv · 1605.09087

Variational principle of relativistic perfect fluid

Takayoshi Ootsuka·Muneyuki Ishida·Erico Tanaka·Ryoko Yahagi
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Abstract

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.

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Takayoshi Ootsuka, Muneyuki Ishida, Erico Tanaka, Ryoko Yahagi. 2016-05-30. Variational principle of relativistic perfect fluid. https://doi.org/10.1088/0264-9381%2F33%2F24%2F245007

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