Energie-Impuls-Tensor ed
Ein paar Gedanken... erst nur Murks, dann vielleicht irgendwann sinnvolle Definitionen?
Table of Contents
Generell ed
...Erhaltungssatz aus Transformationen:
- \( \partial_\nu T^{\nu \mu} = 0 \)
Beispiele ed
nicht-interagierende Materie ed
- \( T^{\mu\nu} = \rho u^\mu u^\nu = p^\mu u^\nu \)
- \( \partial_\mu T^{\mu\nu} = \dots \)
Fluidum ed
- \( T^{\mu\nu} = (\rho + p/c^2) u^\mu u^\nu + p g^{\mu\nu} \)
Elektrodynamik ed
- \( T^{\mu\nu} = F^{\mu \alpha} {F_\alpha}^\nu - \frac{1}{4} g^{\mu\nu} F^{\alpha\beta} F_{\alpha\beta} \)
- \( \partial_\mu T^{\mu\nu} = \partial_\mu F^{\mu \alpha} \cdot {F_\alpha}^\nu + F^{\mu \alpha} \cdot \partial_\mu {F_\alpha}^\nu - \frac{1}{2} g^{\mu\nu} F^{\alpha\beta} \cdot \partial_\mu F_{\alpha\beta} = f^\nu + \dots \)