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Assuming the energy momentum tensor is known (coupled with the metric somehow), what is initial data required to determine the metric at all later times?

- Thread starter HomogenousCow
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- #1

- 689

- 142

Assuming the energy momentum tensor is known (coupled with the metric somehow), what is initial data required to determine the metric at all later times?

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WannabeNewton

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The initial value problem is an extremely standard topic in most (all?) advanced GR texts. You would benefit much more from a thorough reading of a chapter on the Cauchy problem from a GR text and subsequently asking more specific questions here. See for example chapter 10 of Wald. You can also find a lot of readings online on the Cauchy problem e.g.

http://www.icm2006.org/proceedings/Vol_III/contents/ICM_Vol_3_22.pdf

http://arxiv.org/pdf/gr-qc/0002074v1.pdf

http://projecteuclid.org/download/pdf_1/euclid.cmp/1103841822

See also chapter 27 of Geroch's GR notes: http://home.uchicago.edu/~geroch/Links_to_Notes.html [Broken]

http://www.icm2006.org/proceedings/Vol_III/contents/ICM_Vol_3_22.pdf

http://arxiv.org/pdf/gr-qc/0002074v1.pdf

http://projecteuclid.org/download/pdf_1/euclid.cmp/1103841822

See also chapter 27 of Geroch's GR notes: http://home.uchicago.edu/~geroch/Links_to_Notes.html [Broken]

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