A totally connected superluminal Natario warp drive spacetime with constant velocities
Résumé
Warp Drives are solutions of the Einstein Field Equations that allows superluminal travel within the framework of General Relativity. There are at the present moment two known solutions: The Alcubierre warp drive discovered in 1994 and the Natario warp drive discovered in 2001. However one the major drawbacks concerning warp drives is the problem of the Horizons(causally disconnected portions of spacetime) in which an observer in the center of the bubble cannot signal nor control the front part of the bubble. The behavior of a photon sent to the front of the warp bubble in the case of a Natario warp drive with constant velocity and a lapse function is the main purpose of this work.We present the behavior of a photon sent to the front of the bubble in the Natario warp drive in the 1 + 1 spacetime with lapse function using quadratic forms and the null-like geodesics ds 2 = 0 of General Relativity and we provide here the step by step mathematical calculations in order to outline the final result found in our work which is the following one: For the case of the lapse function the Horizon do not exists at all.Due to the extra terms in the lapse function that affects the whole spacetime geometry this solution allows to circumvent the problem of the Horizon.
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