Friday, 18 January 2019

general relativity - Ricci scalar for Black Hole


What is the value of Ricci scalar at $r=0$ inside Black Hole? Since $R_{\mu \nu}=0$ is vacuum solution and valid outside event Horizon of black hole where there is no mass energy density. But inside black hole at $r=0$ what is the value of Ricci scalar, where $T_{\mu\nu}\neq 0$. At this point geometry blow up (having infinite curvature) and Kretschmann scalar have value $K=\frac{48 G^2 M^2 }{r^6}$.




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