General relativity and conformal invariance. I - A new look at some old field equations. II - Non-existence of black holes

Details General relativity and conformal invariance. I - A new look at some old field equations. II - Non-existence of black holes General relativity and conformal invariance. I - A new look at some old field equations. II - Non-existence of black holes

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jpha...12..367s&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 12, Mar. 1979, p. 367-373, 375-381.

Mathematics

2

Conformal Mapping, Field Theory (Algebra), Invariance, Relativity, Approximation, Scalars, Singularity (Mathematics), Theorems

Scientific paper

It is shown that general relativity needs to be conformally invariant just as much as it needs to be coordinate invariant. A new way of writing the equations is given that eliminates the possibility of misconceptions creeping in on account of the standard practice of always using the same length unit in every situation. Recourse is taken to the frame B defined by Islam (1969), which is defined in a local region of the manifold by the condition that only the nonlocal part of the mass field (sigma) be constant. Any singularities will be in the local part and not in the nonlocal part. With this locally adapted frame in mind, it is shown that the Schwarzschild black hole has no physical meaning.

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