XIV Latin American Symposium on High Energy Physics

VSR Linearized Gravity:A Gauge-Invariant Graviton Mass

15 Nov 2022, 14:45

15m

La Casa Blanca theater (USFQ main campus)

Parallel oral presentation Cosmology and gravitation Parallel session B

Speaker

Prof. JORGE ALFARO (Pontificia Universidad Católica de Chile)

Description

Linearized gravity in the Very Special Relativity (VSR) framework is considered. We prove that this theory allows for a non-zero graviton mass $m_g$ without breaking gauge invariance nor modifying the relativistic dispersion relation. We find the analytic solution for the new equations of motion in our gauge choice, verifying as expected the existence of only two physical degrees of freedom. Finally, through the geodesic deviation equation, we confront some results for classic gravitational waves (GW) with the VSR ones: we see that the ratios between VSR effects and classical ones are proportional to $(m_g/E{)}^2$, $E$ being the energy of a graviton in the GW. For GW detectable by the interferometers LIGO and VIRGO this ratio is at most ${10}^{-20}$. However, for GW in the lower frequency range of future detectors, like LISA, the ratio increases signficantly to ${10}^{-10}$, that combined with the anisotropic nature of VSR phenomena may lead to observable effects.

Presentation materials

LinearGravity_JAlfaro.pdf