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.
|Titolo:||A REGULARIZED SOLUTION OF THE LINEARIZED EINSTEIN EQUATIONS|
|Data di pubblicazione:||2007|
|Appare nelle tipologie:||1.1 Articolo in rivista|