Re: Double counting gravitational potential energy



Jonathan Scott wrote:
For a field theory of gravity to make sense in a flat space
relativistic approximation, [...]
Unfortunately, this definitely doesn't agree with GR, because a
positive energy density in the field prevents black holes.

Why would you expect an APPROXIMATION based on "flat space" to be able
to describe black holes? After all, they are the quintessential example
of strong gravity in GR, which means a highly curved manifold.

Black holes are not the only manifolds this approximation cannot
describe -- any manifold which does not admit the flat space cannot be
handled; that is quite limiting topologically. For weak fields (e.g. the
solar system) this approximation can be quite useful LOCALLY, but for
global structure it is essentially useless.

Tom Roberts

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Relevant Pages

  • Re: Double counting gravitational potential energy
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  • Re: Double counting gravitational potential energy
    ... positive energy density in the field prevents black holes. ... Why would you expect an APPROXIMATION based on "flat space" to be able ... which means a highly curved manifold. ...
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