%0 Journal Article
%T Determining the Cosmological Constant Using Gravitational Wave Observations
%A Thomas L. Wilson
%J Journal of Modern Physics
%P 1-8
%@ 2153-120X
%D 2020
%I Scientific Research Publishing
%R 10.4236/jmp.2020.111001
%X It is shown in Einstein gravity that the cosmological constant ¦« introduces a graviton mass mg into the theory, a result that will be derived from the Regge-Wheeler-Zerilli problem for a particle falling onto a Kottler-Schwarzschild mass with Λ ¡Ù 0. The value of mg is precisely the Spin-2 gauge line appearing on the Λ - <span style=\"white-space:nowrap;\">m<sup>2</sup><sub style=\"margin-left:-6px;\">g</sub></span> phase diagram for Spin-2, the partially massless gauge lines introduced by Deser & Waldron in the <span style=\"white-space:nowrap;\">m<sup>2</sup><sub style=\"margin-left:-6px;\">g</sub></span>, Λ) phase plane and described as the Higuchi bound <span style=\"white-space:nowrap;\">m<sup>2</sup><sub style=\"margin-left:-6px;\">g</sub></span>= 2Λ/3. Note that this graviton is unitary with only four polarization degrees of freedom (helicities ¡À2, ¡À1, but not 0 because a scalar gauge symmetry removes it). The conclusion is drawn that Einstein gravity (EG, Λ ¡Ù 0) is a partially massless gravitation theory which has lost its helicity 0 due to a scalar gauge symmetry. That poses a challenge for gravitational wave antennas as to whether they can measure the loss of this gauge symmetry. Also, given the recent results measuring the Hubble constant Ho from LIGO-Virgo data, it is then shown that Λ can be determined from the LIGO results for the graviton mass mg and Ho. This is yet another multi-messenger source for determining the three parameters
%K Gravitation
%K General Relativity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=97598