Application of Regge Calculus to the Axially Symmetric Initial-Value Problem in General Relativity

P. A. Collins; Ruth M. Williams

doi:10.1103/PhysRevD.5.1908

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Application of Regge Calculus to the Axially Symmetric Initial-Value Problem in General Relativity

P. A. Collins and Ruth M. Williams

Physics Department, Imperial College, London SW7, England

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Phys. Rev. D 5, 1908 – Published 15 April, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.1908

Abstract

Using Regge calculus some axially symmetric solutions of the initial-value equations of general relativity are constructed at the moment of time symmetry. Examples of infinite and closed spaces are given.

References (7)

T. Regge, Nuovo Cimento 19, 558 (1961)
J. A. Wheeler, in Relativity, Groups and Topology, edited by C. DeWitt and B. DeWitt (Gordon and Breach, New York, 1964)
Cheuk-Yin Wong, J. Math. Phys. 12, 70 (1971)
D. R. Brill, Ann. Phys. (N.Y.) 7, 466 (1959)
J. A. Wheeler, Geometrodynamics (Academic, New York, 1962) C. W. Misner, Phys. Rev. 118, 1110 (1960)
A. Einstein and N. Rosen, Phys. Rev. 48, 73 (1935) R. W. Lindquist, J. Math. Phys. 4, 938 (1963)
M. D. Kruskal, Phys. Rev. 119, 1743 (1960)

[c1] T. Regge, Nuovo Cimento 19, 558 (1961)

[c2] J. A. Wheeler, in Relativity, Groups and Topology, edited by C. DeWitt and B. DeWitt (Gordon and Breach, New York, 1964)

[c3] Cheuk-Yin Wong, J. Math. Phys. 12, 70 (1971)

[c4] D. R. Brill, Ann. Phys. (N.Y.) 7, 466 (1959)

[c5] J. A. Wheeler, Geometrodynamics (Academic, New York, 1962) C. W. Misner, Phys. Rev. 118, 1110 (1960)

[c6] A. Einstein and N. Rosen, Phys. Rev. 48, 73 (1935) R. W. Lindquist, J. Math. Phys. 4, 938 (1963)

[c7] M. D. Kruskal, Phys. Rev. 119, 1743 (1960)

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Application of Regge Calculus to the Axially Symmetric Initial-Value Problem in General Relativity

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