Discrete and finite Genral Relativity

Details Discrete and finite Genral Relativity Discrete and finite Genral Relativity

1998-01-13

arxiv.org/abs/gr-qc/9801040v3

Class.Quant.Grav. 16 (1999) 619-630

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Modified conform the version to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/16/2/023

We develop the General Theory of Relativity in a formalism with extended causality that describes physical interaction through discrete, transversal and localized pointlike fields. The homogeneous field equations are then solved for a finite, singularity-free, point-like field that we associate to a ``classical graviton". The standard Einstein's continuous formalism is retrieved by means of an averaging process, and its continuous solutions are determined by the chosen imposed symetry. The Schwarzschild metric is obtained by the imposition of spherical symmetry on the averaged field.

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