Given a suitable energy density distribution, we find a solution of the linearized field equations of General Relativity that has some properties required by Einstein to be interpreted as a classical model of an extended elementary particle. It is spherically symmetric, free from singularities, smoothly connected with the outside linearized Schwarzschild solution and leads to a sort of “gravitational asymptotic freedom” in the limit r → 0. The case of a strong gravitational field is also studied with a numerical approach and the smooth behavior of the solution does not change.
A REGULARIZED SOLUTION OF THE LINEARIZED EINSTEIN EQUATIONS
FEOLI A
2007-01-01
Abstract
Given a suitable energy density distribution, we find a solution of the linearized field equations of General Relativity that has some properties required by Einstein to be interpreted as a classical model of an extended elementary particle. It is spherically symmetric, free from singularities, smoothly connected with the outside linearized Schwarzschild solution and leads to a sort of “gravitational asymptotic freedom” in the limit r → 0. The case of a strong gravitational field is also studied with a numerical approach and the smooth behavior of the solution does not change.File in questo prodotto:
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