PoS - Proceedings of Science
Volume 329 - International Conference on Black Holes as Cosmic Batteries: UHECRs and Multimessenger Astronomy (BHCB2018) - Main session
Modification in Gravitational Waves Production Triggered by Spontaneous Lorentz Violation
K.M. Amarilo*, M. Barroso F. Filho and R. V. Maluf
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Pre-published on: May 13, 2019
Published on: May 21, 2019
In this work, we search how the production of gravitational waves is corrected by a spontaneous Lorentz violation triggered by the vacuum expectation value (VEV) of the bumblebee vector field ($b^\mu$). We consider the modified graviton equations of motion by the dynamics of the bumblebee field. In this formulation the graviton is still non-massive and has two degrees of freedom, but does not has a gauge transformation and the dispersion relation changes from $p^2 = 0$ to $p^2 + \xi (b^\mu p_\mu)^2 = 0$. Then, we solve these equations considering a current that acts as a source of the radiation. In this case, we apply the method of the Green's function to find a modified quadrupole formula for the perturbation.
DOI: https://doi.org/10.22323/1.329.0015
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