We show that bounded families of global classical relativistic strings that can be written as graphs are relatively compact in $C^0$ topology, but their accumulation points include many non relativistic strings.
@article{1175797360,
author = {Brenier, Yann},
title = {Non Relativistic Strings may be Approximated by Relativistic Strings},
journal = {Methods Appl. Anal.},
volume = {12},
number = {1},
year = {2005},
pages = { 153-168},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797360}
}
Brenier, Yann. Non Relativistic Strings may be Approximated by Relativistic Strings. Methods Appl. Anal., Tome 12 (2005) no. 1, pp. 153-168. http://gdmltest.u-ga.fr/item/1175797360/