Significance of c /sqrt2 in relativistic physics

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Significance of c /sqrt2 in relativistic physics

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Title: Significance of c /sqrt2 in relativistic physics
Author: Chicone, Carmen Charles; Mashhoon, Bahram
Keywords: equations of motion
classical general relativity
approximation methods
Date: 2004-11-22
Publisher: American Institute of Physics
Citation: C Chicone and B Mashhoon 2004 Class. Quantum Grav. 21 L139
Abstract: In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation can be simply illustrated in the case of motion in one dimension. For one-dimensional motion, such first-order accelerations are multiplied by (1 − V2/V2c), where V_c=c/\sqrt{2} is the critical speed. If the speed of relative motion exceeds Vc, there is a sign reversal with consequences that are contrary to Newtonian expectations.
URI: http://hdl.handle.net/10355/8556
ISSN: 0264-9381

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