In this paper, we study the various cylindrical solutions (cosmic strings) in gravitys rainbow scenario. In particular, we calculate the gravitational field equations corresponding to energy-dependent background. Further, we discuss the possible Kasner, quasi-Kasner and non-Kasner exact solutions of the field equations. In this framework, we find that quasi-Kasner solutions can not be realized in gravitys rainbow. Assuming only time-dependent metric functions, we also analyse the time-dependent vacuum cosmic strings in gravitys rainbow, which are completely different than the other GR solutions.
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