GT3 - Einstein-Maxwell Systems |
Speaker_ |
Baranov, Alexandre |
Co-autors |
Vlasov, Zakhar |
Talk _ |
STATIC BALL MODEL WITH NONHOMOGENEOUS DISTRIBUTION OF ELECTRIC CHARGE DENSITY |
Abstract _ |
The static exact solution of the Einstein-Maxwell equations extending similar solution with parabolic distribution of mass density is found [2]. Bondi's coordinates are used. An electric charge density $\rho(x) =\rho_0 (1-ax^2) \sqrt{\varepsilon(x)}$ and mass density $\mu(x) = \mu_0 (1-b\cdot x^2)^3$ are taken and the electric energy density differs from [1,2].The Einstein-Maxwell equations under condition $a/b = 80/63$ are transformed to $d^2G/d{\zeta}^2 + \Omega_0^2\cdot G=0$ with a solution $G(x)=G_0 \cdot cos(\Omega_0\cdot \zeta(x)+\alpha_0),$ where $G^2(x)=g_{00},$ $\zeta$- new variable, $x=r/R_0$- radial dimensionless variable, [1] A.M.Baranov //Vestnik of KrasSU (Phys. Math. Sci.), 2002, No.1, p.5. [2] A.M.Baranov, Z.V.Vlasov //Vestnik of KrasSU (Phys. Math. Sci.), 2005, No.1, p.4. |