publication . Preprint . Article . 1997

Distributional curvature of time-dependent cosmic strings

J P Wilson;
Open Access English
  • Published: 01 Dec 1997
Abstract
Colombeau's theory of generalised functions is used to calculate the contributions, at the rotation axis, to the distributional curvature for a time-dependent radiating cosmic string, and hence the mass per unit length of the string source. This mass per unit length is compared with the mass at null infinity, giving evidence for a global energy conservation law.
Subjects
free text keywords: General Relativity and Quantum Cosmology, Physics and Astronomy (miscellaneous), Conservation law, Physics, Linear density, Classical mechanics, Cosmic string, Global energy, Infinity, media_common.quotation_subject, media_common, Curvature, Generalized function

Ashtekar A, Biˇca´k J and Schmidt B G 1997 Asymptotic structure of symmetry reduced general relativity Phys. Rev. D 55 669-686 [OpenAIRE]

Clarke C J S, Vickers J A and Wilson J P 1996 Generalised functions and distributional curvature of cosmic strings Class. Quantum Grav. 13 2485-2498

Colombeau J F 1983 A multiplication of distributions Journal of Mathematical analysis and applications 94 96-115 [OpenAIRE]

Colombeau J F 1990 A multiplication of distributions Bulletin of the American Mathematical Society 23 251-268 [OpenAIRE]

Geroch R P 1977 Asymptotic structure of space-time in Asymptotic structure of space-time ed. F P Esposito and L Witten (Plenum)

Geroch R P and Traschen J 1987 Strings and other distributional sources in general relativity Phys. Rev. D 38 1017-1031 [OpenAIRE]

Kramer D, Stephani H, Herlt E and MacCallum M 1980 Exact solutions of Einstein's Field equations (Cambridge University Press)

Krishna Rao J 1964 Cylindrical waves in general relativity Proc. Nat. Sci. India A 30 439 Schwartz L 1954 Sur l'impossibilit´e de la multiplication des distributions. C. R. Acad. Sci. Paris 239 847-848

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Preprint . Article . 1997

Distributional curvature of time-dependent cosmic strings

J P Wilson;