Brandon Carter,

Avoidance of Collapse by Circular Current-carrying Cosmic String Loops

Brandon CARTER, Patrick PETER and Alejandro GANGUI Département d’Astrophysique Relativiste et de Cosmologie, Observatoire de Paris-Meudon, UPR 176, CNRS, 92195 Meudon (France), 2 International Center for Theoretical Physics, P. O. Box 586, 34100 Trieste, Italy, 3 International School for Advanced Studies, Via Beirut 4, 34014 Trieste, Italy. Email: [email protected], [email protected], gangu...

Editorial note to : Brandon Carter , Black hole equilibrium states Part I . Analytic and geometric properties of the Kerr solutions

Part 1 ofCarter’s “Black hole equilibrium states” gives amasterly account by one of the leading researchers in classical general relativity of the analytic and geometric properties of the Kerr solutions. These solutions include not only the two parameter family of Kerr solutions of the Einstein vacuum equations, but also the Kerr–Newman and Kerr–de Sitter solutions, which are the generalization...

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Regularisation of Classical Self Interaction in Strings

A general method of regularisation of classical self interaction in strings is extended from the electromagnetic case (for which it was originally developed) to the gravitation case, for which the result can also be represented as a renormalisation.

Amalgamated Codazzi Raychaudhuri identity for foliation

It is shown how a pure background tensor formalism provides a concise but explicit and highly flexible machinery for the generalised curvature analysis of individual embedded surfaces and foliations such as arise in the theory of topological defects in cosmological and other physical contexts. The unified treatment provided here shows how the relevant extension of the Raychaudhuri identity is r...