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Constraints on Hov{r}ava-Lifshitz gravity from GRB 170817A

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arxiv 2011.00816 v1 pith:C56ILTTD submitted 2020-11-02 gr-qc astro-ph.HE

Constraints on Hov{r}ava-Lifshitz gravity from GRB 170817A

classification gr-qc astro-ph.HE
keywords ava-lifshitzfeaturegravitypossibleanalyzingbetaconstraintsdimensional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we focus on a toy model: (3+1)-dimensional Ho\v{r}ava-Lifshitz gravity coupling with an anisotropic electromagnetic (EM) field which is generated through a Kaluza-Klein reduction of a (4+1)-dimensional Ho\v{r}ava-Lifshitz gravity. This model exhibits a remarkable feature that it has the same velocity for both gravitational and electromagnetic waves. This feature makes it possible to restrict the parameters of the theory from GRB 170817A. In this work we use this feature to discuss possible constraints on the parameter $\beta$ in the theory, by analyzing the possible Lorentz invariance violation effect of the GRB 170817A. This is achieved by analyzing potential time delay of gamma-ray photons in this event. It turns out that it places a stringent constraint on this parameter. In the most ideal case, it gives $|1-\sqrt{\beta}|<(10^{-19}-10^{-18})$.

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