Remark on the equations of axially symmetric gravitational fields
نویسنده
چکیده
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. Mathematics Subject Classification (2010). 83C10, 83C05
منابع مشابه
Spherically Symmetric Solutions in a New Braneworld Massive Gravity Theory
In this paper, a combination of the braneworld scenario and covariant de Rham-Gabadadze-Tolley (dRGT) massive Gravity theory is proposed. In this setup, the five-dimensional bulk graviton is considered to be massive. The five dimensional nonlinear ghost-free massive gravity theory affects the 3-brane dynamics and the gravitational potential on the brane. Following the solutions with spherical s...
متن کاملOn Symmetries and Exact Solutions of Einstein Vacuum Equations for Axially Symmetric Gravitational Fields
Einstein vacuum equations, that is a system of nonlinear partial differential equations (PDEs) are derived from Weyl metric by using relation between Einstein tensor and metric tensor. The symmetries of Einstein vacuum equations for static axisymmetric gravitational fields are obtained using the Lie classical method. We have examined the optimal system of vector fields which is further used to ...
متن کاملAn axially-symmetric Newtonian Boson Star
A new solution to the coupled gravitational and scalar field equations for a condensed boson field is found in Newtonian approximation. The solution is axially symmetric, but not spherically symmetric. For N particles the mass of the object is given by M = Nm − 0.02298NG N m, to be compared with M = Nm− 0.05426NG N m for the spherically symmetric case. Recent developments in particle physics an...
متن کاملX iv : g r - qc / 0 50 10 02 v 2 2 7 Ju l 2 00 5 Charged Axially Symmetric Solution , Energy and Angular Momentum in Tetrad Theory of Gravitation Gamal
Charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation is derived. The metric associated with this solution is an axially symmetric metric which is characterized by three parameters " the gravitational mass M, the charge parameter Q and the rotation parameter a ". The parallel vector fields and the electromagnetic vector po...
متن کاملRemarks on Papapetrou Class of Vacuum Solutions of Einstein Equations
Class of axially symmetric solutions of vacuum Einstein field equations including the Papapetrou solution as particular case has been found. It has been shown that the derived solution describes the external axial symmetric gravitational field of the source with nonvanishing mass. The general solution is obtained for this class of functions. As an example of physical application, the spacetime ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016