The Lagrangian density for cosmological constant is(adsbygoogle = window.adsbygoogle || []).push({});

$${\cal L} = \sqrt{g}\Lambda$$

Let us write, schematically,

$$g=\eta+h$$

where ##\eta## is the flat Minkowski metric and ##h## is the spin-2 field. Expanding the square root for small ##h## we get something like $${\cal L} = \Lambda + h\Lambda + h^2\Lambda + h^3\Lambda + ...$$

In particular, the term quadratic in ##h##, namely ##h^2\Lambda##, looks like a mass term for spin-2 field, suggesting that mass##^2## of the graviton is proportional to ##\Lambda##.

I'm sure there is something wrong with this naive argument, but can someone tell me more precisely what exactly is wrong?

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

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

# A Why isn't cosmological constant a mass of the graviton?

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - isn't cosmological constant | Date |
---|---|

I Stress–energy pseudotensor of gravitation field for DE | Jan 30, 2018 |

I Why isn't the Roemer type experiment a one way measure of c? | Dec 28, 2017 |

I Why isn't spacetime considered as true 4D? | Sep 29, 2016 |

Freefall isn't acceleration? | Jun 20, 2015 |

Why isn't length contraction permanent even though time dilation is? | Dec 18, 2014 |

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