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The article says, "The metric of any spherically symmetric solution in
Schwarzschild form is:" and shows a metric with g00 = -1/g11. However, I believe spherically symmetric metrics only take this form for certain equations of state. Generally speaking g00 does not equal the negative inverse of g11.
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Also the
Schwarzschild de Sitter solution is not a "superposition" as the article claims. The Schwarzschild de Sitter solution is an exact solution to Einstein's Field Equations for a constant background density. The Schwarzschild term enters as a constant of integration.
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This solution is well known, and has interesting properties. It is a limit where black hole singularities run away to infinity and disappear.
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It would be nice to see the N-dim metric written down, as it is mentioned. And perhaps an appropriately labelled
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to illustrate some of the discussion? I didn't really follow the bit about
Susskind and Hawking.
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Sure every
Schwartzschild (and even once a Schwartschild) should rather be Schwarzschild?
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I went through with moving the page and correcting the instances in the article.
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