Exact one-body solution of the gauge-covariant gravitational field equations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Electromagnetic Fields, Field Theory (Physics), Gravitation Theory, Relativity, Black Holes (Astronomy), Dirac Equation, Gravitational Fields, Schwarzschild Metric

Scientific paper

An exact one-body vacuum solution of the gauge-covariant gravitational-field equations is presented which is consistent with Dirac's (1937) large-numbers hypothesis. This solution is shown to be analogous to the Schwarzschild solution in general relativity and to be valid for either Dirac's (1973) theory in the absence of an electromagnetic field or the gauge-covariant generalization of general relativity reported by Canuto et al. (1977). It is noted that the metric given by one of the equations constituting the desired solution represents an 'almost black' hole, in the sense that a radius approximately equal to 2GM yields a very large but finite redshift relative to a radius much greater than 2GM.

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