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An Extension of Schwarzschild Space to r = 0

Amir H Abbassi

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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)]

grr = {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

04.20.-q Classical general relativity

Subjects

Gravitation and cosmology

Dates

Issue 5 (2001)

Received 8 February 2001



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