Initial data for time-symmetric gravitational radiation using Regge calculus

Details Initial data for time-symmetric gravitational radiation using Regge calculus Initial data for time-symmetric gravitational radiation using Regge calculus

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6..141d&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Feb. 1, 1989, p. 141-155.

Computer Science

8

Gravitational Waves, Regge Poles, Space-Time Functions, Boundary Value Problems, Einstein Equations, Finite Difference Theory, Hamiltonian Functions, Vacuum

Scientific paper

Regge calculus is used here to construct time-symmetric initial data for axisymmetric nonrotating vacuum spacetimes. The Regge calculus equivalent of the ADM Hamiltonian constraint equation at a moment of time symmetry is derived. A brief review of the continuum theory of the initial-value problem for Brill waves is presented. The Regge-Hamiltonian constraint equation is specialized to that of a Brill-type spacetime and is solved using a conformal mapping technique and a successive overrelaxation interaction algorithm. The results provide accurate and reliable solutions with which the Regge calculus results can be compared.

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