ds[tex]^{2}[/tex] = -c[tex]^{2}[/tex](1 - [tex]\frac{2Gm}{c^{2}r}[/tex])dt[tex]^{2}[/tex] + (1 - [tex]\frac{2Gm}{c^{2}r}[/tex])[tex]^{-1}[/tex] dr[tex]^{2}[/tex] + r[tex]^{2}[/tex]d[tex]\Omega[/tex][tex]^{2}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

This equation was posted on a different website and the O.P said:"Applying variational principles to that metric describes a black hole!"

I was wondering if anyone could explain it a little better. Also, to anyone knows who Miguel Alcubierre is (the guy that created an equation for a hypothetical warp-drive); the above equation shows some similarities to his:

ds[tex]^{2}[/tex] = -dt[tex]^{2}[/tex] + (dx - v[tex]_{s}[/tex]f(r[tex]_{s}[/tex]dt)[tex]^{2}[/tex] + dy[tex]^{2}[/tex] + dz[tex]^{2}[/tex]

Does this have any implications, be they big or small? Anyone have any inputs on this?

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# Applying variational principles to that metric describes a black hole!

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