Abstract
The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR, where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the use of stationary (not static) coordinates, non-singular at the horizon, the Schwarzschild solution is presented as a point-like field configuration in a whole background Minkowski space. The requirement of a stable η-causality stated recently by J. B. Pitts and W. C. Schieve (Found. Phys. 34, 211 (2004)) is used essentially as a criterion for testing configurations.
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Petrov, A. The Schwarzschild Black Hole as a Point Particle. Found Phys Lett 18, 477–489 (2005). https://doi.org/10.1007/s10702-005-7538-2
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DOI: https://doi.org/10.1007/s10702-005-7538-2