Groups > sci.physics.relativity > #375168

Re: Lagranian Method Revisited

From	Juan Sebastián <jseb@montserrat.info>
Newsgroups	sci.physics.relativity
Subject	Re: Lagranian Method Revisited
Date	2016-01-29 18:58 +0000
Organization	_N/A
Message-ID	<n8gcom$1pp3$1@gioia.aioe.org> (permalink)
References	(6 earlier) <6b3a818a-8378-49f0-907e-11fcc7d3cac1@googlegroups.com> <21d2cc31-5379-4c73-abad-4c4ba0eda597@googlegroups.com> <60281d27-7ee6-47fb-9a33-48126aea85dc@googlegroups.com> <e7e3499d-cf1a-4d55-a96a-f3767efccfc8@googlegroups.com> <f5KdnW9GGo71LjbLnZ2dnUU7_8ydnZ2d@giganews.com>

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Tom Roberts wrote:

> On 1/27/16 1/27/16 - 3:30 PM, JanPB wrote:
>> Again, staticity does not imply time independence of the g_ij, this is
>> a common bit of sloppiness but for the third time, here is a simple
>> counterexample of a static metric (Minkowski flat, in fact) which
>> nevertheless has a time-dependent coefficient:
>>
>>      ds^2 = -T^2 dT^2 + dX^2
> 
> Yes. In GR, "static" means the manifold has a timelike Killing vector.

You mean it means steady-state.

> For coordinates in which the metric components are independent of time,
> the time coordinate _IS_ a timelike Killing vector. But as has been said
> many times, there is no necessity of using such coordinates -- the line
> element above is for the manifestly static Minkowski manifold, but using
> coordinates in which T is not a timelike Killing vector.

If there is no necessity, then you contradict what JanPB said.

Thread

Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-25 00:27 -0800
  Re: Lagranian Method Revisited Gertrude Kräuter <gertk@bundesadler.org> - 2016-01-25 16:59 +0000
    Re: Lagranian Method Revisited Dirk Van de moortel <dirkvandemoortel@hotspam.not> - 2016-01-25 23:03 +0100
      Re: Lagranian Method Revisited Odd Bodkin <bodkinodd@gmail.com> - 2016-01-25 16:44 -0600
      Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-25 17:24 -0800
  Re: Lagranian Method Revisited alsor@interia.pl - 2016-01-25 09:05 -0800
  Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-25 21:44 -0800
    Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-25 22:10 -0800
      Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-26 00:36 -0800
        Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-26 22:37 -0800
          Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-26 23:29 -0800
            Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-26 23:57 -0800
              Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-27 01:55 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-27 09:50 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-27 13:30 -0800
                Re: Lagranian Method Revisited Juan Sebastián <jseb@montserrat.info> - 2016-01-27 22:06 +0000
                Re: Lagranian Method Revisited Juan Sebastián <jseb@montserrat.info> - 2016-01-27 22:16 +0000
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-27 23:17 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-27 23:49 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-28 13:56 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-28 17:45 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-29 13:19 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-29 14:54 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-29 15:32 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-29 15:59 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-29 17:57 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-29 22:24 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-31 13:38 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-01-31 21:39 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-02-01 09:01 -0800
                Re: Lagranian Method Revisited shan <shan@enterapps.org> - 2016-02-01 18:46 +0000
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-02-01 11:27 -0800
                Re: Lagranian Method Revisited dancouriann@gmail.com - 2016-01-30 09:41 -0800
                Re: Lagranian Method Revisited Polikwaptiwa <polikw@polikwamail.org> - 2016-01-30 17:49 +0000
                Re: Lagranian Method Revisited David Fuller <fuller.david@hotmail.com> - 2016-02-09 15:28 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-02-09 15:52 -0800
                Re: Lagranian Method Revisited Tom Roberts <tjroberts137@sbcglobal.net> - 2016-01-29 12:46 -0600
                Re: Lagranian Method Revisited Tom Roberts <tjroberts137@sbcglobal.net> - 2016-01-29 12:56 -0600
                Re: Lagranian Method Revisited Juan Sebastián <jseb@montserrat.info> - 2016-01-29 19:02 +0000
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-29 11:08 -0800
                Re: Lagranian Method Revisited Juan Sebastián <jseb@montserrat.info> - 2016-01-29 18:58 +0000
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-29 11:17 -0800
            Re: Lagranian Method Revisited alsor@interia.pl - 2016-01-27 10:27 -0800
              Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-27 13:33 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-01-31 15:16 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-31 15:29 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-01-31 16:41 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-01-31 18:42 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-02-03 10:31 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-02-08 23:20 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-02-09 11:20 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-02-09 16:02 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-02-09 16:21 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-02-10 10:18 -0800
                Re: Lagranian Method Revisited oriel36 <kelleher.gerald@gmail.com> - 2016-02-10 10:32 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-02-10 22:28 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-02-11 09:39 -0800
                Re: Lagranian Method Revisited oriel36 <kelleher.gerald@gmail.com> - 2016-02-11 09:45 -0800
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-02-12 11:36 -0800
                Re: Lagranian Method Revisited oriel36 <kelleher.gerald@gmail.com> - 2016-02-14 00:47 -0800
                Re: Lagranian Method Revisited Odd Bodkin <bodkinodd@gmail.com> - 2016-02-14 15:18 -0600
                Re: Lagranian Method Revisited Céline Desirée Hedwig <celinedh@bernhardine.org> - 2016-02-14 22:19 +0000
                Re: Lagranian Method Revisited alsor@interia.pl - 2016-02-14 14:37 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-02-23 17:06 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-03-01 12:54 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-03-01 13:00 -0800
                Re: Lagranian Method Revisited Koobee Wublee <koobee.wublee@gmail.com> - 2016-03-01 17:57 -0800
                Re: Lagranian Method Revisited JanPB <filmart@gmail.com> - 2016-03-01 19:03 -0800
  Re: Lagranian Method Revisited David Waite <waitedavid1618@yahoo.com> - 2016-01-27 02:03 -0800

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