The solution equivalent to the Schwarzschild solution in general relativity for a spherical source for conformal gravity has a metric with:
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A spherically symmetric black hole can be described by the Schwarzschild solution, which was discovered in the early days of General Relativity.
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For example, in the Schwarzschild solution, the role of Friedmann-Lema�tre-Robertson-Walker ( FLRW ) metric ).
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A similar situation occurs in general relativity with the gravitational singularity associated with the Schwarzschild solution that describes the geometry of a black hole.
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Therefore, the surface gravity for the Schwarzschild solution with mass M is \ kappa = \ frac { 1 } { 4M }.
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:The Schwarzschild solution and hence the Schwarzschild radius, implicitly assume that expansion is neglible in the local neighborhood of the black hole.
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It is shown that inconsistencies arise when we look upon the Schwarzschild solution as the space-time arising from a localized point singularity.
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If you assume that the universe was uniformly filled with mass and has no boundary, then the Schwarzschild solution just doesn't apply.
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This should have been the same as the previous result, but as noted above the Earth is not spherical as assumed by the Schwarzschild solution.
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In deriving the Schwarzschild metric, it was assumed that the metric was vacuum, spherically symmetric and stationary; then one obtains the Schwarzschild solution.
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