30 August 2022 to 12 September 2022
Conference venue: OAC conference center, Kolymbari, Crete, Greece. The conference will take place in Crete in physical form, however participation is also possible via internet
Europe/Athens timezone
"Second MODE Workshop on Differentiable Programming for Experiment Design" following after ICNFP2022 (https://indico.cern.ch/event/1145124/)

Very Special Linear Gravity: A Gauge-Invariant Graviton Mass

6 Sept 2022, 16:30
20m
Room 4

Room 4

Speaker

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 $10^{-20}$. 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.

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Authors

JORGE ALFARO (Pontificia Universidad Católica de Chile) Mr Alessandro Santoni (Pontificia Universidad Católica de Chile)

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