Speakers
Description
Very Special Relativity (VSR) is a particular realization of Lorentz violation, which was presented for the first time by Cohen and Glashow in 2006 with the idea of introducing an alternative mechanism for neutrinos' masses. Since then, the ideas of VSR have been applied to many different areas. In this talk, after a short introduction to the key features of VSR, I will present its application to linearized gravity: we will see how, within the framework of VSR, it is possible to construct a coherent spin-2 free field theory, preserving the usual gauge invariance of linearized General Relativity while, at the same time, allowing for a non-zero graviton mass. Then, in an effective field theory approach, we will analyse the tree-level rate of gravitational emission $\frac{dE}{dt}$ from a classical source and apply those results to the case of binary stars, for which we are able to find the formula for the orbital period derivative $\dot P$ in VSR. In conclusion, using data from the two binary systems PSR B1913+16 and PSR J0737-3039, we estimate upperbounds on the VSR origin of a graviton mass around $10^{-21}eV$.