home bbs files messages ]

Forums before death by AOL, social media and spammers... "We can't have nice things"

   sci.physics.relativity      The theory of relativity      225,861 messages   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]

   Message 225,512 of 225,861   
   Thomas 'PointedEars' Lahn to Thomas 'PointedEars' Lahn   
   Re: energy and mass   
   11 Feb 26 17:21:43   
   
   XPost: sci.physics, sci.electronics.design   
   From: PointedEars@web.de   
      
   Thomas 'PointedEars' Lahn wrote:   
   > The Einstein Field Equations are in units where c = 1   
   >   
   >   G_ab + Lambda g_ab = 8pi G T_ab,   
   >   
   > where   
   >   
   >   G_ab = R_ab - 1/2 R g_ab   
   >   
   > is (a component of) the Einstein tensor, R_ab is the Ricci curvature tensor,   
   > g_ab is the metric tensor, R = g^ab R_ab is the Ricci curvature scalar,   
   > Lambda is the cosmological constant, and T_ab is the   
   > (stress--)energy--momentum tensor.   
   >   
   > Gravitional effects are understood (in GR) as a consequence of the curvature   
   > of spacetime which is described by the quantities on the left-hand side of   
   > the equations.   
   >   
   > The energy--momentum tensor of a 1+3-dimensional spacetime has 16   
   > components, but it is antisymmetric so only 10 of them are unique.   
      
   Sorry, it's _symmetric_, of course --   
      
     (T_00  T_01  T_02  T_03)   (T_00  T_01  T_02  T_03)   
     (T_10  T_11  T_12  T_13) = (T_01  T_11  T_12  T_13).   
     (T_20  T_21  T_22  T_23)   (T_02  T_12  T_22  T_23)   
     (T_30  T_31  T_32  T_33)   (T_03  T_12  T_23  T_33)   
      
   --   
   PointedEars   
      
   Twitter: @PointedEars2   
   Please do not cc me. / Bitte keine Kopien per E-Mail.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]


(c) 1994,  bbs@darkrealms.ca