Computer Science
Scientific paper
Dec 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975gregr...6..551s&link_type=abstract
General Relativity and Gravitation, Volume 6, Issue 6, pp.551-565
Computer Science
Scientific paper
It is shown that the manifestly covariant quantization of gravity correctly reproduces the classical Reissner-Nordström solution in the ℏ → 0 limit. This is explicitly verified by evaluating the lowest order tree graph contribution to the vacuum expectation value of the gravitational field produced by a spherically symmetric c-number charged source. The generalization from a point source to that of finite extension is unavoidable if the ‘trees’ are not to lead to divergent expressions. Moreover, the mass which appears in the R-N solution is seen to be positive definite. For convenience, the source is taken to be a sphere of uniform charge and matter densities. Owing to a mass renormalization relating the total mass of the sphere to its bare mass, charge and invariant extension, both exterior and interior solutions may then be generated. This mass renormalization formula is in complete agreement with that obtained by purely classical reasoning.
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