Event horizon of elementary particles

Rick89
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Has anyone ever considered the outer event horizon of a point particle (classical electron perhaps...)? Does it make sense to consider it Kerr and charged because of spin? Is it comparable with a Planck length? I know we would need a quantum gravity to deal with it, I'm just curious to see what comes out...Thanx
 
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Thanx, I hadn't seen it, anyway not much has been said there. I suppose there isn't much to say... Anyone knows more about the topic?
Thank you
 
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Thread 'A sufficient condition for integrability of equation ##\nabla g=0##'

In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
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