Consider a particle that is at rest in the TT coordinate system of the gravitational-wave metric (27.80)
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Consider a particle that is at rest in the TT coordinate system of the gravitational-wave metric (27.80) before the gravitational wave arrives. In the text it is shown that the particle’s 4-velocity has ux = uy = 0 as the wave passes. Show that uz = 0 and ut = 1 as the wave passes, so the components of the particle’s 4-velocity are unaffected by the passing gravitational wave, and the particle remains at rest (constant x, y, and z) in the TT coordinate system.
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Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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