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The Schwarzschild black hole as a point particle

A. N. Petrov
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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 in [J.B.Pitts and W.C.Schieve, Found. Phys., v. 34, 211 (2004)] is used essentially as a criterion for testing configurations.

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A. N. Petrov. 2005-07-06. The Schwarzschild black hole as a point particle. https://doi.org/10.1007/s10702-005-7538-2

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