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Classical and Quantum Gravity


Classical and Quantum Gravity Volume 2 Number 6

H Pfister and K H Braun 1985 Class. Quantum Grav. 2 909 doi:10.1088/0264-9381/2/6/015

Induction of correct centrifugal force in a rotating mass shell

H Pfister and K H Braun

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Abstract References Cited By Metrics

Mach's idea of relativity of rotation is confirmed for a shell-type model of the Universe by showing that flat geometry in rotating coordinates, realising correct Coriolis and centrifugal forces, can be continuously connected through a rotating mass shell with not exactly spherical shape and latitude-dependent mass density to an asymptotically Minkowskian outside metric. The corresponding solutions of Einstein's field equations are given to second order in the angular velocity omega but it is plausible that the problem has a solution to any order of omega .


PACS

04.20.-q Classical general relativity

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Dates

Issue 6 (November 1985)

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