dc.contributor.author |
Sango, Mamadou
|
|
dc.contributor.author |
Tadmon, Calvin
|
|
dc.date.accessioned |
2015-03-03T05:44:26Z |
|
dc.date.available |
2015-03-03T05:44:26Z |
|
dc.date.issued |
2014 |
|
dc.description.abstract |
Weanalyze the Einstein-Maxwell equations for an irrotational stiff fluid.
Under the spherical symmetry assumption on the space-time, in Bondi coordinates,
the considered model is reduced to a nonlinear evolution system of
partial integrodifferential equations. Assuming regularity at the center of
symmetry and that the matter content of the initial light cone is the so-called null
dust, the characteristic initial value problem associated to the obtained system is
solved globally by a contraction mapping argument. In future work we will
address the issue of global well-posedness for the considered model in other
physically interesting cases where the matter content of the initial light cone is
not the null dust. |
en_ZA |
dc.description.librarian |
hb2015 |
en_ZA |
dc.description.sponsorship |
University of Pretoria and a Focus Area Grant from the National Research Foundation
of South Africa. |
en_ZA |
dc.description.uri |
http://rendiconti.math.unipd.it/ |
en_ZA |
dc.identifier.citation |
Sango, M & Tadmon, C 2014, 'On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates', Rendiconti del Seminario Matematico della Università di Padova/The Mathematical Journal of the University of Padua, vol. 131, pp. 179-192. |
en_ZA |
dc.identifier.issn |
0041-8994 (print) |
|
dc.identifier.issn |
2240-2926 (online) |
|
dc.identifier.other |
10.4171/RSMUP/131-10 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/43836 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
European Mathematical Society Publishing House |
en_ZA |
dc.rights |
© 2014 EMS Publishing House. All rights reserved. |
en_ZA |
dc.subject |
Characteristic Cauchy problem |
en_ZA |
dc.subject |
Einstein-Maxwell-Euler equations |
en_ZA |
dc.subject |
Spherical symmetry |
en_ZA |
dc.subject |
Irrotational perfect fluid |
en_ZA |
dc.subject |
Bondi coordinates |
en_ZA |
dc.title |
On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates |
en_ZA |
dc.type |
Article |
en_ZA |