Relativity and Cosmology

    

Two Alternative Arnowitt-Dresner-Misner,formalisms Using the Conventions Adopted by Misner-Thorne-Wheeler and Alcubierre Applied to the Natario Warp Drive Spacetime

Authors: Fernando Loup

General Relativity describes the gravitational field using the geometrical line element of a given generic spacetime metric where do not exists a clear difference between space andtime.This generical form of the equations using tensor algebra is useful for differential geometry where we can handle the spacetime metric tensor in a way that keeps both space and time integrated in the same mathematical entity (the metric tensor). However there are situations in which we need to recover the difference between space and time.The 3 + 1 ADM formalism allows ourselves to separate from the generic equation of a given spacetime the 3 dimensions of space(hypersurfaces) andthe time dimension.

Comments: 80 Pages.

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Submission history

[v1] 2023-11-29 21:49:05

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