Abstract. A more rigorous treatment of the Schwarzschild metric by making use of the energy-momentum tensor of a single point particle as source term shows that

g₀₀ = -{1 - 2GM/c²r - (8G²M²/c⁴ r²) (θ(r) - 1)} exp[2(θ(r) - 1)]

g_rr = {1 - 2GM/c²r - (8G²M²/c⁴r²) (θ(r) - 1)}^-1.

The existence of a discontinuity at r = 0 leads to an infinite repulsive force that will change the ultimate fate of a free fall test particle to a bouncing state.

PACS numbers: 04.20.Jb, 04.70.Bw

Print publication: Issue 5 (2001)
Received 8 February 2001