Sunday 12 August 2018

general relativity - Physical interpretation of the Reissner-Nordstrom metric for the special case


In the Reissner-Nordstrom metric $$ \mathrm ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)~\mathrm dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} ~\mathrm dr^2 - r^2~\mathrm d\Omega^2$$ when we consider the case with $$ \frac{2GM}{r} = \frac{GQ^2}{4\pi\epsilon_0 r^2} \;,$$



what is the meaning of this case?


Does Electromagnetic force counterbalance the gravitational force?




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