Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to show that electromagnetism and scalar field theories satisfy the DEC. I know how to find [tex]T_{\mu\nu}[/tex] and all that and what I have to show ([tex]T_{\mu\nu} T^\nu_{\ \lambda} t^\mu t^\lambda\leq 0[/tex] and [tex]T_{\mu\nu} t^\mu t^\nu\geq 0[/tex] for timelike [tex]t^\mu[/tex]), but I'm having trouble getting started.

Thanks!

(Edit: Make that just the minimally coupled scalar field theory, [tex]T_{\mu\nu} = \nabla_\mu \phi \nabla_\nu \phi - \frac{1}{2}g_{\mu\nu}\nabla^\sigma \phi \nabla_\sigma \phi - g_{\mu\nu}V(\phi)[/tex] for some positive potential)

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# DEC with E/M and scalar fields

Loading...

Similar Threads - scalar fields | Date |
---|---|

A Variation of scalar field action | Jan 21, 2018 |

I Scalar field | May 16, 2017 |

I Vector to scalar potential, transformation of fields | Sep 4, 2016 |

I Why are scalar fields Lorentz invariant? | Aug 18, 2016 |

A Landau Lifshitz Gravitational field equation | Aug 9, 2016 |

**Physics Forums - The Fusion of Science and Community**