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
DOI : 10.4171/RSMUP/138-4
Classification :
83, 20
Mots clés : Axially symmetric gravitational fields, existence and uniqueness of solutions, Weyl–Lewis–Papapetrou coordinates
Mots clés : Axially symmetric gravitational fields, existence and uniqueness of solutions, Weyl–Lewis–Papapetrou coordinates
Affiliations des auteurs :
Cimatti, Giovanni 1
@article{RSMUP_2017__138__91_0, 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://www.numdam.org/articles/10.4171/RSMUP/138-4/} }
TY - JOUR AU - Cimatti, Giovanni TI - Remark on the equations of axially symmetric gravitational fields JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2017 SP - 91 EP - 100 VL - 138 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/138-4/ DO - 10.4171/RSMUP/138-4 ID - RSMUP_2017__138__91_0 ER -
%0 Journal Article %A Cimatti, Giovanni %T Remark on the equations of axially symmetric gravitational fields %J Rendiconti del Seminario Matematico della Università di Padova %D 2017 %P 91-100 %V 138 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/138-4/ %R 10.4171/RSMUP/138-4 %F RSMUP_2017__138__91_0
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://www.numdam.org/articles/10.4171/RSMUP/138-4/
Cité par Sources :