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Re: Pressure

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Posted by Zephram Cochrane/">Zephram Cochrane on November 29, 1999 06:31:20 UTC

: I understand that pressure has to be taken into : account in GR when determining space-time curvature. : What has pressure to do wiht it, I thought it : was mass that curved space-time?

Actually, Einstein's field equations are nonlinear differential equations relating the energy and momentum contained in the space in a term called the stress energy tensor Tmn to the geometry of the space-time in a term called the metric tensor gmn. The stress energy tensor contains more than just mass density r. It also contains any other energy or momentum contributions contained in the space, in this case it includes an energy presence due to pressure p. In the case of an ideal fluid it is given by: Tmn = -pgmn + (p + r)UmUn

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