Remark on the equations of axially symmetric gravitational fields
Cimatti, Giovanni1
1 Università di Pisa, Italy
Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 91-100.

A local theorem of existence and uniqueness of solutions of the equations of stationary axially symmetric vacuum gravitational fields in the general theory of relativity close to the flat space solution is proved using the implicit function theorem in Banach spaces.

Publié le :
DOI : 10.4171/RSMUP/138-4
Classification : 83, 20
Mots-clés : Axially symmetric gravitational fields, existence and uniqueness of solutions, Weyl–Lewis–Papapetrou coordinates
Cimatti, Giovanni 1

1 Università di Pisa, Italy 
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     author = {Cimatti, Giovanni},
     title = {Remark on the equations of axially symmetric gravitational fields},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {91--100},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {138},
     year = {2017},
     doi = {10.4171/RSMUP/138-4},
     mrnumber = {3743246},
     zbl = {1384.83009},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/138-4/}
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Cimatti, Giovanni. Remark on the equations of axially symmetric gravitational fields. Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 91-100. doi : 10.4171/RSMUP/138-4. http://archive.numdam.org/articles/10.4171/RSMUP/138-4/

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