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Discussion of Mathematical and Physical Properties of the Metric of the Rigidly Rotating Disk of Dust

Kleinwächter, A. and Meinel, R. and Neugebauer, G. (2002) Discussion of Mathematical and Physical Properties of the Metric of the Rigidly Rotating Disk of Dust. In: The Ninth Marcel Grossmann Meeting. World Scientific , Singapore, pp. 880-881. https://resolver.caltech.edu/CaltechAUTHORS:20170213-110615130

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Abstract

The exact global solution of the rigidly rotating disk of dust [1] is given in terms of ultraelliptic functions. Here we discuss the "theta formula" for the Ernst potential [2]. The space-time coordinates of the problem enter the arguments of these functions via ultraelliptic line integrals which are related to a Riemann surface. The solution is refomulated so as to make it easier to handle and all appearing integrals are transformed into definite real integrals. For the axis of symmetry and the plane of the disk these general formulae can be reduced to standard elliptic functions and elliptic integrals.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1142/9789812777386_0092DOIArticle
http://www.worldscientific.com/doi/abs/10.1142/9789812777386_0092PublisherArticle
Additional Information:© 2002 World Scientific Publishing Co Pte Ltd.
DOI:10.1142/9789812777386_0092
Record Number:CaltechAUTHORS:20170213-110615130
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170213-110615130
Official Citation:DISCUSSION OF MATHEMATICAL AND PHYSICAL PROPERTIES OF THE METRIC OF THE RIGIDLY ROTATING DISK OF DUST A. KLEINWÄCHTER, R. MEINEL, and G. NEUGEBAUER The Ninth Marcel Grossmann Meeting. December 2002, 880-881
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:74237
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Feb 2017 19:52
Last Modified:11 Nov 2021 05:25

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