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user8817

In an article from the reference there are following words (page 2): "...pressure P is a Lorentz invariant... the result follows from standart properties of the relativistic stress-energy tensor...".

What properties are used by the authors of an article?

For example, I used the expression for Stressstress-energy tensor of an isotropic body: $$ T_{\alpha \beta} = (\varepsilon + p)\frac{v_{\alpha }v_{\beta}}{c^{2}} - g_{\alpha \beta }p. $$ If I determine pressure is determined as a 3-trace of this tensor, it's obviously that a pressureit isn't Lorentz invariant.

In an article from the reference there are following words (page 2): "...pressure P is a Lorentz invariant... the result follows from standart properties of the relativistic stress-energy tensor...".

What properties are used by the authors of an article?

For example, I used the expression for Stress-energy tensor of an isotropic body: $$ T_{\alpha \beta} = (\varepsilon + p)\frac{v_{\alpha }v_{\beta}}{c^{2}} - g_{\alpha \beta }p. $$ If I determine pressure as a 3-trace of this tensor, it's obviously that a pressure isn't Lorentz invariant.

In an article from the reference there are following words (page 2): "...pressure P is a Lorentz invariant... the result follows from standart properties of the relativistic stress-energy tensor...".

What properties are used by the authors of an article?

For example, I used the expression for stress-energy tensor of an isotropic body: $$ T_{\alpha \beta} = (\varepsilon + p)\frac{v_{\alpha }v_{\beta}}{c^{2}} - g_{\alpha \beta }p. $$ If pressure is determined as a 3-trace of this tensor, it's obviously that it isn't Lorentz invariant.

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user8817
user8817

Is pressure invariant under Lorentz transformations?

In an article from the reference there are following words (page 2): "...pressure P is a Lorentz invariant... the result follows from standart properties of the relativistic stress-energy tensor...".

What properties are used by the authors of an article?

For example, I used the expression for Stress-energy tensor of an isotropic body: $$ T_{\alpha \beta} = (\varepsilon + p)\frac{v_{\alpha }v_{\beta}}{c^{2}} - g_{\alpha \beta }p. $$ If I determine pressure as a 3-trace of this tensor, it's obviously that a pressure isn't Lorentz invariant.