Freeman Posted February 11, 2006 Share Posted February 11, 2006 I've been studying Misner, Thorne, and Wheeler's Gravitation and a thought had occurred to me: if black holes had angular momentum, why wouldn't this cause torsion in spacetime? If this is true, wouldn't we need to reject Einstein's field equation and "get" a "new one"? Maybe I jumped to the conclusion too soon thinking "Aha, angular momentum of a black hole affects spacetime, thus spacetime would be 'twisted' or at least victim of some sort of torsion." I was also considering this in terms of quantized spacetime, which may have caused the problem(!). Link to comment Share on other sites More sharing options...
ydoaPs Posted February 11, 2006 Share Posted February 11, 2006 isn't a twisted spacetime around spinning objects PREDICTED by GR? i thought that was what gravity probe b was trying to test. Link to comment Share on other sites More sharing options...
Freeman Posted February 11, 2006 Author Share Posted February 11, 2006 From my understanding, grav probe b was trying to prove the equivalence principle by use of gyros. But doesn't the Ricci tensor "forbid" the torsion of the manifold (spacetime)? That was my impression. Link to comment Share on other sites More sharing options...
insane_alien Posted February 11, 2006 Share Posted February 11, 2006 i also thought GR predicted a twist and space time and that gravity probe b was trying to detect it. Yup here we go. http://en.wikipedia.org/wiki/Gravity_Probe_B Link to comment Share on other sites More sharing options...
pcs Posted February 11, 2006 Share Posted February 11, 2006 But doesn't the Ricci tensor "forbid" the torsion of the manifold (spacetime)? That was my impression. Yes, a Ricci tensor is symmetric [imath]R_{\alpha\beta} = R_{\beta\alpha}[/imath], and therefore torsionless. Link to comment Share on other sites More sharing options...
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