Inertial and gravitational effects in the proper reference frame of an accelerated, rotating observer

Wei-Tou Ni and Mark Zimmermann
Phys. Rev. D 17, 1473 – Published 15 March 1978
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Abstract

Most experimental laboratories accelerate and rotate relative to inertial frames. This paper derives approximate expressions for the general-relativistic metric and the general-relativistic equations of motion of freely falling particles in such a laboratory. The metric is derived accurate to second order in distance from the origin of coordinates; the equations of motion are derived accurate to first order. The equations of motion contain inertial, Coriolis, and centripetal pseudoforces, electric, magnetic, and magnetic-magnetic type forces due to Riemann curvature (inhomogeneous gravity), "gravitational red-shift" corrections to these forces, and velocity-induced special-relativistic corrections.

  • Received 7 September 1977

DOI:https://doi.org/10.1103/PhysRevD.17.1473

©1978 American Physical Society

Authors & Affiliations

Wei-Tou Ni

  • Department of Physics, National Tsing Hua University, Hsinchu, Taiwan, Republic of China

Mark Zimmermann

  • W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125

Comments & Replies

Equivalence of two approaches to noninertial observers

B. DeFacio, P. W. Dennis, and David G. Retzloff
Phys. Rev. D 20, 570 (1979)

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Vol. 17, Iss. 6 — 15 March 1978

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