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Classical and Quantum Gravity Volume 21 Number 24 Create an alert RSS this journal

C Chicone and B Mashhoon 2004 Class. Quantum Grav. 21 L139 doi:10.1088/0264-9381/21/24/L01

Significance of c /sqrt2 in relativistic physics

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C Chicone1 and B Mashhoon2

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Abstract References Cited By

LETTER TO THE EDITOR

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.


PACS

04.20.-q Classical general relativity

04.25.-g Approximation methods; equations of motion

MSC

83C50 Electromagnetic fields

83C10 Equations of motion

83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories

Subjects

Gravitation and cosmology

Dates

Issue 24 (21 December 2004)

Received 30 June 2004, in final form 22 October 2004

Published 22 November 2004



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