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  • What is the equivalent of Rindler coordinates for an extended charge mo

    From john mcandrew@21:1/5 to All on Mon Mar 9 18:42:32 2020
    In a constant magnetic field B where an extended charge is moving in a circle say, all the parts are accelerated equally by the B field since they're moving at the same velocity. As a result, this will require internal forces of constraint created in the
    proper frame to maintain rigidness there, similar to those for hyperbolic acceleration via a constant E field.

    Is there a standard name for these coordinates or coordinate transformations?

    Thanks in advance,

    John McAndrew

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  • From john mcandrew@21:1/5 to john mcandrew on Thu Mar 12 12:44:18 2020
    On Tuesday, March 10, 2020 at 1:42:34 AM UTC, john mcandrew wrote:
    In a constant magnetic field B where an extended charge is moving in a circle say, all the parts are accelerated equally by the B field since they're moving at the same velocity. As a result, this will require internal forces of constraint created in
    the proper frame to maintain rigidness there, similar to those for hyperbolic acceleration via a constant E field.

    Is there a standard name for these coordinates or coordinate transformations?

    Thanks in advance,

    John McAndrew

    Embarrassingly obvious: just boost to the proper frame of the extended charge where it's accelerated by an electric field E = gamma vxB that rotates at angular velocity omega.

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  • From Jos Bergervoet@21:1/5 to john mcandrew on Fri Mar 13 10:55:04 2020
    On 20/03/12 8:44 PM, john mcandrew wrote:
    On Tuesday, March 10, 2020 at 1:42:34 AM UTC, john mcandrew wrote:
    In a constant magnetic field B where an extended charge is moving in a circle say, all the parts are accelerated equally by the B field since they're moving at the same velocity. As a result, this will require internal forces of constraint created in
    the proper frame to maintain rigidness there, similar to those for hyperbolic acceleration via a constant E field.

    Is there a standard name for these coordinates or coordinate transformations?

    Thanks in advance,

    John McAndrew

    Embarrassingly obvious: just boost to the proper frame of the extended charge where it's accelerated by an electric field E = gamma vxB that rotates at angular velocity omega.


    Locally that would be correct.

    For a solution in full space it might perhaps look like a black
    hole with charge: (with EM fields in the Kerr-Newman metric)

    http://en.wikipedia.org/wiki/Kerr%E2%80%93Newman_metric#Electromagnetic_fields_in_Kerr-Schild_form>

    (Or maybe you have to modify it even beyond that..)

    --
    Jos

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